A shopkeeper sold an article at the rate of R | vedclass

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(D) Let the Cost Price $(CP)$ of the article be $C$.Given that the Selling Price $(SP_1)$ is $Rs. 35$ and the profit percentage is $40\%$.The formula

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$40$

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(D) Let the Cost Price $(CP)$ of the article be $C$.Given that the Selling Price $(SP_1)$ is $Rs. 35$ and the profit percentage is $40\%$.The formula for $CP$ is $CP = \frac{SP 	imes 100}{100 + 	ext{Profit}\%}$.So,$C = \frac{35 	imes 100}{100 + 40} = \frac{3500}{140} = Rs. 25$.Now,we want to earn a profit of $60\%$.New Selling Price $(SP_2)$ $= CP 	imes \frac{100 + 	ext{Profit}\%}{100}$.$SP_2 = 25 	imes \frac{100 + 60}{100} = 25 	imes \frac{160}{100} = 25 	imes 1.6 = Rs. 40$.Therefore,the article should be sold at $Rs. 40$ to earn a $60\%$ profit.

$A$ shopkeeper sold an article at the rate of $Rs. 35$ per article and earned a profit of $40\%$. At what price should each article have been sold to earn a profit of $60\%$?

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