Question

A alone can finish a work in 10 days and b alone can do it in 15 days. if they work together and finish it, then out of a total wages of rs. 225, the amount (in rupees) that a will get, is

Answer 1

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Answer 2

Answer:  A will get Rs. 135.

Step-by-step explanation:

Since we have given that

Number of days in which A can finish a work = 10 days

Number of days in which B can finish a work = 15 days

Total number of units = L.C.M. of 10 and 15 = 30

Number of units done by A = $\dfrac{30}{10}=3$

Number of units done by B = $\dfrac{30}{15}=2$

Ratio of their efficiency becomes 3:2

total amount = Rs. 225

So, Amount that A will get is given by

$\dfrac{3}{5}\times 225\\\\=3\times 45\\\\=Rs.\ 135$

Hence, A will get Rs. 135.