A and B undertake a project worth ₹36,000. A alone can do the work in 25 days. They worked together for 5 days. For the next five days, B worked alone. After that, substituted B and completed the remaining work in 5 days. The share of A in the earnings is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Rs. 14,400.
Given:
A and B undertake a project worth ₹36,000
A alone can do the work in 25 days
A and B worked together for 5 days and For the next five days, B worked alone. After that,
substituted B and completed the remaining work in 5 days
Concept used:
Total work = Time × Efficiency
Explanation:
According to the question
⇒ (A + B) × 5 + B × 5 + A × 5 = A × 25
⇒ 2A + 2B = 5A
⇒ 3A = 2B
⇒ A/B = 2/3
Hence, The share of A in the earnings = (2/5) × 36000
⇒ Rs. 14400