Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.
Quantity A: A alone can complete the 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?
Quantity B: Rs. 1200Quantity A:
A alone can complete the work in = 10 days
∴ A’s 1 day’s work = 1/10
B alone can complete the work in = 12 days
∴ B’s 1 day’s work = 1/12
C alone can complete the work in = 15 days
∴ C’s 1 day’s work = 1/15
∴ Ratio of work of A, B and C
⇒ (1/10) ? (1/12) ? (1/15)
⇒ 60 × 1/10 ? 60 × 1/12 ? 60 × 1/15
⇒ 6 ? 5 ? 4
Total earning = Rs. 4500
∴ Share of C,
⇒ 4500 × [4/(6 + 5 + 4)]
⇒ 4500 × 4/15
⇒ Rs. 1200
Quantity B:
Rs. 1200
∴ Quantity A = Quantity B