A alone can do a piece of work in 3 days, while B alone can do the same work in 2 days. If they work together to complete the work, their total wages is fixed Rs.225. Find the share of A.

A) Rs.90

B) R.s.75

C) Rs.95

D) Rs.65

Correct answer:
A) Rs.90

Description for Correct answer:
A's 1 day's work = \( \Large \frac{1}{3} \)

B's 1 day's work = \( \Large \frac{1}{2} \)

A's share : B's share = \( \Large \frac{1}{3} \) : \( \Large \frac{1}{2} \)

= \( \Large \frac{2}{6} \) : \( \Large \frac{3}{6} \) = 2 : 3

Share of A = \( \Large \frac{2}{5} \times 225 \) = Rs.90


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