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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