Question

P can complete a work in 10 days, Q can complete the same work in 15 days and with the help of R they were able to
complete the work in 3 days. If the total money earned is Rs 1200, find the share of R.​

Answer 1

Answer:

R-400 rupees p Q allso 400

Answer 2

Answer:

The share of R will be Rs. 600.

Step-by-step explanation:

As per the data given in the question,

We have to determine the amount obtained by R.

As per the question,

It is given that,

P can complete a work in 10 days,

So, P will complete (1/10) part of the work in 1 day

Q can complete the same work in 15 days

So, Q can complete (1/15) part of the work in 1 day.

As with the help of R they were able to complete the work in 3 days.

So, (P+Q+R) can complete (1/3) part of the work in 1 day.

So, R can complete $\frac{1}{3}-\frac{1}{10}-\frac{1}{15}=\frac{10-3-2}{30}=\frac{5}{30}=\frac{1}{6}$ part of work in a day.

So, the ratio of work done of P, Q and R will be; (1/10):(1:15):(1:6) = 3:2:5

As the ratio of the work of P, Q and R is 3:2:5

So, amount will be divided in ratio of 3:2:5.

As the total money earned is Rs 1200,

So, share of R will be $\frac{5}{10}\times 1200 = Rs.\:600$

So, the share of R will be Rs. 600.

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