Question : A merchant allows a discount of 10% on the marked price for the cash payment. To make a profit of 17%, he must mark his goods higher than their cost price by:
Option 1: 33%
Option 2: 40%
Option 3: 27%
Option 4: 30%
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Correct Answer: 30%
Solution : Let the cost price be 100. Since profit percentage = 17% ⇒ Selling price = 100 + 17% of 100 = 117 Since discount = 10% of marked price ⇒ Selling price = 90% of marked price ⇒ 117 = 90% of marked Price ⇒ Marked price $=\frac{117×100}{90} = 130$ So, the required percentage $=\frac{\text {Marked price – Cost price}}{\text {Cost price}} × 100 = \frac{130–100}{100}× 100 = 30$% ⇒ Marked price is higher than the cost price by 30%. Hence, the correct answer is 30%.
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Question : A treader wishes to gain 20% after allowing a 10% discount on the marked price to his customers. At what percent higher than the cost price must he mark up his goods?
Option 1: $30\%$
Option 2: $33\frac{1}{3}\%$
Option 3: $34\frac{2}{3}\%$
Option 4: $35\%$
Question : While selling to the retailer, a company allows a 30% discount on the marked price of their products. If the retailer sells those products at a marked price, his profit % will be:
Option 1: 30%
Option 2: 42$\frac{1}{7}$%
Option 3: 40%
Option 4: 42$\frac{6}{7}$%
Question : A shopkeeper allows a discount of 20% on the marked price and still gains 12% on the whole. Find at what percentage above the cost price he marks his goods.
Option 2: 10%
Option 4: 20%
Question : What percentage above the cost price should a seller mark his goods so that, after allowing a discount of 20% on the marked price, he can earn a profit of 4%?
Option 1: 25%
Option 2: 28%
Option 3: 42%
Question : The marked price of an article is twice the cost price. For a gain of 30%, what should be the discount percentage?
Option 2: 35%
Option 3: 25%
Option 4: 40%
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