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# 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

 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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