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20. How much percent above the cost price should a shopkeeper mark his goods so thatafter allowing a discount of 20% he still earns a profit of 20%? |
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Answer» let the CP be Rs. 100 and MP be Rs. xgain % after discount = 20%gain = 20% of 100 = Rs. 20⇒SP of the article = CP + Gain = Rs. (100 + 20) = Rs. 120Discount % = 20%Discount = 20% of Marked Price= Rs.20/100 * x = Rs. 20x/100 = Rs. x/5as the question saysmarked Price - discount = SP=> x - x/5 = 120=> (5x - x)/5 = 120=> 4x/5 = 120=> x = 120 * 5/4 = Rs. 150marked Price = Rs. 150amount marked above the CP = MP - CP = Rs. (150 - 100) = Rs. 50∴% amount marked above the CP= Amount increased/CP * 100= 50/100 * 100= 50% |
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