A and B can do a piece of work in 8 days and 10 days respectively, wit

1.	A and B can do a piece of work in 8 days and 10 days respectively, with the help of C, they completed the work in 4 days. They earned Rs. 1848. What was the share of C?1. 2312. 184.83. 368.44. 284
Answer» Correct Answer - Option 2 : 184.8 Given: Time taken by A to finish the work = 8 days Time taken by B to finish the work = 10 days Time taken by (A, B and C) to finish the work = 4 days Total earnings = Rs. 1848 Concept used: Efficiency = Total work/Time taken The share will be proportional to work done Calculation: L.C.M of (8, 10 and 4) = 40 = Total work Efficiency of A = 40/8 = 5 units/day Efficiency of B = 40/10 = 4 units/day Efficiency of (A, B and C) = 40/4 = 10 units/day Efficiency of C = Efficiency of (A, B and C) – Efficiency of (A and B) ⇒ 10 – (5 + 4) units/day ⇒ (10 – 9) units/day ⇒ 1 unit/day Share of C = (1/10) × Rs. 1848 ⇒ Rs. 184.8 ∴ The share of C is Rs. 184.8

A and B can do a piece of work in 8 days and 10 days respectively, with the help of C, they completed the work in 4 days. They earned Rs. 1848. What was the share of C?1. 2312. 184.83. 368.44. 284

Answer» Correct Answer - Option 2 : 184.8

Given:

Time taken by A to finish the work = 8 days

Time taken by B to finish the work = 10 days

Time taken by (A, B and C) to finish the work = 4 days

Total earnings = Rs. 1848

Concept used:

Efficiency = Total work/Time taken

The share will be proportional to work done

Calculation:

L.C.M of (8, 10 and 4) = 40 = Total work

Efficiency of A = 40/8 = 5 units/day

Efficiency of B = 40/10 = 4 units/day

Efficiency of (A, B and C) = 40/4 = 10 units/day

Efficiency of C = Efficiency of (A, B and C) – Efficiency of (A and B)

⇒ 10 – (5 + 4) units/day

⇒ (10 – 9) units/day

⇒ 1 unit/day

Share of C = (1/10) × Rs. 1848

⇒ Rs. 184.8

∴ The share of C is Rs. 184.8

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