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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 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
Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2
How many more apples does the shop have now?
揃 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?
揃 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?
揃 Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges.
揃 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?
揃 Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges.
揃 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?
揃 Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges.
揃 Shop adds 50 more apples and 25
more oranges.
After addition, 10x + 50 apples and 7x + 25
oranges.
揃 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?
揃 Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges.
揃 Shop adds 50 more apples and 25
more oranges.
After addition, 10x + 50 apples and 7x + 25
oranges.
揃 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?
揃 Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges.
揃 Shop adds 50 more apples and 25
more oranges.
After addition, 10x + 50 apples and 7x + 25
oranges.
揃 Ratio after addition - apples : oranges :: 3 : 2  10x + 50 : 7x + 25 :: 3 : 2
Solve for x:
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?
揃 Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges.
揃 Shop adds 50 more apples and 25
more oranges.
After addition, 10x + 50 apples and 7x + 25
oranges.
揃 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)
Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2
How many more apples does the shop have now?
揃 Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges.
揃 Shop adds 50 more apples and 25
more oranges.
After addition, 10x + 50 apples and 7x + 25
oranges.
揃 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
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
揃 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
揃 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
揃 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.
揃 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
揃 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.
揃 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
揃 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.
揃 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
揃 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.
揃 We have computed x to be 25 Hence, the shop has 3 * 25 = 75 more apples.
For GMAT Prep
Visit http://www.4gmat.com
GMAT Classes and GMAT Preparation
Send your comments / feedback to
info@4gmat.com
4GMAT
We offer classroom training in Chennai and Bangalore
Tutors include GMAT 98%ilers, US B School
graduates and IIM graduates
Call us: +91 95000 48484
Mail us: info@4gmat.com

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4GMAT Diagnostic Test Q19 - Problem Solving - Ratio Word Problem

  • 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? 揃 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? 揃 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? 揃 Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges. 揃 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? 揃 Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges. 揃 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? 揃 Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges. 揃 Shop adds 50 more apples and 25 more oranges. After addition, 10x + 50 apples and 7x + 25 oranges. 揃 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? 揃 Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges. 揃 Shop adds 50 more apples and 25 more oranges. After addition, 10x + 50 apples and 7x + 25 oranges. 揃 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? 揃 Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges. 揃 Shop adds 50 more apples and 25 more oranges. After addition, 10x + 50 apples and 7x + 25 oranges. 揃 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? 揃 Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges. 揃 Shop adds 50 more apples and 25 more oranges. After addition, 10x + 50 apples and 7x + 25 oranges. 揃 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? 揃 Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges. 揃 Shop adds 50 more apples and 25 more oranges. After addition, 10x + 50 apples and 7x + 25 oranges. 揃 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 揃 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 揃 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 揃 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. 揃 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 揃 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. 揃 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 揃 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. 揃 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 揃 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. 揃 We have computed x to be 25 Hence, the shop has 3 * 25 = 75 more apples.
  • 20. For GMAT Prep Visit http://www.4gmat.com GMAT Classes and GMAT Preparation Send your comments / feedback to info@4gmat.com
  • 21. 4GMAT We offer classroom training in Chennai and Bangalore Tutors include GMAT 98%ilers, US B School graduates and IIM graduates Call us: +91 95000 48484 Mail us: info@4gmat.com