The document presents a GMAT quantitative reasoning problem involving a ratio of apples to oranges that changes after receiving additional quantities of each fruit. Initially, the ratio of apples to oranges is 10:7, and after adding 50 apples and 25 oranges, the new ratio becomes 3:2. The solution reveals that the shop now has 75 more apples, identified as the answer choice B.

1. GMAT QUANTITATIVE REASONING
WORD PROBLEMS
RATIO PROPORTION
PROBLEM SOLVING
Diagnostic Test

2. Question
The ratio of apples to oranges in a shop is 10 : 7. If the shop
receives 50 more apples and 25 more oranges, the ratio of
apples to oranges will be 3 : 2. How many more apples does
the shop have now?
A. 25
B. 75
C. 300
D. 175
E. 250

3. 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

4. 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.

5. 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.

6. 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.

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.
· 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

8. 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

9. 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 + 50
7x + 25
=
3
2

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

11. 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 + 50
7x + 25
=
3
2
2(10x + 50) = 3(7x + 25) 20x + 100 = 21x + 75 or x = 25

12. Take a few seconds
To verify whether you have answered the
right question

13. 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”.

14. 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”.

15. 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.

16. 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

17. 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.

18. 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.

19. 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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