300 first-time customers of a fashion store were surveyed for their sh

Question

300 first-time customers of a fashion store were surveyed for their shopping experience right after leaving the store. 60% of the customers in the survey had purchased clothes for less than $100. 40% of the customers in the survey reported they were overall satisfied with their purchase. 25% of the customers that had purchased clothes for less than $100 reported they were overall satisfied with their purchase. What percent of the customers surveyed purchased clothes for at least $100 and reported that they were NOT overall satisfied with their purchase?

A. 15
B. 25
C. 35
D. 45
E. 75

A. 15
B. 25
C. 35
D. 45
E. 75

Nidzo · Answer

Need to find people who spent over 100 and were not satisfied with purchase.

300 people in total

60% spent <100 = 180 people
40% satisfied = 120 people
25% = spent <100 & were satisfied = 75

(Total satisfied people) - (people who spent <100 & were satisfied) = (people who spent >100 & were satisfied)
180 - 75 = 45

(Total people) - (total people who spent <100) = (total people who spent >100)
300 - 180 = 120

(total people who spent >100) - (people who spent >100 & were satisfied) = (people who spent > 100 & were not satisfied)
120 - 45 = 75

75/300 spent over 100 and were not satisfied = 25%
Answer B

stne · Answer

\frac{60}{100}*300 = 180 : less than 100 \frac{40}{100}*300 = 120 : Overall satisfied \frac{25}{100}*180= 45 : Less than 100 and satisfied So as shown in the fig. below the one's in bold are already given. We can certainly calculate the rest as shown below. shoppers stop.png At least 100 BUT NOT satisfied = = 120 - 75 =45 \frac{45}{300}*100= 15\% Ans- A Hope it's clear.

SaquibHGMATWhiz · Answer

Solution: Best way to solve such question is to make 2*2 grid satisfied.png Customers who purchased clothes for < $100 = 60% of 300 = 180 Therefore, ≥ $100 = 300 - 180 = 120 satisfied1.png Overall satisfied customer = 40% of 300 = 120 Therefore, unsatisfied customer = 300 - 120 = 180 satisfied2.png Customer who bought < $100 and satisfied = 25% of 180 = 45 After which we can fill all the rest of the cells satisfied3.png Percent of the customers purchased clothes for at least $100 and reported that they were NOT overall satisfied =\frac{45}{300} imes 100=15\% Hence the right answer is Option A

ThatDudeKnows · Answer

There's nothing wrong with any of the previous answers in this thread, but it is worth noting that since the question asks for the percent of the total customers, we can work with the percentages throughout rather than with the actual numbers. Why convert from percentages to customers only to have to convert back at the end? Just fill in the grid the same way those other folks did, but with 100% rather than 300 customers, 60% where they have 180 customers, 40% where they have 120 customers, etc....you end up with 15% in the box in question.

Answer choice A.

bumpbot · Answer

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300 first-time customers of a fashion store were surveyed for their sh

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