In a survey on sales of soft drinks, 65 percent of the surveyed

Question

﻿In a survey on sales of soft drinks, 65 percent of the surveyed customers said that they buy brand A regularly, 60 percent said that they buy brand B regularly, and 32 percent said that they do not usually buy either of the two brands. What percent of the surveyed customers said that they buy both brands A and B regularly?

A. 37
B. 54
C. 57
D. 59
E. 61

gmatophobia · Accepted Answer

We can use a 2*2 matrix to solve this question. Let's plot the information on a matrix as shown below -

Brand A   Not Brand A   Total  
  Brand B  x    60  
  Not Brand B    32  40  
  Total  65  35  100

Using the information in the premise we can find the values of the remaining cells

Brand A   Not Brand A   Total  
  Brand B  65-08 = 57    60  
  Not Brand B  40-32 = 08  32  40  
  Total  65  35  100

Option C

JeffTargetTestPrep · Answer

To solve this problem, we can use a formula for 2 overlapping sets:

Total = #A + #B – #Both + #Neither

The formula works well even if we have percentage data only.

100% = 65% + 60% – Both + 32%

Both = 57%

Answer: C

kanishkakarpe · Answer

Pretty easy with set theory- 
T = (A u B) + neither A or B = (A + B - A n B) + neither A or B
100 = 65 + 60 - (required) + 32

A n B = 57

Paras96 · Answer

﻿In a survey on sales of soft drinks, 65 percent of the surveyed customers said that they buy brand A regularly, 60 percent said that they buy brand B regularly, and 32 percent said that they do not usually buy either of the two brands. What percent of the surveyed customers said that they buy both brands A and B regularly?

Total = buy brand A regularly + buy brand B regularly + do not usually buy either of the two brands - buy both brands A and B regularly
=>100 = 65+60+32-x
=> x = 57

Hence C

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In a survey on sales of soft drinks, 65 percent of the surveyed

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	Brand A	Not Brand A	Total
Brand B	x		60
Not Brand B		32	40
Total	65	35	100

GMAT Problem Solving (PS) Questions

In a survey on sales of soft drinks, 65 percent of the surveyed

Prep Toolkit

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