1

LEARN MATHS FROM S.K. RAJU (9811549822, 9811649822)

NATIONALISED BANKS& IBPS PO/MT/SO

1. Suresh invested a sum of Rs. 15000 at 9per cent per annum simple interest and Rs.12000 at 8 per cent per annum compoundinterest for a period of 2 years. Whatamount of interest did Suresh earn in 2years ?(1) Rs. 4096.60 (2) Rs. 4696.80(3) Rs. 4896.60 (4) Rs. 4698.60(5) None of these(Syndicate Bank PO Exam. 10.10.2004)

2. Satish invests Rs. 35,500 in a schemewhich earns him simple interest at the rateof 15 p.c.p.a. for two years. At the end oftwo years he reinvests the principal amountplus interest earned in another schemewhich earns him compound Interest at therate of 20 p.c.p.a. What will be the totalinterest earned by Satish over the principalamount at the end of 5 years ?(1) Rs. 30,956.80(2) Rs. 35,017.20(3) Rs. 43,597.80(4) Rs. 44,247.20(5) None of these

(Union Bank of India POExam. 27.11.2005

3. The simple interest accrued on an amountof Rs. 14,800 at the end of three years isRs. 6,216. What would be the compoundinterest accrued on the same amount at thesame rate in the same period ?(1) Rs. 6986.1142(2) Rs. 7042.2014(3) Rs. 7126.8512(4) Rs. 8321.4166(5) None of these

(Corporation Bank POExam. 29.07.2006)

4. The simple interest accrued on an amountof Rs. 40,000 at the end of three years isRs. 12,000. What would be the compoundinterest accrued on the same amount at thesame rate in the same period ?(1) Rs. 18,765 (2) Rs. 15,350(3) Rs. 21,555 (4) Rs. 13,240(5) None of these

(Andhra Bank PO Exam. 14.09.2008)5. The compound interest accrued on an

amount of Rs. 22,000 at the end of twoyears is Rs. 5,596.8. What would be thesimple interest accrued on the same amountat the same rate in the same period ?

(1) Rs.5,420 (2) Rs.5,360(3) Rs.5,280 (4) Rs.5,140(5) None of these

(Oriental Bank of CommercePO Exam. 21.12.2008)

6. The compound interest accrued on anamount of Rs. 25,500 at the end of threeyears is Rs. 8,440.5. What would be thesimple interest accrued on the same amountat the same rate in the same period ?(1) Rs. 4,650 (2) Rs. 5,650(3) Rs. 6,650 (4) Rs. 7,650(5) None of these

(Canara Bank PO Exam. 15.03.2009)7. What would be the compound interest

obtained on an amount of Rs. 20,000 at therate of 15 p.c.p.a. after 4 years ?(1) Rs. 14,980.125(2) Rs. 19,680.125(3) Rs. 16,780.125(4) Rs. 18,980.125(5) None of these

(Indian Overseas Bank POExam. 05.04.2009)

8. Mr. Duggal invested Rs. 20,000 with rateof interest at 20 p.c.p.a. The interest wascompounded half yearly for first year andin the next year it was compounded yearly.What will be the total interest earned at theend of two years ?(1) Rs. 8,800 (2) Rs. 9,040(3) Rs. 8,040 (4) Rs. 9,800(5) None of these

(United Bank of India POExam. 21.06.2009)

9. What will be the compound interestaccrued on an amount. Rs. 10,000 at therate of 20 p.c.p.a. in two years if the interestis compounded half yearly ?(1) Rs. 4,400 (2) Rs. 4,600(3) Rs. 4,641 (4) Rs. 4,680(5) None of these

(Andhra Bank PO Exam. 05.07.200910. What would be the compound interest

accrued on an amount of Rs. 7,400 at therate of 13.5 p.c.p.a. at the end of two years? (rounded off to two digits after decimal)(1) Rs. 2,136.87(2) Rs. 2,306.81(3) Rs. 2,032.18(4) Rs. 2,132.87(5) None of these

(Indian Bank PO Exam. 17.10.2010)

COMPOUND INTEREST

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LEARN MATHS FROM S.K. RAJU (9811549822, 9811649822)

11. What would be the compound interestaccrued on an amout of Rs. 45,400 at theend of two years at the rate of 15 p.c.p.a ?(1) Rs. 16411.5 (2) Rs. 14461.5(3) Rs. 16461.5 (4) Rs. 14641.5(5) None of these

(Bank Of India Banking OfficerExam. 24.01.2010)

12. Sonika invested an amount of Rs. 5,800 for2 years. At what rate of compound interestwill she get an amount of Rs. 594.5 at theend of two years ?(1) 5 p.c.p.a. (2) 4 p.c.p.a.(3) 6 p.c.p.a. (4) 8 p.c.p.a.(5) None of these

(Corporation Bank POExam. 09.05.2010)

13. A man gets a simple interest of Rs. 1,000on a certain principal at the rate of 5 p.c.p.a.in 4 years. What compound interest willthe man get on twice the principal in twoyears at the same rate ?(1) Rs. 1,050 (2) Rs. 1,005(3) Rs. 11,025 (4) Rs. 10,125(5) None of these

(Punjab & Sind Bank Exam.16.05.2010)

14. What will be the approximate differencein the simple and compound interestaccrued on an amount of Rs 2600 at the rateof 15 p.c. p.a. at the end of three years ?(1) Rs 167 (2) Rs 194(3) Rs 202 (4) Rs 172(5) Rs 184

(United Bank Of India POExam. 14.11.2010)

15. Pamela invested an amount of Rs 35,000for two years at the rate of 5 p.c.p.a. Whatamount of compound interest would shereceive at the end of two years ?(1) Rs 3587.50 (2) Rs 3500(3) Rs 3580.50 (4) Rs 3565.50(5) None of these

(PNB Management TraineeExam. 28.11.2010)

16. The simple interest accrued on a sum ofcertain principal is Rs 2,000 in five yearsat the rate of 4 p.c.p.a. What would be thecompound interest accrued on sameprincipal at same rate in two years ?(1) Rs 716 (2) Rs 724(3) Rs 824 (4) Rs 816(5) None of these

(Corporation Bank POExam. 16.01.2011)

17. The difference between the amount ofcompound interest and simple interestaccured on an amount of Rs 26000 at theend of 3 years is Rs 2994.134. What is therate of interest p.c.p.a. ?(1) 22(2) 17(3) 19(4) Cannot be determined(5) None of these

(Punjab & Sind Bank POExam. 23.01.2011)

18. The simple interest accrued on a sum ofcertain principal is Rs 6500 in eight yearsat the rate of 13 per cent per year. Whatwould be the compound interest accruedon that principal at the rate of 8 per centper year in 2 years?(1) Rs 1040 (2) Rs 1020(3) Rs 1060 (4) Rs 1200(5) None of these

(UCO Bank PO Exam. 30.01.2011)19. The simple interest accrued on a sum of

certain principal is Rs 7,200 in six years atthe rate of 12 p.c.p.a. What would be thecompound interest accrued on that principalat the rate of 5 p.c.p.a. in 2 years ?(1) Rs 1,020 (2) Rs 1,055(3) Rs 1,050 (4) Rs 1,025(5) None of these(Bank Of Baxoda PO Exam. 13.03.2011)

20. The simple interest accrued on an amountof Rs 22,500 at the end of four years is Rs10,800. What would be the compoundinterest accrued on the same amount at thesame rate at the end of two years ?(1) Rs 14,908 (2) Rs 5,724(3) Rs 26,234 (4) Rs 8,568(5) None of these

(IBPS Bank PO/MT CWE 18.09.2011)21. What is the difference between the simple

and compound interest on Rs 7300 at therate of 6 p.c.p.a. in 2 years ?(1) Rs 29.37 (2) Rs 26.28(3) Rs 31.41 (4) Rs 23.22(5) Rs 21.34

(IBPS Bank PO/MT CWE 17.06.2012)22. The compound interest earned on a sum

in 3 years at 15% per annum compoundedannually is Rs 6500.52. What is the sum ?(1) Rs 12480 (2) Rs 10500(3) Rs 14800 (4) Rs 13620(5) None of these

(IBPS Specialist OfficerCWE 17.03.2013)

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LEARN MATHS FROM S.K. RAJU (9811549822, 9811649822)

23. What would be the compound interestobtained on an amount of Rs. 7,790 at therate of 10 p.c.p.a. after two years ?(1) Rs. 1532.60 (2) Rs. 1495.90(3) Rs. 1653.50 (4) Rs. 1635.90(5) None of these

(IBPS RRBs Office AssistantCWE Exam. 09.09.2012)

SBI PO EXAMS1. The difference between the simple interest

on a certain sum at the rate of 10% perannum for 2 years and compound interestwhich is compounded every 6 months isRs. 124.05. What is the principal sum ?(1) Rs. 10,000 (2) Rs. 6,000(3) Rs. 12,000 (4) Rs. 8,000(5) None of these

(SBI Banks PO Exam. 20.08.2000)2. Sudharshan invested Rs. 15,000 at interest

@ 10 p.c. p.a. for one year. If the interestis compounded every six months whatamount will Sudharshan get at the end ofthe year ?(1) Rs. 16,537.50(2) Rs. 16, 500(3) Rs. 16, 525.50(4) Rs. 18,150(5) None of these

(SBI Associate BanksPO Exam. 21.07.2002)

3. What will be the compound interest on asum of Rs. 25,000 after three years at therate of 12 per cent p.a. ?(1) Rs. 10123.20(2) Rs. 9000.30(3) Rs. 10483.20(4) Rs. 9720(5) None of these

(SBI Banks PO Exam. 18.05.2003)4. Mr. Rao invests a sum of Rs. 41,250 at the

rate of 6 p.c.p.a. What approximate amountof compound interest will he obtain at theend of 3 years ?(1) Rs.8,100 (2) Rs.7,425(3) Rs.8,210 (4) Rs.7,879(5) Rs.7,295

(SBI PO Preliminary (Tire-I)Exam. 27.04.2008)

5. The simple interest accrued on an amountof Rs. 20,000 at the end of three years isRs. 7,200. What would be the compoundinterest accrued on the same amount at thesame rate in the same period ?(1) Rs. 8342.36

(2) Rs. 8098.56(3) Rs. 8246.16(4) Rs. 8112.86(5) None of these

(SBI PO Preliminary (Tire-I)Exam. 27.07.2008)

6. The compound interest accrued on anamount at the end of three years at 15 p.c.p.a.is Rs. 6500.52. What is the amount ?(1) Rs. 12480 (2) Rs. 10500(3) Rs. 14800 (4) Rs. 13620(5) None of these

(SBI PO Preliminary (Tire-I)Exam. 27.07.2008)

7. The compound interest earned by Sureshon a certain amount at the end of two yearsat the rate of 8 p.c.p.a was Rs. 1,414.4. Whatwas the total amount that Suresh got backat the end of two years in the form ofprincipal plus interest earned ?(1) Rs.9,414.4 (2) Rs.9.914.4(3) Rs.9,014.4 (4) Rs.8,914.4(5) None of these

(SBI & Rural Business POExam. 18.04.2010)

RBI GRADE—B OFFICER EXAMS1. The compound interest accrued on an

amount at the end of two years at the rate of12 p.c.p.a is Rs 2,862. What is the amount?(1) Rs 11,250 (2) Rs 12,200(3) Rs 13,500 (4) Rs 10,000(5) None of these(RBI Grade-B Officer Exam.06.02.2011)

INSURANCE EXAMS1. Rajan invested an amount of Rs. 8,000/-

in a fixed deposit scheme for 2 years atcompound interest rate 5 percent p.a. Howmuch amount will Rajan get on maturity ofthe fixed deposit ?(1) Rs. 8,620/- (2) Rs. 8,840/-(3) Rs. 8,800/- (4) Rs. 8,600/-(5) None of these

(LIC Assistant AdministrativeOfficer (AAO) Exam. 24.04.2005)

2. Sudharshan invested Rs. 15,000 at interest@ 10 p.c. p.a. for one year. If the interest iscompounded every six months whatamount will Sudharshan get at the end ofthe year ?(1) Rs. 16,537.50 (2) Rs. 16,500(3) Rs. 16,525.50 (4) Rs. 18,150(5) None of these

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LEARN MATHS FROM S.K. RAJU (9811549822, 9811649822)

(LIC Assistant AdministrativeOfficer (AAO) Exam. 2006)

3. A sum of money becomes Rs. 13,380 after3 years and Rs. 20,070 after 6 years on com-pound interest. The sum (in Rupees) is :(1) 8800 (2) 8890(3) 8920 (4) 9040

(United India Insurance Co.(AAO) Exam. 11.03.2007)

4. The compound interest (in Rupees) on Rs.

5,600 for 112

years at 10% per annum,

compounded annually, is(1) 882.70 (2) 873.50(3) 868 (4) 840

(LIC Assistant AdministrativeOfficer (AAO) Exam, 07.06.2009)

5. The simple interest accrued on an amountof Rs. 27,500 at the end of three years isRs. 10,230. What would be the approximatecompound interest accrued on the sameamount at the same rate in the same period ?(1) Rs. 11,550 (2) Rs. 12,620(3) Rs. 10,950 (4) Rs. 11,900(5) Rs. 13,500

(New India Assurance AOExam. 25.10.2009)

6. A sum of money lent out at compoundinterest increases in value by 50% in 5years. A person wants to lend three differentsums x, y and z for 10, 15 and 20 yearsrespectively at the above rate in such a waythat he gets back equal sums at the end oftheir respective periods. The ratio x : y : zis(1) 6 : 9 : 4 (2) 9 : 4 : 6(3) 9 : 6 : 4 (4) 6 : 4 : 9

(New India Assurance AOExam. 25.10.2009)

7. The simple interest accrued on a sum ofcertain principal is Rs 6,400 in four yearsat the rate of 8 p.c.p.a. What would be thecompound interest accrued on that principalat the rate of 2 p.c.p.a. in 2 years ?(1) Rs 800 (2) Rs 808(3) Rs 704 (4) Rs 700(5) None of these

(United India Insurance AOExam. 27.03.2011)

8. A sum of Rs. 91,000 is borrowed at 20%per annum compounded annually. If theamount is to be paid in three equalinstalments,the annual instalment will be(1) Rs. 43,200 (2) Rs. 42,800(3) Rs. 42,500 (4) Rs. 42,300

(United India Insurance AAOExam. 03.06.2012)

9. The compound interest accrued on anamount of Rs. 22,000 at the end of twoyears is Rs 5,596.8. What would be thesimple interest accrued on the same amountat the same rate in the same period ?(1) Rs.5,420 (2) Rs.5,360(3) Rs.5,280 (4) Rs.5,140(5) None of these

(United India InsuranceAO Exam. 26.05.2013

10. The difference between the compoundinterest and simple interest for the amountRs. 5,000 in 2 years is Rs. 32. The rate ofinterest is(1) 5% (2) 8%(3) 10% (4) 12%

(NICL (GIC) AO (Finance)Exam. 15.12.2013)

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5

LEARN MATHS FROM S.K. RAJU (9811549822, 9811649822)

SHORT ANSWERSNATIONALISED BANKS

& IBPS PO/MT/SO1. (2) 2. (4)3. (3) 4. (4)5. (3) 6. (4)7. (1) 8. (2)9. (3) 10. (4)11. (4) 12. (1)13. (5) 14. (5)15. (1) 16. (4)17. (3) 18. (1)19. (4) 20. (2)21. (2) 22. (1)23. (4)

SBI PO EXAMS1. (4) 2. (1)3. (1) 4. (4)5. (2) 6. (1)7. (2)

RBI GRADE—B OFFICER EXAMS1. (1)

INSURANCE EXAMS1. (5) 2. (1)3. (3) 4. (3)5. (1) 6. (3)7. (2) 8. (1)9. (3) 10. (2)

EXPLANATIONSNATIONALISED BANKS

& IBPS PO/MT/SO

1. (2) SI = 15000 9 2

100

= Rs. 2700

CI = 12000 281 1

100

= 12000 227 1

25

= 12000 729 625

625

= 12000 × 104625 = Rs. 1996.8

Total interest earned= Rs. (2700 + 1996.8) = Rs. 4696.8

2. (4) Simple interest

= 35500 15 2

100

= Rs. 10650

Principal for another investment= 35500 + 10650 = Rs. 46150

C.I. = Rs. 46150 3201 1

100

= Rs. 46150 36 1

5

= Rs. 46150 216 125

125

= Rs. 46150 91

125

= Rs. 33597.20Total interest earned= Rs (10650 + 33597.20) = Rs. 44247.20

3. (3) Let the rate p.c. p.a. be r.

r = 6216 10014800 3

= 14

C.I = P3

1 1100

r

= Rs. 148003141 1

100

= Rs. 14800 31.14 1 = Rs. 14800 (1.481544- 1)= Rs. 14800 × 0.481544= Rs. 7126.8512

4. (4) Rate = SI 100

Principal × Time

= 12000 100

40000 3

= 10%

CI = Principal TimeRate1 1

100

= 400003101 1

100

= 40000 [(1.1)3 - 1]= 40000 (1.331 - 1)= 40000 × 0.331 = Rs. 13240

5. (3) Let the rate of interest be R% perannum.

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LEARN MATHS FROM S.K. RAJU (9811549822, 9811649822)

CI = PTR1 1

100

5596.8 = 22000 2R1 1

100

5596.822000 =

2R1 1100

2R1

100

= 5596.8122000

2R1

100

= 22000 5596.8

22000

= 27596.822000

2R1

100

= 275968220000 =

1254410000

1 + R

100 = 1254410000

= 112100

R

100 = 112100 - 1 =

112 110100

= 12

100 R = 12%

SI = Principal × Time × Rate

100

= 22000 2 12

100

= Rs 5280

6. (4) Amount= Rs. (25500 + 8440.5)= Rs. 33940.5

A = PTR1

100

33940.5 = 25500 3R1

100

33940.525500 =

3R1100

339405255000 =

3R1100

13311000 =

3R1100

311

10

= 3R1

100

1 + R

100 = 1110

R

100 =1110 - 1 =

110

R = 100 ×1

10 = 10%

S.I = Principal × Time × Rate

100

= 25500 3 10

100

= Rs. 7650

7. (1) CI = P TR1 1

100

= 20000 4151 1

100

= 20000 431 1

20

= 20000 423 1

20

= 20000279841 160000

160000

= 20000 × 119841160000 = Rs 14980.125

8. (2) Amount = PrincipalTimeRate1

100

= 20000 2101

100

201100

(Rate of interest for the first year= 10%, Time = 2 half years)

= Rs. 11 11 62000010 10 5

= Rs. 29040

C.I. = Rs. (29040 - 20000) = Rs. 90409. (3) Interest is compounded half yearly.

R = 20% p.a. = 10%/half yearT = 2 years = 4 half years

C.I = PTR1 1

100

= 100004101 1

100

= 10000411 1

10

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LEARN MATHS FROM S.K. RAJU (9811549822, 9811649822)

= 10000121 1211 1100 100

= 10000 × 221100 ×

21100 = Rs.4641

10. (4) C.I. = P TR1 1

100

= 7400213.51 1

100

= 7400 21.135 1 = 7400 × 0.288225 = Rs. 2132.87

11. (4) C.I. = PTR1 1

100

= 454002151 1

100

= 45400 21.15 1 = 45400 × 0.3225 = Rs. 14641.5

12. (1) Amount = PTR1

100

5800 + 594.5 = 58002R1

100

6394558000 =

2R1100

441400 =

2R1100

221

20

=2R1

100

1 + R

100 = 2120

R = 120 × 100

= 5% per annum.

13. (5) Principal = SI 100

Time Rate

=1000 100

4 5

= Rs. 5000

Case IIPrincipal = Rs. 10000

CI = PTimeRate1 1

100

= 10000251 1

100

= 10000 × 221 1

20

= 10000 × 41

400 = Rs. 1025

14. (5) A = PTR1 1

100

= 26003151 1

100

= 2600 × 41678000 = Rs. 1354.275

Simple interest = P R T

100

= 2600 15 3

100

= Rs. 1170

Difference = Rs. (1354.275 - 1170)= Rs. 184.275 Rs 184

15. (1) Compound interest

= P TR1 1

100

= 35000251 1

100

= 35000 × 41

400 = Rs.3587.5

16. (4) Principal

= SI 100

Time × Rate

= 2000 100

5 4

= Rs 10000

C.I = PTR1 1

100

= 10000241 1

100

= 10000226 1

25

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LEARN MATHS FROM S.K. RAJU (9811549822, 9811649822)

= 10000676 1625

= 10000 51

625

= Rs 816

17. (3) CI - SI for 3 years = P2 300

100 100r r

2994.134 = 26002 300

100 100r r

2994.134

26000 = 2300

1000000r r

2994134000

26000 = 300r2 + r3

115159 = 300r2 + r3

Option (3) r = 19% satisfies the equation.

18. (1) Principal = SI ×100

Time × Rate

= 6500 100

8 13 = Rs. 6250

CI = PTR1 1

100

= 6250281 1

100

= 6250227 1

25

= 6250729 625

625

=6250 104

625

= Rs 1040

19. (4) Principal = S.I × 100

Time × Rate

= 7200 100

6 12 = Rs 10000

C.I = PTR1 1

100

= 10000251 1

100

= 10000221 1

20

= 10000441 1400

= 10000 41

400

= Rs. 1025

20. (2) Rate = S.I × 100

Principal × Time

= 10800 100

22500 4 = 12% per annum

CI = PTR1 1

100

= 225002121 1

100

= 22500228 1

25

= 22500 784 625

625

= 22500 159

625

= Rs. 5724

21. (2) Difference =

2

2

P R100

= 7300 36

10000

= Rs. 26.28

22. (1) Let the principal be Rs. x, then

x3151

100

- x =650052

100

x ×2320 ×

2320 ×

2320 - x =

650052100

12167x - 8000x = 650052 8000

100

x = 650052 8000

100 4167

= 156 × 80

= Rs. 12480

23. (4) C.I. = PTR1 1

100

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LEARN MATHS FROM S.K. RAJU (9811549822, 9811649822)

= 77902101 1

100

= 7790121 1100

=7790 21

100

= Rs. 1635.90

SBI PO EXAMS1. (4) Let the principal sum be Rs. P

SI = PRT100

CI = PntR1 1

100

R = 10%, T = 2 years, n = 2because CI is compounded half

SI = P 10 2

100

= P5

CI = P2 2101 1

100 2

CI = P421 1

20

CI = P194481 1160000

CI = 3448116000 P

CI - SI = 34481 PP

160000 5

= 34481 32000

160000

P

= 2481

160000 P

2481

16000 P = 124.05

P = 124.05 160000

2481

= Rs. 80002. (1) Interest is compounded half yearly.

Hence rate of interest

= 102

= 5%

No. of periods = 2Amount

= 15000251

100

= 15000 × 2120 ×

2120

= Rs. 16537.503. (1)

CI. = 250003121 1

100

TRC.I. P 1 1100

= 25000 {(1.12)3 - 1}= 25000 (1.404928- 1)= 25000 × 0.404928= Rs. 10123.2

4. (4) C.I. = PTR1 1

100

= 41250361 1

100

= 41250148877 125000

125000

= 41250 × 23877

125000 = Rs 7879.41

Rs. 7879

5. (2) Rate= S.I. 100

Principal Time

= 7200 10020000 3

= 12% Per annum

C.I. = PTR1 1

100

= 200002121 1

100

= 20000 31.12 1 = 20000 × (1.404928 - 1)= Rs. 8098.56

6. (1) Let the principal be Rs. P.According to the question,

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10

LEARN MATHS FROM S.K. RAJU (9811549822, 9811649822)

C.I. = PTR1 1

100

6500.52 = P3151 1

100

6500.52 = P [1.520875 - 1]

P = 6500.520.520875

= Rs.12480

7. (2) CI = PTR1 1

100

1414.4 = P281 1

100

1414.4 = P × 0.1664

P = 1414.40.1664 = Rs. 8500

Amount = Rs. (8500 + 1414.4)= Rs. 9914.40

RBI GRADE-B OFFICER EXAMS1. (1) If the principal be Rs. P, then

C.I = PTR1 1

100

2862 = P2121 1

100

2862 = P228 1

25

2862 = P ×784 625

625

2862 = P × 159625

P = 2862 625

159

= Rs. 11250

INSURANCE EXAMS1. (5) P = 8000

t = 2 yearsr = 5%

A = P 1100

tr

= 8000251

100

= 80002105

100

= 8000 × 105100 ×

105100 = Rs.8820

2. (1) Interest is compounded half yearly.Hence rate of interest

= 102 = 5%

No. of periods = 2Amount

= 15000251

100

= 15000 × 2120 ×

2120 = Rs. 16537.50

3. (3) Let the sum be Rs. x. Then,

x3

1100

R =13380 ...(i)

and,

x6

1100

R = 20070 ...(ii)

Dividing equation (ii) by (i),3

1100

R=

2007013380

=32

From equation (i),

x ×32 = 13380

x = 13380 × 23

= 8920

Hence, the sum is Rs. 8920.4. (3) Amount

= PrincipalTimeRate1

100

= Rs.

112105600 1

100

= Rs.

1 1010 25600 1 1100 100

= Rs.11 21560010 20

= Rs. 6468

Compound interest= Rs. (6468 - 5600) = Rs. 868

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11

LEARN MATHS FROM S.K. RAJU (9811549822, 9811649822)

5. (1) Rate =SI 100

Principal × Time

= 10230 100

27500 3

= 12.4%

C.I = PTR1 1

100

= 27500312.41 1

100

27500 (1.42- 1)= 27500 × 0.42= Rs. 11550

6. (3) Tricky approachAccording to the question,

232

x = 33

2

y = 43

2

z = k let

x = 22

3

k, y = 32

3

k

and z = 42

3

k

x : y : z = 22

3

k : 32

3

k : 42

3

k

= 1 : 23 :

223

= 9 : 6 : 4

7. (2) P = S.I×100Rate × Time

= 6400 100

8 4

= Rs. 20000

C.I = P TimeRate1 1

100

= 20000221 1

100

= 20000 × 0.0404 = Rs. 8088. (1) If each instalment be Rs. x,

then.91000 =

1100

xr + 2

1100

xr

+ 3

1100

xr

91000 = x 2 35 5 5

6 6 6

91000 = x5 25 1256 36 216

91000 = x180 150 125

216

91000 = 455

216x

x = 91000 216

455

= Rs. 43200

9. (3) Let the rate of interest be R% perannum.

CI = PTR1 1

100

5596.8 = 220002R1 1

100

5596.822000 =

2R1 1100

2R1

100

= 1 + 5596.822000

2R1

100

= 22000 5596.8

22000

2R1

100

= 27596.822000

1 + R

100 = 1254410000

= 112100

R

100 =112100 - 1 =

112 110100

= 12

100 R = 12%

SI = Principal × Time × Rate

100

= 22000 2 12

100

= Rs. 5280

10. (2) Difference

Principal 2Rate

10000

32 = 50002

10000

r

r2 = 32 × 2 = 64

r = 64 = 8% per annum

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12

LEARN MATHS FROM S.K. RAJU (9811549822, 9811649822)

1. A sum of money becomes eight times in 3years, if the rate is compounded annually.In how much time the same amount at thesame compound interest rate will becomesixteen times ?(1) 6 years (2) 4 years(3) 8 years (4) 5 years(5) None of these

2. If the difference between the simple and thecompound interests on same principalamount at 20% for 3 years is Rs 48, thenthe principal amount must be(1) Rs 650 (2) Rs 600(3) Rs 375 (4) Rs 400(5) None of these

3. The difference between the simple interestand the compound interest compoundedannually at the rate of 12% per annum onRs 5000 for two years will be(1) Rs 17.50 (2) Rs 36(3) Rs 45 (4) Rs 72(5) None of these

4. Sanjay borrowed a certain sum from Anilat a certain rate of simple interest for 2 yr.He lent this sum to Ram at the same rateof interest compounded annually for thesame period. At the end of two years, hereceived Rs 4200 as compound interest butpaid Rs 4000 only as simple interest, findthe rate of interest.(1) 15% (2) 20%(3) 35% (4) 10%(5) None of these

5. Under the Rural Housing Scheme, the DelhiDevelopment Authority (DDA) allotted ahouse to Kamal Raj for Rs 126100. Thispayment is to be made in three equalannual instalments. If the money isreckoned at 5% per annum compoundinterest, then how much is to be paid byKamal Raj in each instalment ?(1) Rs 45205 (2) Rs 47405(3) Rs 46305 (4) Rs 48505(5) None of these

6. Ram takes a loan Rs 10000 and pays backRs 13310 after 3 years. The compoundinterest rate per annum wil l beapproximately.(1) 8% (2) 9%(3) 10% (4) 11%(5) None of these

7. The difference between the compoundinterest and the simple interest on a certain

MODEL EXERCISESsum of money for 2 years at 15% per annumis Rs 45. Find the sum.(1) Rs 7000 (2) Rs 2750(3) Rs 2000 (4) Rs 2250(5) None of these

8. Two friends A and B jointly lent out Rs81600 at 4% per annum compoundinterest. After 2 years, A gets the sameamount as B gets after 3 years. Theinvestment made by B was(1) Rs 40000 (2) Rs 30000(3) Rs 45000 (4) Rs 38000(5) None of these

9. A sum of money is accumulating atcompound interest at a certain rate ofinterest. If simple interest instead ofcompound were reckoned, the interest forthe first two years would be diminished byRs 20 and that for the first three years byRs 61. Find the sum.(1) Rs 7000 (2) Rs 8000(3) Rs 7500 (4) Rs 6500(5) None of these

10. Rs 5887 is divided between Shyam andRam, such that Shyam’s share at the endof 9 years is equal to Ram’s share at theend of 11 years, compound annually at therate of 5%. The share of Shyam is(1) Rs 2088 (2) Rs 2000(3) Rs 3087 (4) Rs 2200(5) None of these

11. Amit borrowed a certain sum of money for2 years at 8% per annum on simple interestand immediately lent it to Ravi but atcompound interest and gained by Rs 16.What amount did Amit borrow ?(1) Rs 1600 (2) Rs 2500(3) Rs 24000 (4) Rs 1800(5) None of these

12. A sum of Rs 30600 is divided between Anjaliand Arun, who are respectively 18 and 19years old, in such a way that if their sharesare invested at 4% per annum compoundedannually, they shall receive the sameamount on reaching 21 years of age. Whatis the share of Anjali ?(1) Rs 16000 (2) Rs 15000(3) Rs 15600 (4) Rs 14600(5) None of these

13. A man borrows Rs 4000 from a bank at172 % compound interest. At the end of

every year, he pays Rs 1500 as part

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13

LEARN MATHS FROM S.K. RAJU (9811549822, 9811649822)

repayment of loan and interest. How muchdoes he still owe to the bank after threesuch instalments ?(1) Rs 123.25 (2) Rs 125(3) Rs 400 (4) Rs 469.18(5) None of these

14. Sanju puts equal amounts of money oneat 10% per annum compound interestpayable half yearly and the second at acertain per cent per annum compoundinterest payable yearly. If he gets equalamounts after 3 years, what is the value ofthe second per cent ?

(1) 1014

% (2) 10%

(3) 912

% (4) 814

%

(5) None of these15. Ravi Shankar takes money from the

employees cooperative society at lower rateof interest and saves in a scheme, whichgives him a compound interest of 20%,compounded annually. Finally the leastnumber of complete years after which hissum will be more than double.

(1) 4 years (2) 2 years(3) 6 years (4) 8 years(5) None of these

16. Equal sums of money are deposited in twodifferent banks by M/s Enterprise, one atcompound interest, compounded annuallyand the other at simple interest, both at5% per annum. If after two years, thedifference in the amounts comes to Rs 200,what are the amounts deposited with eachbank ?(1) Rs 72000 (2) Rs 64000(3) Rs 80000 (4) Rs 8400(5) None of these

17. A sum of money lent at compound interestfor 2 years at 20% per annum would fetchRs 482 more if the interest was payable halfyearly than if it was payable annually. Thesum is(1) Rs 10,000 (2) Rs 20,000(3) Rs 40,000 (4) Rs 50,000(5) None of these

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14

LEARN MATHS FROM S.K. RAJU (9811549822, 9811649822)

SHORTANSWERS1. (2) 2. (3)3. (4) 4. (4)5. (3) 6. (3)7. (3) 8. (1)9. (2) 10. (3)11. (2) 12. (2)13. (1) 14. (1)15. (2) 16. (3)17. (2)

EXPLANATIONS1. (2) Let the sum of money be Rs x.

Then. 8x = x3

1100

r

8 = 3

1100

r

23 = 3

1100

r

3

1100

r= 23

1 +100r

= 2

Again, let the sum will become 16 times inn yearsThen,

16x = x 1100

nr

16 = 2n 24 = 2n

n = 4 years2. (3) Let principal amount be Rs 100.

Then, S.I. =100 20 3

100

= Rs 60

and C.I. = 1003201

100

- 100

= 100 ×36

5

-100 = 364

5

C.I. - S.I. = 364

5 - 60 = 645

If differences is Rs 645 , Principal

= Rs 100If difference is if 48,

Principal = 100 5

64

× 48 = Rs 375

3. (4) CI - SI for 2 years = P2

100r

= 5000212

100

= 5000 × 3 3

25 25 = Rs 72

4. (4) Let the money borrowed be Rs x andrate be r%.and Time = 2 yr

4000 = 2

100 x r

rx = 200000

and x2

1100

r= x + 4200

x + 2

10000xr

+ 2100

xr= 4200 + x

20r + 4000 = 4200 r = 10%

5. (3) Let the amount of each instalment beRs x.Then,

126100 = 1

100

xr

+ 2

1100

x

r

+ 3

1100

x

r

126100 = x2 320 20 20

21 21 21

126100 = x × 2021

20 400121 441

126100 = x × 2021

441 420 400441

126100 = x × 2021

× 1261441

x = 126100 21 441

20 1261

= Rs 46305

6. (3) Let the rate of compound interest be r.

Then, 10000 ×3

1100

r=13310

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15

LEARN MATHS FROM S.K. RAJU (9811549822, 9811649822)

3

1100

r=

13311000

3

1100

r=

31110

1 + 100r

= 1110

100r

= 1

10r = 10%

7. (3) CI - SI for 2 years = P2

100r

45 = P215

100

P = 45 100 100

15 15

= Rs 2000

8. Let the investment made byB = xThen, investment made byA = (81600 - x)

(81600 - x)241

100

= x341

100

81600 - x = 1.04x

x = 816002.04 = Rs. 40000

9. (2) Let the principal be P and rate of interestbe r% . Then, principal (when differencebetween C.I. and SI is for 2 years) is givenby

P = 2

2

20 100r

.......(i)

and difference between CI and SI is for 3years is given by

P = 6

261 10

300r r

.......(ii)

From eqs. (i) and (ii),

4

2

20 10r

= 6

2

61 10300

r r

r = 305 - 300 = 5%

From Eq. (i), P = 420 10

25

= Rs 8000

10. (3) Let Shyam’s share = x

Then, x 951

100

= (5887 - x)1151

100

5887 x

x = 1.1025

x = 5887 × 1.1025 - 1.1025x 2.1025x = 5887 × 1.1025 x = Rs 3087

11. (2) Let Amit borrow Rs x.According to the question,

CI - SI for 2 years = P2

100r

16 = x28

100

x = 16 10000

64

= Rs 2500

12. (2) Let the share of Anjali be x.Then, the share of Arun is(30600 - x).

x × 341

100

= (30600 - x) 241

100

x × 104100 = 30600 - x

204100 x = 30600

x = 30600 100

204

= Rs 15000

13. (1) Amount remaining after

1 year = 4000 7.51100

- 1500 = Rs 2800

2 years = 2800 7.51100

- 1500 = Rs 1510

3 years =1510 7.51100

- 1500 = Rs 123.25

14. (1) Let the value of second rate of interestbe x% and equal amounts be P each.

P ×651

100

= P ×3

1100

x

251

100

= 1100

x

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16

LEARN MATHS FROM S.K. RAJU (9811549822, 9811649822)

105 105100 100

=

100100

x

110.25 = 100 + x = 10.25%

x =10 25

100 = 1014

%

15. (2) Let the sum of money be P.

PT201 2P

100

T6

5 2

(1.2)T 2Hence, least value of T is 2 yr.

16. (3) Let P be the amount deposit in twodifferent banks.In 1st bank,

CI = P251

100

- P

= P221

20

- P

= 441P400 - P =

441P 400P400

= 41P400

In IInd bank, we get

SI = P R T

100

= P 5 2

100

= P

10

41P100 -

P100 = 200

P = Rs 8000017. (2) Let the sum be Rs. x.

x4101

100

- x2201

100

= 482

x411

10

- x26

5

= 482

x (1.4641 - 1.44) = 482 0.024lx = 482

x = 482

0.0241 = 20000

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