The printed price of an article is 40 % highe | vedclass

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Question

(D) Let the cost price $(CP)$ of the article be $₹ 100$.Since the printed price (marked price) is $40 \%$ higher than the cost price,the marked price

Vedclass · Accepted Answer

$20$

Vedclass · Answer

(D) Let the cost price $(CP)$ of the article be $₹ 100$.Since the printed price (marked price) is $40 \%$ higher than the cost price,the marked price $(MP)$ is $100 + 40 = ₹ 140$.To gain a $12 \%$ profit,the selling price $(SP)$ must be $CP + 12 \% 	ext{ of } CP = 100 + 12 = ₹ 112$.The discount is the difference between the marked price and the selling price: $Discount = MP - SP = 140 - 112 = ₹ 28$.The discount percentage is calculated on the marked price: $	ext{Discount } \% = (\frac{Discount}{MP}) 	imes 100$.$	ext{Discount } \% = (\frac{28}{140}) 	imes 100 = 0.2 	imes 100 = 20 \%$.

The printed price of an article is $40 \%$ higher than its cost price. What is the discount rate so that the seller gains a $12 \%$ profit?

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