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 come back. 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?
Explanation:
Let the total number of customers be 100x. So, customers who said they will return and who said that they will not return is 76x and 24x respectively. Of the 76x customers, the number of customers who rate it as good = 36% of 76x = 0.36 × 76x = 27.36x. Of the 24x customers, the number of customers who rate it as good = 32% of 24x = 0.32 × 24x = 7.68x. So, total customers who rated the restaurant as good = 27.36x + 7.68x = 35.04x. Required percentage = (35.04x/100x) × 100 = 35.04 ≈ 35%. Hence option (b).
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