Question : A shopkeeper earns a profit of 15% after selling a book at a 20% discount on the printed price. The ratio of the cost price to the printed price of the book is:
Option 1: 20 : 23
Option 2: 23 : 20
Option 3: 16 : 23
Option 4: 23 : 16
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Correct Answer: 16 : 23
Solution : Selling price = $\frac{100-\text{discount%}}{100}×$ marked price Selling price = $\frac{100+ \text{profit%}}{100}×$ cost price From both formulas, $\frac{100-\text{discount%}}{100}×$ marked price = $\frac{100+ \text{profit%}}{100}×$ cost price ⇒ $\frac{100-20}{100}×$ marked price = $\frac{100+15}{100}×$ cost price ⇒ Cost price : marked price = 80 : 115 = 16 : 23 Hence, the correct answer is 16 : 23.
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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
Question : A shopkeeper makes a net profit of 44% on selling an article at successive discounts of 10% and 20%. Find the net profit percentage, if the shopkeeper sells the same article at a discount of 15%.
Option 1: 50%
Option 2: 70%
Option 3: 30%
Option 4: 40%
Question : While selling a shirt, a shopkeeper gives a discount of 7%. If he gives a discount of 9%, he earns Rs. 15 less in profit. The marked price of the shirt is:
Option 1: Rs. 712
Option 2: Rs. 787
Option 3: Rs. 750
Option 4: Rs. 697
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%
Question : A store sells a watch for a profit of 25% of its cost price. Then, the percentage of profit against the selling price is:
Option 1: 22%
Option 2: 20%
Option 3: 18%
Option 4: 15%
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