Question

A alone can do a piece of work in $10$ days , B can do it in $12$ days, They worked for $4$ days and then the remaining work was completed by C in $8$ days. If they under took Rs. $7280$ to do it, then what is the share of B?

• A. Rs. $2475$
• B. Rs. $2425$
• C. Rs. $2524$
• D. Rs. $2452$

Answer 1

The correct option is B Rs. $2425$

A alone can finish the work in $10$ days.
Work rate of A $=\frac{100}{10}=10\%$ per day.
B can complete the work in $12$ days.
B's work rate $=\frac{100}{12}=8.33\%$ per day.
(A+B) together work rate $=10+8.33=18.33\%$ per day.
A and B completed work in 4 days. $=18.33\times 4=73.33\%$
Remaining work $=100-73.33=26.67\%$
B has done $=8.33\times 4=33.33\%$ work in 4 days.
So his share should be $33.32\%$.
B share $=33.32\%$ of $7280=$ Rs.$2425.$