A alone can complete a work in 10 days, B alone can do same work in 12 days and C alone can do the same work in 15 days. They jointly complete the work and earn Rs. 4500. What is the share of C?

Answer : Option C

Explanation :

Ratio of 1 day’s work of A, B and C $=\frac{1}{10}: \frac{1}{12}: \frac{1}{15}$ $=\frac{1}{10} \times 60: \frac{1}{12} \times 60: \frac{1}{15} \times 60$ [LCM of 10, 12 and 15 = 60] = 6 : 5 : 4 Sum of the terms of ratio = 6 + 5 + 4 = 15 ∴ C’s share $=\operatorname{Rs} .\left(\frac{4}{15} \times 4500\right)=$ Rs. 1200 Alternative:

According to the question,

15 units → 4500

1 units → 300

4 units → 300 × 4

= 1200

∴ Share of C = Rs. 1200