Question

A can do a job in 9/2 days, and B in 9 days. If they are paid ₹ 900 for the job, what will be each persons share ?​

Answer 1

Given:

A can do a job in 9/2 days

B can do a job in 9 days

If they are paid ₹ 900 for the job

To find:

Share of each person

Solution:

So,

In 1 day, the amount of job done by A = $\frac{2}{9}$

and

In 1 day, the amount of job done by B = $\frac{1}{9}$

We know that the wages are divided in proportion to the work done.

∴ The ratio of their wages is,

= $\frac{2}{9} : \frac{1}{9}$

taking the L.C.M. of the denominators and multiplying the L.C.M with each of the ratios

= $\frac{2}{9}\times9 : \frac{1}{9}\times 9$

= $2:1$

Now,

A' share = $\frac{2}{2+1} \times 900 = \frac{2}{3} \times 900 = 2 \times 300 = 600$

and

B's share = $\frac{1}{2+1} \times 900 = \frac{1}{3} \times 900 = 300$

Thus,

$\boxed{\bold {A's \:share\:is \:\underline{Rs.\:600}.}}\\\\\boxed{\bold {B's \:share\:is \:\underline{Rs.\:300}.}}$

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Answer 2

Step-by-step explanation:

here the ans is...

hope it helpss..!!