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The price of a sweater was slashed from ...

The price of a sweater was slashed from Rs. 960 to Rs. 816 by a shopkeeper in the winter season. Find the rate of discount given by him.

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To find the rate of discount given by the shopkeeper, we can follow these steps: ### Step 1: Identify the Original Price and the Selling Price - The original price of the sweater (marked price) is Rs. 960. - The selling price after the discount is Rs. 816. ### Step 2: Calculate the Discount Amount - The discount amount can be calculated using the formula: \[ \text{Discount} = \text{Original Price} - \text{Selling Price} \] - Substituting the values: \[ \text{Discount} = 960 - 816 = 144 \] - So, the discount amount is Rs. 144. ### Step 3: Calculate the Rate of Discount - The rate of discount can be calculated using the formula: \[ \text{Rate of Discount} = \left( \frac{\text{Discount}}{\text{Original Price}} \right) \times 100 \] - Substituting the values: \[ \text{Rate of Discount} = \left( \frac{144}{960} \right) \times 100 \] - Simplifying the fraction: \[ \text{Rate of Discount} = 0.15 \times 100 = 15\% \] ### Final Answer The rate of discount given by the shopkeeper is **15%**. ---
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