GMAT QUANTITATIVE REASONING

WORD PROBLEMS

RATIO PROPORTION

PROBLEM SOLVING

Diagnostic Test

Question

The ratio of apples to oranges in a shop is 10 : 7. If the shopreceives 50 more apples and 25 more oranges, the ratio ofapples to oranges will be 3 : 2. How many more apples doesthe shop have now?A. 25

B. 75

C. 300

D. 175

E. 250

Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2

How many more apples does the shop have now?

· Ratio of apples : oranges :: 10 : 7

Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2

How many more apples does the shop have now?

· Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges.

Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2

How many more apples does the shop have now?

· Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges.

· Shop adds 50 more apples and 25

more oranges.

Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2

How many more apples does the shop have now?

· Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges.

· Shop adds 50 more apples and 25

more oranges.After addition, 10x + 50 apples and 7x + 25

oranges.

Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2

How many more apples does the shop have now?

· Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges.

· Shop adds 50 more apples and 25

more oranges.After addition, 10x + 50 apples and 7x + 25

oranges.

· Ratio after addition - apples : oranges :: 3 : 2

Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2

How many more apples does the shop have now?

· Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges.

· Shop adds 50 more apples and 25

more oranges.After addition, 10x + 50 apples and 7x + 25

oranges.

· Ratio after addition - apples : oranges :: 3 : 2 10x + 50 : 7x + 25 :: 3 : 2

Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2

How many more apples does the shop have now?

· Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges.

· Shop adds 50 more apples and 25

more oranges.After addition, 10x + 50 apples and 7x + 25

oranges.

· Ratio after addition - apples : oranges :: 3 : 2 10x + 50 : 7x + 25 :: 3 : 2

Solve for x: 10x + 507x + 25

=32

Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2

How many more apples does the shop have now?

· Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges.

· Shop adds 50 more apples and 25

more oranges.After addition, 10x + 50 apples and 7x + 25

oranges.

· Ratio after addition - apples : oranges :: 3 : 2 10x + 50 : 7x + 25 :: 3 : 2

Solve for x: 10x + 507x + 25

=32

2(10x + 50) = 3(7x + 25)

Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2

How many more apples does the shop have now?

· Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges.

· Shop adds 50 more apples and 25

more oranges.After addition, 10x + 50 apples and 7x + 25

oranges.

· Ratio after addition - apples : oranges :: 3 : 2 10x + 50 : 7x + 25 :: 3 : 2

Solve for x: 10x + 507x + 25

=32

2(10x + 50) = 3(7x + 25) 20x + 100 = 21x + 75 or x = 25

Take a few seconds

To verify whether you have answered the

right question

How many more apples does the shop have now?Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2

Finding x is only an intermediate step. We need to find “how may more apples”.

How many more apples does the shop have now?Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2

· The shop has 10 x apples and 7x oranges.

Finding x is only an intermediate step. We need to find “how may more apples”.

How many more apples does the shop have now?Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2

· The shop has 10 x apples and 7x oranges.

Finding x is only an intermediate step. We need to find “how may more apples”.

the shop has 10x – 7x = 3x more apples.

How many more apples does the shop have now?Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2

· The shop has 10 x apples and 7x oranges.

Finding x is only an intermediate step. We need to find “how may more apples”.

the shop has 10x – 7x = 3x more apples.

· We have computed x to be 25

How many more apples does the shop have now?Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2

· The shop has 10 x apples and 7x oranges.

Finding x is only an intermediate step. We need to find “how may more apples”.

the shop has 10x – 7x = 3x more apples.

· We have computed x to be 25 Hence, the shop has 3 * 25 = 75 more apples.

How many more apples does the shop have now?Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2

75 more apples

· The shop has 10 x apples and 7x oranges.

Finding x is only an intermediate step. We need to find “how may more apples”.

the shop has 10x – 7x = 3x more apples.

· We have computed x to be 25 Hence, the shop has 3 * 25 = 75 more apples.

How many more apples does the shop have now?Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2

Correct Answer : Choice B

75 more apples

· The shop has 10 x apples and 7x oranges.

Finding x is only an intermediate step. We need to find “how may more apples”.

the shop has 10x – 7x = 3x more apples.

· We have computed x to be 25 Hence, the shop has 3 * 25 = 75 more apples.

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