A can finish a work in 15 days, B in 20 days and C in 25 days. All these three worked together and earned Rs.4700. The share ofC is

A) Rs.1200

B) Rs.1500

C) Rs.1800

D) Rs.2000

Correct Answer:
A) Rs.1200

Description for Correct answer:

A's 1 day's work = \( \Large \frac{1}{15} \)

B's 1 day's work = \( \Large \frac{1}{20} \)

C's 1 day's work = \( \Large \frac{1}{25} \)

A, B and C worked together.

Therefore, \( \Large \left(A+B+C\right) \)'s 1 day's work

= \( \Large \frac{1}{15} \)+\( \Large \frac{1}{20} \)+\( \Large \frac{1}{25} \)

= \( \Large \frac{20+15+12}{300} = \frac{47}{300} \)

Days taken to complete work by A, B and C working together

= \( \Large \frac{300}{47}\)

Therefore, Share of C = \( \Large \frac{1}{25} \times \frac{300}{47} \times 4700 \) = Rs.1200

Part of solved Work and Wages questions and answers : >> Aptitude >> Work and Wages


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