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 1: 30%
Option 2: 10%
Option 3: 40%
Option 4: 20%
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Correct Answer: 40%
Solution : Let the cost price (CP) be 100. The gain percentage is 12%. So, the selling price (SP) = 100 + 100 × $\frac{12}{100}$ = 112 Now, discount = 20%, So, the marked price (MP) × $\frac{(100-\text{discount percentage})}{100}$ = SP ⇒ MP × $\frac{(100-20)}{100}$ = 112 ⇒ MP = $\frac{112×100}{80}$ = 140 Therefore, the required percentage = (140 – 100) = 40% Hence, the correct answer is 40%.
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Question : After allowing a discount of 12% on the marked price a shopkeeper still gains 21%. The marked price is above the cost price by:
Option 1: 25%
Option 2: 30%
Option 3: 37.5%
Option 4: 42.5%
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%
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 2: 28%
Option 3: 42%
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 : A dealer marks his goods at 44% above the cost price. Then he allows 50% discount on it. What would be his loss percentage?
Option 3: 26%
Option 4: 32%
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