IIFT 2019 Question Paper | Quants

CAT Questions

The best way to boost your IIFT prep is to practice the actual IIFT Question Papers. 2IIM offers you exactly that, in a student friendly format to take value from this. In the 2019 IIFT, quants were a mixed bag of questions of varying difficulty, with some routine questions and the others were very demanding. Some beautiful questions that laid emphasis on Learning ideas from basics and being able to comprehend more than remembering gazillion formulae and shortcuts.

Question 6: KBC restaurant chain regularly conducts survey of its customers. The customers are asked to rate the food quality, service and price as Excellent, Good and Fair. Customers are also asked whether they would comeback. It was found that 76% of customers say that they will come back. Amongst those who say that they will come back, 57% rate the restaurant as Excellent, 36% rate it as Good and remainder rate it as Fair. Of those who say that they will not return, the respective values are 14%, 32% and 54%. What percentage of customers rated the restaurant as good?

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Video Explanation

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Explanatory Answer

The percentages customers who do not return = 100%-76% = 24%
Similarly, we can calculate the customers who came back and rated KBC fair = 100 – (57+36) = 7%
There are two types of people who rate the restaurant as good; who came back and who did not return.
Percentage of customers rated the restaurant as good = (who came back and rated as good) + (not return and rated as good)] On plugging in the numbers we have,
Percentage of customers rated the restaurant as good = (76% * 36%) + (24% * 32%)
= 27.36% + 7.68%
= 35%

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The question is "What percentage of customers rated the restaurant as good?"

Hence, the answer is, "35%"

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