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The marked price of an article is 60% more than its cost price. What should be the discount (in %) offered by the shopkeeper so that he earns a Profit of 12%?
Options:
12
25
30
60
Let's break down the problem step by step:
- Cost Price (CP): Let's assume the cost price of the article is $100.
- Marked Price (MP): The marked price is 60% more, so MP = $100 + 60% of $100 = $160.
- Desired Selling Price (SP): To earn a 12% profit, the selling price should be 112% of the cost price, i.e., 112% of $100 = $112.
- Discount Required: The discount is the difference between the Marked Price and the Selling Price, i.e., $160 - $112 = $48.
- Discount Percentage:
$$
\left( \frac{\text{Discount}}{\text{Marked Price}} \right) \times 100 = \left( \frac{48}{160} \right) \times 100 = 30\%
Based on the calculations:
- Option 1: 12% – Too low
- Option 2: 25% – Not enough
- Option 3: 30% – Correct
- Option 4: 60% – Too high
By: Kamal Kashyap ProfileResourcesReport error
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