Question : A trader allows a 40% discount on his goods, but he loses 30% on them. Find the percentage of the marked price above the cost price.
Option 1: $15\frac{2}{3}\%$
Option 2: $15 \frac{1}{3} \%$
Option 3: $16 \frac{2}{3} \%$
Option 4: $16 \frac{1}{3} \%$
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Correct Answer: $16 \frac{2}{3} \%$
Solution : Let the marked price (MP) be 100$x$ After a discount of 40%, the selling price = 60$x$ When a loss of 30% then, $\frac{70}{100}$ of cost price (CP) = 60$x$ ⇒ CP = $\frac{600x}{7}$ Difference in MP and CP = 100$x$ – $\frac{600x}{7}$ = $\frac{100x}{7}$ Mark up% = $\frac{\text{Mark up value}}{\text{CP}}$ × 100 = $\frac{\frac{100x}{7}}{\frac{600x}{7}}$ × 100 = $\frac{100}{6}$ = $16\frac{2}{3}\%$ Hence, the correct answer is $16\frac{2}{3}\%$.
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Question : A shopkeeper marks his goods at 90% more than their cost price and allows a discount of 40% on the marked price. His gain percentage is:
Option 1: 18%
Option 2: 16%
Option 3: 14%
Option 4: 12%
Question : A shopkeeper marks his goods at 80% more than their cost price and allows a discount of 48% on the marked price. His loss percentage is:
Option 1: $2\frac{1}{5}\%$
Option 2: $7\frac{3}{5}\%$
Option 3: $6\frac{2}{5}\%$
Option 4: $3\frac{1}{5}\%$
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: $12 \frac{1}{2}$%
Question : A tradesman marks his goods at 25% above the cost price. If he reduces the marked price by $12\frac{1}{2}\%$, then his profit will be:
Option 1:
$9\frac{3}{8}\%$
Option 3: $6\frac{3}{8}\%$
Option 4: $5\frac{1}{3}\%$
Question : A merchant increases the cost price of an item by 30% and offers a discount of 15% on this marked price. What is his profit percentage?
Option 1: 10.5%
Option 2: 8.2%
Option 3: 9.5%
Option 4: 11.4%
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