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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.

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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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S.P. of each buffalo = Rs 20,000

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 = \(\frac{100}{105}\) × 20000

= 19,047.62

Also, the second buffalo was sold at a loss of 10%

This means if C.P. is 100, then S.P. is 90

∴ C.P. of other buffalo = \(\frac{100}{90}\) × 2000

= 22222.22

Total C.P. = 19047.62 + 22222.22

= 41269.84

Total S.P. = 20000 + 20000

= 40000

Loss = 41269.84 − 40000

= 1269.84

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