Kaushlaya can do a work in $20$ days, while Kaikeyi can do the same work in $25$ days. They started the work jointly. A few days later Sumitra joined them and thus all of them completed the whole work in $10$ days. All of them were paid a total $R s . 700$ . What is the share of Sumitra?

R s . 130

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R s . 185

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R s . 70

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Solution

The correct option is D $R s . 70$
Efficiency of Kaushalya $= 5 %$

Efficiency of Kaikeyi $= 4 %$

Thus, in $10 d a y s$ working together they will complete only $90 %$ of the work.
$[(5 + 4) \times 10] = 90$

Hence, the remaining work will surely done by Sumitra, which is $10 %$ .

Thus, Sumitra will get $10 %$ of $R s . 700$ , which is $R s . 70$ .

Hence, this is the answer.

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Kaushlaya can do a work in 20 days, while Kaikeyi can do the same work in 25 days. They started the work jointly. A few days later Sumitra joined them and thus all of them completed the whole work in 10 days. All of them were paid a total Rs.700. What is the share of Sumitra?

Kaushlaya can do a work in $20$ days, while Kaikeyi can do the same work in $25$ days. They started the work jointly. A few days later Sumitra joined them and thus all of them completed the whole work in $10$ days. All of them were paid a total $R s . 700$ . What is the share of Sumitra?