Question : A dealer allows a 25% discount on the marked price of an article and gains 20%. If the cost price of the article increases by 20%, how much discount percentage should he allow on the marked price to earn the same percentage of profit as before?
Option 1: 12%
Option 2: 8.5%
Option 3: 10%
Option 4: 7.25%
Correct Answer: 10%
Solution : Let the marked price be Rs.100 Selling price = 100× $\frac{75}{100}$ = Rs. 75 ⇒120% of the cost price = 75 ⇒ Cost price = 75 × $\frac{100}{120}$ New cost price = 120% of old cost price New cost price = 100 × $\frac{75}{100}$ × $\frac{100}{120}$ = Rs.75 Since the profit percentage remains the same ⇒ New selling price = 75 × $\frac{100}{120}$ = Rs.90 New discount = $\frac{\text{100 - 90}}{\text{100}}$ × 100 = 10% Hence, the correct answer is 10%.
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Question : After allowing a 10% discount on the marked price of an article, a dealer makes a profit of 5%. What is the marked price, if the cost price of the article is INR 300?
Option 1: INR 400
Option 2: INR 320
Option 3: INR 375
Option 4: INR 350
Question : The marked price of an article is 50% more than its cost price. If a 20% discount is given, then what will be the profit percentage?
Option 1: 20%
Option 2: 25%
Option 3: 30%
Option 4: 50%
Question : After allowing a 10% discount on the marked price of an article, a person makes a profit of 16%. If the cost price of the article is INR 648, then its marked price is:
Option 1: INR 910.40
Option 2: INR 835.20
Option 3: INR 751.68
Option 4: INR 826.80
Question : The marked price of an article is 40% more than its cost price. If a 10% discount is given, what is the profit percentage?
Option 1: 10%
Option 2: 20%
Option 3: 26%
Option 4: 32%
Question : A shopkeeper increases the cost price of an item by 50% and offers a discount of 40% on this marked price. What is his loss percentage?
Option 1: 15%
Option 4: 5%
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