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Question

Two quantities, I and II, are provided in the question. To determine the proper relationship between Quantity I and Quantity II and to select the appropriate option, solve both quantities.

Quantity I: 30% of men and 60% of women work in an office, and 40% of the men enjoy coffee. Find the number of female employees who enjoy coffee if 1040 employees do not.

Quantity II: 560

A Quantity-I < Quantity-II Correct Answer Incorrect Answer
B Quantity-I > Quantity-II Correct Answer Incorrect Answer
C Quantity-I ≤ Quantity-II Correct Answer Incorrect Answer
D Quantity-I = Quantity-II or No relation Correct Answer Incorrect Answer
E Quantity-I ≥ Quantity-II Correct Answer Incorrect Answer

Solution

ATQ, Quantity I: Let total number of employees be 100x Number of men = 0.40 × 100x = 40x Number of women = 0.60 × 100x = 60x Number of men who likes coffee = 0.30 × 40x = 12x Number of men who does not like coffee = 40x × 12x = 28x Number of women who likes coffee = 0.60 × 60x = 36x Number of women who does not like coffee = 60x – 36x = 24x So, 28x + 24x = 1040 Or, 52x = 1040 Or, x = 20 So, number of women who likes coffee = 36 × 20 = 720 So, Quantity I = 720 And, Quantity II = 560 Therefore, Quantity I > Quantity II

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