Question

A person can do a piece of work in 24 days. With the help of a boy he can do the same work in 15 days. If they get rs 1728 for the work, what will be the share of the boy?

Answer 1

Step-by-step explanation:

Profit share is divided between their efficiency

Answer 2

Share of the boy:

• Given number of days taken by the person to do the work = 24 days =  (P).

• Let the number of days taken by the boy to do the work = x days = (B).

• Given that both of them together will take 15 days to complete the work.

• As, number of days taken is directly proportional to the work done,

• 1/P + 1/B = 1/15
• 1/24 + 1/x = 1/15
• 1/x = 1/15 - 1/24 = 9/360 = 1/40

Thus the number of days taken by the boy is 40 days.

• To find the share of the boy;

We know that efficiency is inversely proportional to the number of days taken,

• (efficiency of the person) : (efficiency of the boy) = (no. of days taken by the boy) : (no. of days taken by the person)

• (efficiency of the person) : (efficiency of the boy) = (40) : (24) = 5:3

Thus the share of the boy is (3/8 * 1728) rupees = Rs. 648.