A man buys 2 cows for Rs. 2700 and sells one | vedclass

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(C) Let the cost price of the first cow be $C_1$ and the second cow be $C_2$.Given $C_1 + C_2 = 2700$.Since there is neither gain nor loss on the whol

Vedclass · Accepted Answer

$1200$

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(C) Let the cost price of the first cow be $C_1$ and the second cow be $C_2$.Given $C_1 + C_2 = 2700$.Since there is neither gain nor loss on the whole,the loss on the first cow equals the gain on the second cow.$6\% 	ext{ of } C_1 = 7.5\% 	ext{ of } C_2$.$\frac{C_1}{C_2} = \frac{7.5}{6} = \frac{75}{60} = \frac{5}{4}$.Thus,the ratio of the cost prices is $C_1 : C_2 = 5 : 4$.The cost price of the $2^{nd}$ cow is $C_2 = \frac{4}{5+4} 	imes 2700 = \frac{4}{9} 	imes 2700 = 4 	imes 300 = Rs. 1200$.

$A$ man buys $2$ cows for $Rs. 2700$ and sells one at a loss of $6\%$ and the other at a gain of $7.5\%$. On the whole,he neither gained nor lost. What is the cost price of the $2^{nd}$ cow?

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