A person bought an article for Rs. 2500 and s | vedclass

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(D) The cost price $(C.P.)$ is $Rs. 2500$.The selling price $(S.P.)$ is given as $Rs. 3410$ with a credit period of $2$ years at an interest rate of $

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$10$

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(D) The cost price $(C.P.)$ is $Rs. 2500$.The selling price $(S.P.)$ is given as $Rs. 3410$ with a credit period of $2$ years at an interest rate of $12\%$ per annum. We must calculate the present worth $(P.W.)$ of this amount to find the actual selling price today.$P.W. = \frac{	ext{Amount} 	imes 100}{100 + (	ext{Rate} 	imes 	ext{Time})} = \frac{3410 	imes 100}{100 + (12 	imes 2)} = \frac{341000}{124} = Rs. 2750$.Now,the gain is calculated as: $	ext{Gain} = S.P. - C.P. = 2750 - 2500 = Rs. 250$.$	ext{Gain } \% = \left( \frac{	ext{Gain}}{C.P.} ight) 	imes 100 = \left( \frac{250}{2500} ight) 	imes 100 = 10\%$.

$A$ person bought an article for $Rs. 2500$ and sold it the same day for $Rs. 3410$,allowing a credit of $2$ years. If the rate of interest is $12\%$ per annum,then the gain of the man is (in $\%$):

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