A man buys two cricket bats, one for $R s 1360$ and the other for $R s 1040$ . He sells the first bat at a gain of $15$ and the second one at a loss of $15$ . Find his gain or loss per cent in the whole transaction.

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Solution

For 1st bat
Cost prize $= R s 1360$
Gain $= \frac{15}{100} \times 1360 = R s 204$
Selling prize $= 1360 + 204 = R s 1564$
For 2nd bat
Cost prize $= R s 1040$
Loss $= \frac{15}{100} \times 1040 = R s 156$
Selling prize $= 1040 - 156 = R s 884$
Total Cost prize $= 1360 + 1040 = R s 2400$
Total Selling prize $= 1564 + 884 = R s 2448$
Gain $= 2448 - 2400 = R s 48$
Percentage gain $= \frac{48}{2400} \times 100 = 2 %$

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A man buys two cricket bats, one for Rs1360 and the other for Rs1040. He sells the first bat at a gain of 15 and the second one at a loss of 15. Find his gain or loss per cent in the whole transaction.

For 1st batCost prize=Rs 1360Gain=15100×1360=Rs 204Selling prize=1360+204=Rs 1564For 2nd batCost prize=Rs 1040Loss=15100×1040=Rs 156Selling prize=1040−156=Rs 884Total Cost prize=1360+1040=Rs 2400Total Selling prize=1564+884=Rs 2448Gain=2448−2400=Rs 48Percentage gain=482400×100=2%

A man buys two cricket bats, one for $R s 1360$ and the other for $R s 1040$ . He sells the first bat at a gain of $15$ and the second one at a loss of $15$ . Find his gain or loss per cent in the whole transaction.