Question : A trader gains 25% by selling an article with a 20% discount on its marked price. If the cost price of the article increases by 30%, then how much discount (in %) should he offer on the same marked price to gain 15% of profit?
Option 1: 4.32%
Option 2: 5.08%
Option 3: 5.12%
Option 4: 4.87%
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Correct Answer: 4.32%
Solution : Let the marked price of the article be 100. The trader gives a 20% discount on its marked price. So, the selling price = 100 – 20 = 80 He gains 25%. $\therefore$ Cost price of the article $=\frac{100}{100+25}×80=\frac{100}{125}×80=64$ Now, the cost price of the article increases by 30%. New cost price $=\frac{100+30}{100}×64=\frac{130}{100}×64=83.2$ To gain 15% of profit, the selling price must be $=\frac{100+15}{100}×83.2=\frac{115}{100}×83.2=95.68$ So, the discount percentage on marked price $=\frac{100-95.68}{100}×100=\frac{4.32}{100}×100=4.32\%$ Hence, the correct answer is 4.32%.
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Question : A dealer gains 20% by selling an article at 25% discount on its marked price. If the cost price of the article is decreased by 15%, how much discount percentage should he now give on the same marked price so as to earn the same percentage of profit as before?
Option 1: 32.50%
Option 2: 35%
Option 3: 36.25%
Option 4: 37.75%
Question : A person marks an article 36% above the cost price and offers a 30% discount on the marked price. What is the loss or gain percentage?
Option 1: Loss 6.5%
Option 2: Loss 4.8%
Option 3: Gain 8.5%
Option 4: Gain 7.2%
Question : The marked price of an article is 20% more than its cost price. What is the profit percent if a 5% discount is given on the marked price?
Option 1: 5
Option 2: 14
Option 3: 15
Option 4: 25
Question : A dealer is selling an article at a discount of 5% on the marked price. If the marked price is 12% above the cost price and the article was sold for Rs. 532, then the cost price is (in Rs.):
Option 1: 500
Option 2: 525
Option 3: 505
Option 4: 520
Question : A shopkeeper marks an article at such a price that after giving a discount of $12 \frac{1}{2} \%$ on the marked price, he still earns a profit of 15%. If the cost price of the article is Rs. 385, then the sum of the marked price and the selling price (in Rs.) of the article is:
Option 1: 948.75
Option 2: 849.5
Option 3: 984.75
Option 4: 954.75
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