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Question
A milkman sold two of his buffaloes for Rs 20,000 each. On one he made a gain of 5% and on the other a loss of 10%. Find his overall gain or loss.
(Hint: Find CP of each)
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Solution
S.P. of each buffalo = Rs 20000
The milkman made a gain of 5% while selling one buffalo.
This means if C.P. is Rs 100, then S.P. is Rs 105.
C.P. of one buffalo = Rs `(20000 xx 100/105)` = Rs 19,047.62
Also, the second buffalo was sold at a loss of 10%.
This means if C.P. is Rs 100, then S.P. is Rs 90.
∴C.P. of other buffalo = Rs `(20000 xx 100/90)` = Rs 22222.22
Total C.P. = Rs 19047.62 + Rs 22222.22 = Rs 41269.84
Total S.P. = Rs 20000 + Rs 20000 = Rs 40000
Loss = Rs 41269.84 − Rs 40000 = Rs 1269.84
Thus, the overall loss of milkman was Rs 1,269.84.
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