www.gradeup.co

1

www.gradeup.co

2

1. Mohan earns 20% profit on a Jeans

after giving 15% discount. Find the ratio

of cost price of Jeans to MRP.

(A) 17 : 24

(B) 17 : 34

(C) 16 : 13

(D) 21 : 23

A. A

B. C

C. D

D. B

Ans. A

Sol.

Selling price will be same

A.T.Q.

2. In new government policy, price of

onion in increase by 35%. How much

percent consumption of onion should he

be reduced in order to expenditure same

as previous.

(A) 25%

(B) 29%

(C) 26%

(D) 33%

A. C

B. B

C. D

D. A

Ans. A

Sol. .

% reduction in consumption

3. Vikash buys 5 bananas in 4 rupees and

sells them 4 bananas in 5 rupees. Find his

profit percent.

(A) 55.56%

(B) 53.25%

(C) 45.50%

(D) 56.25%

A. B

B. C

C. A

D. D

Ans. D

Sol.

We will make the No. of bananas same in

both cases.

4. Naveen buy a gas cylinder and a stove

for 4500 Rs. He sold gas cylinder at 25%

profit and stove at 20% loss. He earn 4%

profit overall. Find the cost price of gas

cylinder.

(A) Rs. 2600

(B) Rs. 2400

(C) Rs. 3000

(D) Rs. 2000

A. D

B. A

C. B

D. C

Ans. C

Sol.

Let the price of gas cylinder be =x

And the price of stove =y

A.T.Q.

From eqn. , we get –

Required x = 2400.

5. Mayank sells a pen for 750 Rs. and

earns 50% profit. At which rate should he

sell the pen in order to get 50% loss.

(A) 275 Rs.

(B) 250 Rs.

(C) 350 Rs.

(D) 225 Rs.

A. (D)

www.gradeup.co

3

B. (C)

C. (B)

D. (A)

Ans. C

Sol.

S.P. of a pen = Rs. 750

P% = 50%

S.P. = (100 + P %) / 100 × C.P

750 = 150/100 × C.P.

(750 × 100) / 150 = C.P.

500 = C.P.

Loss% = 50%

S.P. = (100 - 50) / 100 × C.P

S.P. = 50/100 × 500

S.P. = Rs.250

Hence, option C is correct.

6. A dishonest shopkeeper sells his goods

at Rs. 100 instead of Rs. 85 and he claims

to sell on cost price what is his percent

profit.

(A) 17.64%

(B) 16.39%

(C) 13.65%

(D) 15.64%

A. (B)

B. (A)

C. (D)

D. (C)

Ans. B

Sol.

Selling price = Rs. 100

Cost price = Rs. 85

Profit = 100 - 85 = 15

P% = 15 / 85 × 100

= 17.64 %

Option B is correct answer.

7. Anusha buy a sandle for of its

selling price and sell it more than 10% of

its selling price. Find percentage profit.

(A) 55.54%

(B) 57.14%

(C) 53.14%

(D) 52.24%

A. (D)

B. (B)

C. (A)

D. (C)

Ans. B

Sol.

Let the SP of a sandle is Rs.100.

So, the CP is - (7/10) × 100 = Rs.70

As it is given new SP is 10% more than

the previous one.

Therefore, new SP = Rs.110

Profit % = profit/ CP × 100

= (110 - 70) / 70 × 100

= 40/70 × 100

= 57.14 %

Option B is correct response.

8. Aparna marks the price of a object

50% more than its cost price. At what

percent discount it should be sold that

she got 10% profit?

(A) 27%

(B) 25%

(C) 35%

(D) 37%

A. (C)

B. (B)

C. (D)

D. (A)

Ans. D

Sol. Let C.P.= Rs.100

Then, M.P. = Rs.150

To earn 10% profit, S.P. = Rs.110

Discount% = (150 - 110)(100/150) =

26.667% ≈ 27%

9. A retailer buys seven hair clips for 1

rupee. How many clips should he sell for

1 rupee in order to get 40% profit ?

(A) 6

(B) 5

(C) 4

(D) 3

A. (D)

B. (C)

C. (B)

D. (A)

Ans. C

Sol.

10. Ritesh sells a pen for 36 at 20%

profit. If he sells it for 33 then find the

percentage profit/loss.

(A) 10% profit

(B) 15% profit

(C) 12% loss

(D) 18% loss

A. (B)

B. (C)

C. (D)

D. (A)

www.gradeup.co

4

Ans. D

Sol.

11. Deepak promises to sell items at his

shop at cost price but cheats while

weighing and gives 20% less. Find his

profit percentage.

(A) 30%

(B) 33%

(C) 25%

(D) 20%

A. (B)

B. (D)

C. (C)

D. (A)

Ans. C

Sol.

Let CP = 100x = SP

But he cheats then CP for Deepak = 80 x

Profit = 20x

12. When babloo decreases the price of

shoes from 360 to 345 Rs. then it is 4%

more less. Then find cost price of shoes.

(A) 275 Rs.

(B) 375 Rs.

(C) 425 Rs.

(D) 450 Rs.

A. (A)

B. (C)

C. (B)

D. (D)

Ans. C

Sol.

4% of CP

100% of CP .

13. Ram Naresh bought a bags whose

MRP is 400 Rs. He bought it for 160 Rs.

after two consecutive discount. If second

is 20% then find the first discount.

(A) 40%

(B) 30%

(C) 50%

(D) 80%

A. (D)

B. (A)

C. (C)

D. (B)

Ans. C

Sol.

Let the first discount be d%.

A.T.Q.

14. The decrease is 60% in Neeraj’s

income. After that Neerajs income

increase 60%. Then find final loss in his

income.

(A) 12%

(B) 36%

(C) 4%

(D) 5%

A. (D)

B. (A)

C. (C)

D. (B)

Ans. D

Sol.

Let the initial income be = 100x

When decrease

After increase

Required –

15. A man purchases a car for ` 100000,

spends ` 20000, for repairing and

insurance, then he sold car for ` 80000.

Find his percent profit/loss.

(A) 50% profit

(B) 50% loss

(C) 33.33% profit

(D) 33.33% loss

A. (D)

B. (A)

C. (B)

D. (C)

Ans. A

Sol.

Cost price of car = ₹ 100000

Cost for repairing and insurance= ₹

20000

www.gradeup.co

5

Total cost price of a car = 100000 +

20000= ₹ 120000

Selling price of car = ₹ 80000

Loss= 120000-80000= ₹ 40000

Loss % =

16. If selling price is ` 100 and profit

percent is 25%, then find cost price.

(A) ` 80

(B) ` 75

(C) ` 125

(D) ` 70

A. (D)

B. (A)

C. (B)

D. (C)

Ans. B

Sol.

Selling price = ₹ 100

Profit = 25%

Cost price =

17. Mukesh purchased a bike for ` 20000

on marked price on increasing discount of

10% and 15% respectively. ` 700 are

spent on insurance and repairing. Then

he sold it for ` 20000. Find % profit.

(A) No profit

(B) 25%

(C) 30%

(D) 35%

A. (A)

B. (C)

C. (D)

D. (B)

Ans. D

Sol.

Marked price of bike = ₹ 20000

Cost price after two discount of 10% and

15% =

Cost of repairing and insurance= ₹ 700

Total cost price of bike = 15300+700= ₹

16000

Selling price of bike = ₹ 20000

Profit = 20000 – 16000 = ₹4000

Profit % =

18. The cash difference between the

selling prices of an article at a profit of

2% and 18% is Rs. 3. The ratio between

two selling prices is

(A) 51 : 59

(B) 51 : 53

(C) 51 : 60

(D) 55 : 59

A. (D)

B. (A)

C. (C)

D. (B)

Ans. B

Sol.

Let the two selling prices of the article

sold at 2% and 18% profit be SP1 and

SP2.

SP1 = 100% of CP + 2% of CP = 102%

of CP

SP2 = 100% of CP + 18% of CP = 1185

of CP

The ratio between two selling prices is

SP1 : SP2 :: 102%:118%

SP1 : SP2 :: 51:59

19. Mr. Mahesh sold a bus for Rs. 22,100

at a loss of 15%. At what price should the

bus be sold to get a profit of 15%?

(A) Rs. 29,700

(B) Rs. 30,000

(C) Rs. 29,800

(D) Rs. 29,900

A. (A)

B. (B)

C. (D)

D. (C)

Ans. C

Sol.

Let the Cost price of the article be CP

Selling price at 15% loss = (100 – 15 )%

of CP = 85% of CP

Selling price at 15 % profit = (100 +

15)% of CP = 115% of CP

Dividing both ,

SP at 15% profit = 22100 x 115/85 = Rs.

29,900

20. A shopkeeper cheats to the extent of

11% while buying and selling fruits, by

using tampered weights. His total gain in

percentage is:

(A) 23.25

(B) 23.21

www.gradeup.co

6

(C) 23.75

(D) 23.5

A. (A)

B. (B)

C. (C)

D. (D)

Ans. B

Sol.

Shopkeeper cheats to the extent = 11%

So, the total gain percentage

=11+11+ =23.21%

21. A shopkeeper cheats to the extent of

23% while buying and selling fruits, by

using tampered weights. His total gain in

percentage is _______.

(A) 51.25

(B) 51.29

(C) 51.75

(D) 51.5

A. (D)

B. (C)

C. (B)

D. (A)

Ans. C

Sol.

A shopkeeper cheats to the extent of 23%

while buying and selling fruits

So, net gain % = 23 + 23 + 23x23/100

= 51.29 %

22. The cash difference between the

selling price of an article at a profit of 8%

and 14% is Rs. 3. The ratio of two selling

prices is :

(A) 18 : 19

(B) 17 : 19

(C) 19 : 21

(D) 18 : 21

A. (C)

B. (A)

C. (D)

D. (B)

Ans. B

Sol.

Let the cost price = 100 units

At 8% profit, selling price (SP1)= 108

units

At 14% profit selling price(SP2) =114

units

Ratio of SP1 and SP2 = 108 : 114

= 18 : 19

23. An article was sold for Rs. 26,000 ata

discount of 35%. Find the selling price if

the discount was 15%.

(A) Rs. 36,000

(B) Rs. 40,000

(C) Rs. 38,000

(D) Rs. 34,000

A. (A)

B. (D)

C. (C)

D. (B)

Ans. B

Sol.

According to the question,

Selling price at 35% discount = (100 – 35

)% of MRP

New selling price at 15% discount = (100

- 15)% of MRP

On dividing both

New selling price = Rs. 34000

24. A trader bought a bag of 40 kg of

basmati rice at Rs. 125 per kg and

another bag of 60 kg at Rs. 150 per kg.

He sold the entire stock at a profit of

20%. Find the selling price per kg.

(A) Rs. 152

(B) Rs. 158

(C) Rs. 168

(D) Rs. 172

A. (A)

B. (C)

C. (B)

D. (D)

Ans. B

Sol.

Cost price of 1 kg of basmati rice= Rs.

125

Cost price of 40 kg of basmati rice= Rs.

125 x 40 = Rs. 5000

Cost price of 60 kg of another bag = Rs.

60 x 150 = Rs. 9000

Total cost price of 100 kg = Rs. 5000 +

Rs. 9000 = Rs. 14000

Profit = 20%

Selling price of 100 kg of rice = 120 % of

CP = 14000 x 120/100 = Rs. 16800

Selling price per Kg = 16800/100 = Rs.

168

www.gradeup.co

7

25. An article was sold for Rs. 3,600 at a

discount of 10%. Find the selling price if

the discount was 15%.

(A) Rs. 3,600

(B) Rs. 4,000

(C) Rs. 3,800

(D) Rs. 3,400

A. (C)

B. (A)

C. (B)

D. (D)

Ans. D

Sol.

SP = rs. 3600

Discount = 10 %

SP = (100 - 10)% of MRP = (100 - 10)%

of MRP

MRP = 3600 x 100/90 = Rs. 4000

New selling price at 15% discount =

(100-15)% of 4000 = 4000 x 85/100 =

Rs. 3400

26. Loss at 15% on a dress is Rs. 225,

what is the cost price?

(A) Rs. 1725

(B) Rs. 1500

(C) Rs. 1275

(D) Rs. 1875

A. (D)

B. (A)

C. (B)

D. (C)

Ans. C

Sol.

Let the cost price of dress =x Rs.

Loss at 15% on dress is= 225 Rs.

So

x=1500Rs.

Therefore cost price of dress will be 1500

Rs.

27. P purchase an item Rs 1600 and sells

it at a profit of 10%. If he sells it as Rs

1840 then calculate his increased profit

percentage

(A) 5%

(B) 10%

(C) 12%

(D) 15%

A. (D)

B. (C)

C. (A)

D. (B)

Ans. C

Sol.

CP = 1600

If SP is 1840

New profit % = (1840 – 1600 )/1600 x

100 = 240/1600x100 = 15 %

His increased profit percentage = 15 – 10

= 5%

28. A shopkeeper marks 320 Rs on an if

item and offers 10% discount. He still

earns 20% profit after providing discount.

Find the cost price of the item.

(A) 240 Rs

(B) 280 Rs

(C) 300 Rs

(D) 264 Rs

A. (D)

B. (A)

C. (C)

D. (B)

Ans. B

Sol.

Market price = 320 Rs.

Discount= 10%

Selling price = 320 x 90/100 = 288 Rs.

Profit is given = 20%

So , C.P. = [100/ (100 + Gain%) ] x S.P

CP = (100/120 )x 288 = 240 Rs.

29. A table is sold at a profit of 10%. If

its cost price is reduced by 5% then it will

fetch 7 Rs. more and profit will be 20%.

Find the cost price of table.

(A) Rs 175

(B) Rs 200

(C) Rs 250

(D) Rs 150

A. (D)

B. (B)

C. (A)

D. (C)

Ans. C

Sol.

Let cost price (CP)1=100 units

AT 10% profit, selling price(SP)1=110

units

Cost price is reduced by 5%,So new cost

price (CP)2=95

At 20% profit, new selling price( SP)2=95

x 120/100=114 units

www.gradeup.co

8

According to question, 114 units-110

units=RS.7

4 units=Rs. 7

1 unit= Rs. 7/4

So, 100 units=100 x 7/4=175 Rs.

30. Cost price of a cloth is Rs 35. If length

of the cloth is 14 m and cost permetre is

1 Rs. less then the cost price remained

same. Find the length of the cloth.

(A) 10 m

(B) 14 m

(C) 12 m

(D) 8 m

A. (C)

B. (A)

C. (D)

D. (B)

Ans. B

Sol.

Let the price of cloth per meter is x .

Price per meter X length = cost price

(x-1) X 14 = 35

X= 3.5 Rs

Again from the above formula

3.5 X length = 35

Length = 10 meter

31. Cost Price of 90 tables are equal to

the selling price of 60 tables. Find the

profit percentage.

(A) 33.33%

(B) 40%

(C) 50%

(D) 60%

A. (D)

B. (C)

C. (B)

D. (A)

Ans. B

Sol.

90 x CP = 60 x SP

SP/CP = 3/2

Profit % = (3-2)/2 x 100 = 50%

32. A shopkeeper Marks the price of Rs

160 on item. After giving 10% discount

he earns a profit of 20% then find the cost

price of the item.

(A) Rs 140

(B) Rs 120

(C) Rs 150

(D) Rs 132

A. (C)

B. (B)

C. (A)

D. (D)

Ans. B

Sol.

Marked price = Rs. 160

Selling price after giving 10% discount =

160 x 90/100 = Rs. 144

Since, Profit = 20%

CP = 100/120 x SP = 5/6 x 144 = Rs. 120

33. P Purchase an item for 1200 and sold

it on a profit of 10%. If he sells it at 1380

the calculate his increase in profit

percentage.

(A) 5%

(B) 10%

(C) 12%

(D) 15%

A. (C)

B. (D)

C. (A)

D. (B)

Ans. C

Sol.

Cost price of article = Rs. 1200

New Selling price = Rs. 1380

New profit percentage = 180/1200 × 100

= 15%

Increase in profit percentage = 15 -10 =

5%

34. A trader marks his goods at 25%

above cost price and allows a discount of

8%. What is his profit percent?

(A) 10%

(B) 15%

(C) 12%

(D) 25%

A. (C)

B. (B)

C. (D)

D. (A)

Ans. B

Sol.

Let the cost price of the goods = 100

Marked price = 100 + 25 = 125

Discounted price = (100-8)/100 * 125 =

115

Profit percnt = ( 115 – 100 )/100 = 15%

SHORT TRICK:

SP = 125/100 * 92/100 * 100 = 115% of

CP

www.gradeup.co

9

Profit percent = 15%

35. A towel is sold at a profit of 12%. If

the price had increased by Rs. 25 the

profit would have been 32%. Find the

cost price of the towel.

(A) Rs. 140

(B) Rs. 175

(C) Rs. 160

(D) Rs. 125

A. (C)

B. (A)

C. (D)

D. (B)

Ans. C

Sol.

Towel sold at profit of 12% & if price

increased by Rs. 25 the profit

become32%

Therefore,

Increase in Profit = 20% of Cp = increase

in price = Rs. 25

20% of CP= Rs. 25

100% of CP= Rs. 125

36. 144 pencils were purchased at the

rate of Rs. 22.50 per dozen. If they were

sold at Rs. 2.25 per pencil, what is the

profit percentage?

(A) 12%

(B) 17.5%

(C) 20%

(D) 25%

A. (C)

B. (A)

C. (D)

D. (B)

Ans. A

Sol.

CP of 12 pencils (One dozen pencils) =

22.50 Rs.

CP of 144 pencils (12 dozen pencils) =

12*22.50 = 270 Rs.

SP of 1 pencil = 2.25 Rs

SP of 144 pencils = 2.25 * 144 = 324 Rs

Profit = 324 – 270 =54 Rs.

Profit % = 54/270 *100 =20%

37. What is the cost of three fourths of a

kilogram of vegetable, if the cost of two

and a half kilogram of vegetable is Rs.

120?

(A) Rs. 48

(B) Rs. 36

(C) Rs. 60

(D) Rs. 64

A. (D)

B. (C)

C. (A)

D. (B)

Ans. D

Sol.

The cost of 2.5kg of vegetable = Rs. 120

The cost of 1 Kg of vegetable is = 120/2.5

= Rs. 48

The cost of 3/4 Kg of vegetable = 3/4 *

48 = Rs. 36

38. An article was sold for Rs. 2,400 at a

loss of 20%. To get a profit of 20% what

should be the selling?

(A) Rs. 3,300

(B) Rs. 3,600

(C) Rs. 3,500

(D) Rs. 3,400

A. (C)

B. (B)

C. (D)

D. (A)

Ans. B

Sol.

80% of CP =Rs. 2400

CP = 2400 *100/80 = Rs. 3000

The required selling price to gain 20%

profit = 120% of CP = (120/100)*3000 =

Rs. 3600

39. If a person has sold an article for Rs.

1250 and got a profit of 25%, find the

cost price of the article.

(A) Rs. 1,050

(B) Rs. 1,100

(C) Rs. 1,000

(D) Rs. 1,150

A. (D)

B. (C)

C. (A)

D. (B)

Ans. B

Sol.

Selling price= Rs. 1250

Profit % = 25%

Selling price = 125% of cost price

1250 = 125/100 *CP

CP = Rs. 1000

www.gradeup.co

10

40. Three boxes containing 25 packs of

10 pens each was sold for Rs. 8,625. If

the profit was 15%, find the cost price.

(A) Rs. 7,00

(B) Rs. 7,500

(C) Rs. 7,600

(D) Rs. 7,700

A. (C)

B. (A)

C. (D)

D. (B)

Ans. D

Sol.

115% of Cost price= Rs. 8625

Cost price= 8625/115 *100 = Rs. 7500

41. Three jeans lowers are sold for Rs.

1000. One of them is free according to

discount offer. Then what will be the total

percentage of discount?

(A) 30%

(B) 33%

(C) 33.13%

(D) 33.33%

A. (B)

B. (C)

C. (D)

D. (A)

Ans. C

Sol.

Since one of the jeans is free the above

selling price is of only two jeans

Price of two jeans = Rs. 1000

Price of one jeans = Rs. 500

Price of 3 jeans = Rs. 1500

Discount given on sale = Rs. 500

Discount % = 500/1500 * 100 = 33.33%

42. The cost price of 55 article is equal to

the selling price of x articles. It gain % is

10 % then find the value of x.

(A) 45

(B) 50

(C) 55

(D) 60

A. (A)

B. (D)

C. (B)

D. (C)

Ans. C

Sol.

Cost price of 55 article = selling price of

x article

55 CP = x SP

We know that,

Selling price = 100% of cost price +

Profit(i.e. 10% of cost price)

SP = 110% of CP

SP/CP = 110/100 = 55/50

50 SP = 55 CP

Therefore x = 50

43. A retailer purchased 2 dozen mango

and he sold 1 ½ dozen mango on the cost

price of 2 two dozen mango. Then find the

gain percent of retailer.

(A) 25%

(B) 30%

(C) 33.33%

(D) 30.30%

A. (C)

B. (D)

C. (A)

D. (B)

Ans. A

Sol.

Selling price of 3/2 dozen mangoes = cost

price of 2 dozen mangoes

3/2 SP = 2 CP

SP/CP = 4/3

Profit % = 1/3 * 100 = 33.33 %

44. A shopkeeper sold two chairs for 462

each . On one he gains 12% and incurs of

loss of 20% on another. Which is the right

option-

(A) He gains 110

(B) He gains 13.50

(C) Neither gain nor loss

(D) He losses 66

A. (B)

B. (D)

C. (C)

D. (A)

Ans. B

Sol. Total C.P = 462/ 1.12 + 462/ 0.8

= 412.5 + 577.5 = 990

Toal S.P = 924

Loss = 66

45. A gains 20% by selling a cycle for

3480. Find the cost price.

(A) 2784 (B) 2900

(C) 2874 (D) 3122

A. (D)

B. (C)

www.gradeup.co

11

C. (B)

D. (A)

Ans. C

Sol. 120% of A = 3480

A = 2900

46. A shopkeeper fixes the price of an

article at 25% higher than its actual cost

and he allows 25% discount on marked

price, then total profit or loss is-

(A) 25 % profit (B) 6.25% loss

(C) 20% profit (D) 16.67 profit

A. (A)

B. (B)

C. (C)

D. (D)

Ans. B

Sol. Let C.P = 100

the, M.P = (125/100)x 100 = 125

Now he allows 25% discount on M.P

(25/100)/ 125 = 31.25

So, Selling price = 125 - 31.25 = 93.75

therefore, loss % = (6.25/100)x 100 =

6.25 %

47. You went to buy 3 articles worth 500

each. However. As per the discount sale

going on in the shop, you paid for two and

get one free. What is the discount

percentage in the deal?

(A) 30 %

(B) 33 %

(C) 33.13 %

(D) 33.33 %

A. (A)

B. (C)

C. (B)

D. (D)

Ans. D

Sol.

Price of three articles = 3x500 = 1500

Price actually paid = 2x500 = 1000

therefore discount = 500

% discount = 500x100/1500 = 33.33%

48. Read the information carefully and

select the correct option-

Offer A : Buy one item for 1599 and get

one free

Offer B : Buy one item for 999 and get

another at 50 % discount

(A) A is cheaper and B is costlier

(B) A is costlier and B is cheaper

(C) Cost is same in both cases

(D) A and B are not comparable

A. (B)

B. (A)

C. (D)

D. (C)

Ans. A

Sol.

Total price paid by A = 1599

Total price paid by B = 999 + 999/2 =

1498.5

49. A shopkeeper purchased 10 boxes of

pencils containing 10 pencils each at 100

per box and sold each pencil at a profit

12%. What is the total sale price?

(A) 1100

(B) 1120

(C) 1200

(D) 1210

A. (B)

B. (C)

C. (D)

D. (A)

Ans. A

Sol.

Each box will be sold at = 112 x 100 /100

= 112

and 10 boxes will be sold at 1120.

50. The cost of one dozen bananas is 5.

The cost of one dozen oranges is 75.

What will the cost of one and a quarter

dozen bananas and three fourth dozen

oranges?

(A) 112.5

(B) 131.25

(C) 62.5

(D) 93.75

A. (A)

B. (C)

C. (D)

D. (B)

Ans. B

Sol.

Price of 1 banana = 5/12

Price of 1 orange = 75/12

Price of one qaurter dozen bananas = 15

x 5/12 = 25/4

Price of three fourth dozen oragens = 9 x

75/12 = 225/4

225/4 + 25/4 = 62.5

www.gradeup.co

12

51. Q purchased a table for 13500 and

sold it 11000. What is his loss

percentage?

(A) 19.81%

(B) 20.62%

(C) 21.78%

(D) 18.52%

A. (D)

B. (B)

C. (C)

D. (A)

Ans. A

Sol.

Loss = 13500 - 11000

= 2500

loss % age = (2500/ 13500)* 100

= 18.52%

52. A man buys 144 oranges for Rs.360.

He sells them at the gain of 10%. At what

rate per dozen should he sell them?

(A) Rs.25

(B) Rs.30

(C) Rs.33

(D) Rs.36

A. (D)

B. (B)

C. (A)

D. (C)

Ans. D

Sol.

CP of 144 oranges is =360

Cp of 1 dozen oranges is =

For 10% gain – SP =

53. Anil bought 100 eggs at Rs.6 per egg.

He sold 25 eggs at 10% profit, another 25

eggs at 25% loss and the remaining 50

eggs at 20% profit. What is the overall

profit or loss of Anil?

(A) 6.25% Loss

(B) 6.25% Profit

(C) 8% Profit

(D) 12% Loss

A. (A)

B. (B)

C. (C)

D. (D)

Ans. B

Sol.

C.P. of 100 eggs = Rs.600

S.P. of 100 Eggs =

Profit = 637.5 - 600 = Rs.37.5

Required % =

54. A man sells a table at Rs.4200 and

incurs a loss of 25%. At what price should

he sell the same table to earn a profit of

25%

(A) Rs.7000

(B) Rs.7200

(C) Rs.6800

(D) Rs.6900

A. (D)

B. (B)

C. (A)

D. (C)

Ans. C

Sol.

SP of a table = 4200 Rs.

Cp of a table =x

Given,

New SP to earn a profit of 25%

= 7000Rs.

55. K purchased a table for Rs. 11,000

and sold it for Rs. 13,500. What is his gain

in percentage?

(A) 19.8%

(B) 20.6%

(C) 22.7%

(D) 22%

A. (D)

B. (C)

C. (B)

D. (A)

Ans. B

Sol.

Gain % = (13500-11000)/11000 × 100

= 250000/11000 % = 250/11% =

22.7%

56. A farmer purchased a piece of land of

Rs. 18 lakh and spent Rs. 3 lakh for

www.gradeup.co

13

registration, fencing etc. He sold it for Rs.

24.57 lakh. Find his profit in percentage?

(A) 15%

(B) 14.15%

(C) 16.5%

(D) 17%

A. (A)

B. (D)

C. (B)

D. (C)

Ans. B

Sol.

Net CP = 18+3 = 21lacs

SP = 24.57 lacs

Gain = SP-CP = 3.57 lacs

Profit % = 3.57/21 x 100 = 17%

57. A Shopkeeper offers a successive

discount of 20% and 10% and receives

Rs.108 for his product. Find out it’s real

cost?

(A) Rs.142

(B) Rs.147

(C) Rs.150

(D) Rs.153

A. (C)

B. (B)

C. (A)

D. (D)

Ans. A

Sol. Successive discounts of 20% and

10%.

Let the Marked Price is Rs. P

then,

if two successive discounts are given

than,

the selling price = P ×(100-20)% × (100-

10)%

108 = P × 80/100 × 90/100

P = 150 Rs.

58. 5 kg sugar whose cost price is Rs.75

and 10 kg another type of sugar whose

cost price is Rs.180 are mixed and sold in

Rs.300. Find out percentage of profit?

(A) 18%

(B) 17.65%

(C) 17.5%

(D) 19%

A. (C)

B. (B)

C. (D)

D. (A)

Ans. B

Sol. Total CP of 15 kg sugar = 75+180 =

255

Total SP of 15 kg sugar = 300

Profit = 300 - 255 = 45

%profit = 45/255×100 = 17.65%

59. If a man loses 10% by selling an

object in Rs.3735 than to gain 10% of

profit he should sell the object in-

(A) Rs.4150

(B) Rs.4565

(C) Rs.4108.50

(D) Rs.4518.50

A. (A)

B. (C)

C. (D)

D. (B)

Ans. D

Sol. Let x be the CP

Since he loses 10%

SP = x - 10% of x

= 0.9x = 3735

or x = 3735/0.9

After 10% gain

SP = 1.1x = 1.1×2735/0.9 = 11×3735/9

= 4565

60. The cost in manufacturing of a

machine is divided among material,

labour and extra expenditure and the

ratio was 5:3:1. If extra expenditure was

Rs.149,500, what was the price of

machinery?

(A) Rs.7,47,500

(B) Rs.13,45,500

(C) Rs.13,78,800

(D) Rs.14,22,200

A. (B)

B. (A)

C. (C)

D. (D)

Ans. A

Sol. Let the total cost be C

Cost on extra expenditure =

1/(5+3+1)×C = C/9 = 149500

C = 9×149500

Price of machinery = C = Rs.13,45,500

61. Cost of a residential flat increases by

15% every year if the present cost is

Rs.60,00,000, then find its cost after 2

years.

(A) Rs.78,00,000

www.gradeup.co

14

(B) Rs.83,45,000

(C) Rs.85,39,500

(D) Rs.79,35,000

A. (D)

B. (A)

C. (B)

D. (C)

Ans. A

Sol. Cost after 2 years = 6000000(1 +

15/100)(1 + 15/100)

= 6000000×1.15×1.15 = 7935000

62. A man sold a article for 1300, gains

30%. Then what is cost price of article

(A) 1000

(B) 1200

(C) 1250

(D) 1100

A. (C)

B. (D)

C. (B)

D. (A)

Ans. D

Sol. let CP be x

SP = 1.3x = 1300

x=1000

63. 10 dozen apples, 15 dozen mangoes,

20 dozen oranges are for selling. If in

each of them 1/2, 1/3 and 1/4 part

respectively is sold. Then what is the

number of remaining fruits?

(A) 420 (B) 280

(C) 180 (D) 360

A. (A)

B. (D)

C. (B)

D. (C)

Ans. B

Sol. 1/2 of 10 dozen = 5 dozen

1/3 of 15 dozen = 5 dozen

1/4 of 20 dozen = 5 dozen

Remaining fruits = (10-5)+(15-5)+(20-

5) = 5+10+15 = 30 dozen

= 30×12 = 360 fruits

64. Pushpa purchased 2 dozen pens for

480 and sold them as a packet of 4 pens

for 100 per packet. Find percent profit.

(A) 20% (B) 16%

(C) 18% (D) 25%

A. (B)

B. (A)

C. (D)

D. (C)

Ans. C

Sol. CP of each pen = 480/24 = 20

SP of each pen = 100/4 = 25

Profit = 25-20 = 5

Profit % = 5/20×100 = 25%

65. If the price of 2 ½ kg vegetable is

120. Then what will be the price of ½ kg

vegetable

(A) 60

(B) 36

(C) 24

(D) 48

A. (A)

B. (D)

C. (B)

D. (C)

Ans. D

Sol. Price of 2.5 kg = 120

Price of 1 kg = 120/2.5 = 48

Price of 0.5 kg = 24

66. Mr. Ravi sold a bus for Rs. 2380 with

a loss of 15%. At what price should the

bus be sold to get a profit of 15%?

(A) Rs. 3210

(B) Rs. 3230

(C) Rs. 3260

(D) Rs. 3220

A. (C)

B. (B)

C. (A)

D. (D)

Ans. D

Sol.

Selling price of bus =Rs.2380

At 15% loss, cost

price=2380x100/85=Rs.2800

At 15% profit, selling price of bus

=2800x115/100=Rs.3220

67. An article was sold for Rs. 2,400 at a

discount of 20%. Find the selling price, if

the discount was 25%.

A. Rs. 2,250

B. Rs. 2,000

C. Rs. 1,800

D. Rs. 2,150

Ans. A

Sol. M.P – M.P S.P

www.gradeup.co

15

M.P

M.P = 3000

S.P if discount % is 25% = M.P

3000 2250

68. A product was sold for Rs. 4,500 at a

profit of 12.5%. What was the amount of

profit?

A. Rs. 125

B. Rs. 250

C. Rs. 500

D. Rs. 300

Ans. C

Sol. We know that,

C.P

C.P = 4500 4000rs

Profit =S.P-C.P

4500-4000=500.

69. The cost of one dozen bananas is

Rs.50. The cost of one dozen oranges is

Rs.75. What will the cost of one and a

quarter dozen bananas and three-fourth

dozen oranges?

A. Rs. 112.50

B. Rs. 131.25

C. Rs. 118.75

D. Rs. 93.75

Ans. C

Sol. The cost of one and a quarter dozen

bananas = 50 * (1 + 1/4) = Rs. 62.50

The cost of 3/4 dozen oranges = 75 × 3/4

= 225/4 = Rs. 56.25

Total cost = 56.25 + 62.50 = Rs. 118.75

70. A shop keeper purchased 10 boxes of

pencils containing 10 pencils each at Rs.

100 per box and sold each pencil at a

profit 12%. What is the total sale price?

A. Rs. 1,100

B. Rs. 1,120

C. Rs. 1,200

D. Rs. 1,210

Ans. B

Sol. Total C.P of 10 boxes = 100 x 10 =

Rs. 1000

Total S.P of 10 boxes = 1000

= Rs. 1120

www.gradeup.co

16