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  • A milkman sold two of his buffaloes for Rs 20,000 each. On one hand he made a gain of 5 percent and on the other a loss of 10 percent. Find his overall gain or loss. (Hint :Find CP of each)

7 A milkman sold two of his buffaloes for Rs 20,000 each. On one hand, 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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best_answer

Given,

 The milkman sold two of his buffaloes for Rs 20,000 each. This is the Selling price of the buffaloes.

Let CP of one of the buffalo be Rs. X and the other be Rs. Y

Since he made a profit of 5% on one of them.

\therefore 105% of X = Rs. 20000

\\ \implies \frac{105}{100}\times X = 20000 \\ \implies X = \frac{100}{105}\times20000

\therefore X = Rs. 19047.6 

Similarly, since he made a loss of 10% on the other.

\therefore 90% of Y = Rs. 20000

\\ \implies \frac{90}{100}\times Y = 20000 \\ \implies Y = \frac{100}{90}\times20000

\therefore Y = Rs. 22222.2

\therefore Net CP = Rs.(19047.6 + 22222.2) = Rs. 41269.8

And net SP = 2 x Rs.20000 = Rs. 40000

Since SP < CP, he made a net loss.

\therefore His overall loss = Rs. (41269.8 - 40000) = Rs. 1269.8 = Rs. 1270 (approx)

 

Posted by

HARSH KANKARIA

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