Ashifur August 8, 2023 - 17:01
Problem: On a certain X — Y committee, $\frac{2}{3}$ of the members are men, and $\frac{3}{8}$ of the men are from country Y. If $\frac{3}{5}$ of the committee members are from country X, What fraction of the members are women from country Y?

View all: BASIC BANK | ASSISTANT OFFICER | WRITTEN QUESTION SOLVE (MATH) | 2009

Correct Answer: $\frac{3}{20}$

Explanation:

Let, Total member = x

Men= $\frac{2x}{3}$ and Women =x- $\frac{2x}{3}$ = $\frac{x}{3}$

Men from country Y= $\frac{2x}{3} \cdot \frac{3}{8} = \frac{x}{4}$

Member from country X =$\frac{3x}{5}$

Member from country Y = x — $\frac{3x}{5}$ = $\frac{2x}{5}$

Women from country Y = $\frac{2x}{5}$ – $\frac{x}{4}$ = $\frac{3x}{20}$

The required fraction = $\frac{\frac{3x}{20}}{x} = \frac{3}{20}$

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