Question

12. A can do a work in 6 days and B in 8 days. With the help of a boy, the three complete the work in 3 days and get Rs.
200. What is the boy's share, if the money is distributed in the ratio of the work done?​

Answer 1

Answer:

Rs. 25

Step-by-step explanation:

Rate of A = 1/6

Rate of B = 1/8

Rate of boy = x

Combined rate  = 1/3

$\dfrac16+\dfrac18+x= \dfrac13$

$x= \dfrac13 - \dfrac16-\dfrac18$

$x = \dfrac{1}{24}$

Fraction of work done by boy = $\dfrac{1}{24} \times 3 = \dfrac18$

Thus, the boy will get 1/8th of the money

Money earned by boy = 1/8 * 200 = 25