Question : The marked price of a saree is Rs. 200. After allowing a discount of 20% on the marked price, the shopkeeper makes a profit of Rs.16. Find the gain percentage:
Option 1: $11\frac{1}{9}$%
Option 2: $9\frac{1}{11}$%
Option 3: $11$%
Option 4: $8$%
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Correct Answer: $11\frac{1}{9}$%
Solution : Selling price = 200 - 200×$\frac{20}{100}$ = Rs. 160 Cost price = Selling price – Profit = 160 – 16 = Rs. 144 Gain % = $\frac{Gain}{\text{Cost price}}×100 = \frac{16}{144}×100=\frac{100}{9}$ = $11\frac{1}{9}$% Hence, the correct answer is $11\frac{1}{9}$%.
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Question : A 45% profit is made when a discount of 45% is given on the marked price of an item. If the discount on the marked price of the same item is 50%, then the profit will be:
Option 1: $31 \frac{9}{11}$%
Option 2: $33 \frac{2}{11}$%
Option 3: $30\frac{7}{11}$%
Option 4: $31\frac{7}{11}$%
Question : A tradesman marks his goods at such a price that after allowing a discount of 31%, he makes a profit of 15%. What is the marked price of an article whose cost price is Rs. 3,420?
Option 1: Rs. 5,700
Option 2: Rs. 5,200
Option 3: Rs. 5,475
Option 4: Rs. 5,550
Question : A shopkeeper sells a table at a $25\%$ discount on the marked price and earns a profit of $70\%$. If he sells the same table at $50 \%$ discount, then his new profit percentage will be:
Option 1: $11 \frac{1}{3} \%$
Option 2: $12 \frac{1}{2} \%$
Option 3: $13 \frac{1}{3} \%$
Option 4: $13 \frac{1}{2} \%$
Question : The ratio of the cost price (CP) and marked price (MP) of an article is 4 : 7. A discount of 20% is given on MP and the shopkeeper makes a profit of INR 80. Find the CP of the article.
Option 1: INR 190
Option 2: INR 170
Option 3: INR 200
Option 4: INR 180
Question : The marked price of an item is 25% more than that of its cost price. If a discount of 10% is given on the marked price, then the gain percentage is:
Option 1: $10 \frac{1}{2}$%
Option 2: $9 \frac{1}{2}$%
Option 3: $13 \frac{1}{2}$%
Option 4: $12 \frac{1}{2}$%
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