A can do a piece of work in 3 days while B can do the same work in 4 days. If they work together for a total wages of Rs.2800, how much does A get?

A) Rs.1200

B) Rs.1900

C) Rs.1300

D) Rs.1600

Correct answer:
D) Rs.1600

Description for Correct answer:

A's 1 day's work = \( \Large \frac{1}{3} \)

B's 1 day's work = \( \Large \frac{1}{4} \)

A's share : B's share = \( \Large \frac{1}{3} \) : \( \Large \frac{1}{4} \)

= \( \Large \frac{4}{12} \) \( \Large \frac{3}{12} \) = 4 : 3

A's share = \( \Large \frac{4}{7} \times 2800 \) 

= \( \Large 4 \times 400 \) = Rs.1600



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