Question

A can do a piece of work in 8 days and b can do the same pieve of work in 12 days.A and b together complete the same piece of work and get rs 200 as the combined wages.B's share of the wages will be .

Answer 1

A can do a piece of work in 8 days

⇒ A = 1/8 rupees

B can do the same piece of work in 12 days.

⇒ B = 1/12 rupees

Therefore, the ratio is given as,

A : B = 1/8 : 1/12

⇒ A : B = 3 : 2

∴ A + B = 3 + 2 =5

⇒ A = 3/5

⇒ B = 2/5

Combined wages of A's and B's work is Rs. 200

A's share = 3/5 × 200 = 120

B's share = 2/5 × 200 = 80

Therefore, the A's share of the wages will be Rs. 120

Therefore, the B's share of the wages will be Rs. 80

Verification:

A's share + B's share = Rs. 200

Rs. 120 + Rs. 80 = Rs. 200