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# A and B undertaken to do a piece of work for Rs.1200. A alone can do it in 8 days, while B can do it in 6 days. With the help of C, they complete it in 3 days, Find C's share.

 A) Rs.450 B) Rs.300 C) Rs.150 D) Rs.100

 C) Rs.150

According to the question,

$$\Large \frac{1}{A}$$+$$\Large \frac{1}{B}$$+$$\Large \frac{1}{C}$$ = $$\Large \frac{1}{3}$$

= $$\Large \frac{1}{8}$$+$$\Large \frac{1}{6}$$+$$\Large \frac{1}{C}$$ = $$\Large \frac{1}{3}$$

= $$\Large \frac{1}{C}=\frac{1}{3}- \left(\frac{1}{8}+\frac{1}{6}\right)=\frac{1}{24}$$

Therefore, Ratio in shares of A, B and C = $$\Large \frac{1}{8}$$ : $$\Large \frac{1}{6}$$ : $$\Large \frac{1}{24}$$

= $$\Large \frac{3}{24}$$ : $$\Large \frac{4}{24}$$ : $$\Large \frac{1}{24}$$ = 3 : 4 : 1

Therefore, C's share = $$\Large \frac{1}{3+4+1} \times 1200$$ = Rs.150

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

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