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?

By finding their daily work rates, Kaushlaya completes 10/20 of the work in 10 days and Kaikeyi completes 10/25 in 10 days. Adding these together gives a combined completion of 0.9, leaving exactly 0.1 of the work done by Sumitra. Because wages are distributed strictly in proportion to work done, Sumitra receives 0.1 of the total Rs. 700, which is Rs. 70.

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