A can do a work in 12 days and B in 16 days. They undertook to do it f

1.	A can do a work in 12 days and B in 16 days. They undertook to do it for Rs. 6000 with the help of ‘C’ they completed the work in 6 days. What is the share of A?1. Rs. 28802. Rs. 30003. Rs. 14404. Rs. 2400
Answer» Correct Answer - Option 2 : Rs. 3000 Given: A can do a work in 12 days. B can do a work in 16 days. (A + B + C) can do a work together in 6 days. Concept Used: Work done = Time × Efficiency Calculation: Total work done = LCM of days = 96 units (we have taken multiple of 48) Efficiency of A = 96/12 = 8 units Efficiency of B = 96/16 = 6 units Efficiency of (A + B + C) = 16 units The efficiency of C = 16 - 8 - 6 = 2 The ratio of efficiency = 8 : 6 : 2 = 4 : 3 : 1 The share of A = 4/8 × 6000 = Rs.3000 ∴ The share of A is Rs.3000.

A can do a work in 12 days and B in 16 days. They undertook to do it for Rs. 6000 with the help of ‘C’ they completed the work in 6 days. What is the share of A?1. Rs. 28802. Rs. 30003. Rs. 14404. Rs. 2400

Answer» Correct Answer - Option 2 : Rs. 3000

Given:

A can do a work in 12 days.

B can do a work in 16 days.

(A + B + C) can do a work together in 6 days.

Concept Used:

Work done = Time × Efficiency

Calculation:

Total work done = LCM of days = 96 units (we have taken multiple of 48)

Efficiency of A = 96/12 = 8 units

Efficiency of B = 96/16 = 6 units

Efficiency of (A + B + C) = 16 units

The efficiency of C = 16 - 8 - 6 = 2

The ratio of efficiency = 8 : 6 : 2 = 4 : 3 : 1

The share of A = 4/8 × 6000 = Rs.3000

∴ The share of A is Rs.3000.

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