Question

Three persons A , B, and C complete a piece of work in 6 days for which they are paid a sum of Rs. 480.If the efficiency of A, B and C are in ratio 4 : 5 :7, then find the daily income of B?

1. Rs. 45
2. Rs. 25
3. Rs. 21
4. Rs. 35
5. Rs. 42

Answer 1

Correct Answer - Option 2 : Rs. 25

Given:

Total amount earned by A, B, and C in 6 days = Rs. 480

The ratio of efficiency of A, B, C is 4 : 5 : 7

Calculation:

The amount earned by them in 1 day = \(\frac{480}{6}\) = Rs. 80

The amount of money earned is proportional to the amount of work done

Let work done by A, B and C be 4x, 5x, and 7x.

Total work is done by A, B, and C together = 16x

Work done by B = 5x

Daily income of B = \(\frac{5x}{16x}\)× 80 = Rs. 25

∴ The daily income of B is Rs. 25.