Discussion

Question:

If 1/8^th out of x members are absent, then work increased for each person is:

Explanation:

Let the total work to be done = 1 unit

Number of persons originally scheduled to work = x

Work done by each person (w) = $\frac{1}{x}$

Given 1/8 members are absent, so number of persons present = x – $\frac{x}{8}$ = x $(1 - \frac{1}{8})$ = $\frac{7 x}{8}$

∴ Work done by each person in second case (w’) = $\frac{1}{7 x / 8}$ = $\frac{8}{7 x}$

Extra work by each person in second case = w’ – w = $\frac{8}{7 x}$ – $\frac{1}{x}$ = $\frac{1}{7 x}$

Hence, option (b).

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