Question
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A retailer purchased a mobile for Rs 3,250 and sold it at \( 4 \% \) loss. \( \begin{array}{ll}\text { (i) Find his loss amount. } & \text { (ii) At what price did he sell the mobile? }\end{array} \)

Ask by Johnston Turnbull. in Nepal
Jan 21,2025

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Answer

**Loss Amount:** ₹ 130 **Selling Price:** ₹ 3,120

Solution

Let's solve each part step by step. ### Given: - **Cost Price (CP)** of the mobile = ₹ 3,250 - **Loss Percentage** = 4% ### (i) Find his loss amount. The **loss amount** can be calculated using the formula: \[ \text{Loss Amount} = \text{Cost Price} \times \frac{\text{Loss Percentage}}{100} \] Substituting the given values: \[ \text{Loss Amount} = 3,250 \times \frac{4}{100} = 3,250 \times 0.04 = ₹ 130 \] **Answer:** The loss amount is ₹ 130. --- ### (ii) At what price did he sell the mobile? The **Selling Price (SP)** can be determined by subtracting the loss amount from the cost price: \[ \text{Selling Price} = \text{Cost Price} - \text{Loss Amount} \] Substituting the calculated loss amount: \[ \text{Selling Price} = 3,250 - 130 = ₹ 3,120 \] **Answer:** The mobile was sold for ₹ 3,120.

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To find the loss amount, we calculate \( 4\% \) of the purchase price, which is \( 4\% \) of Rs 3,250. This amounts to Rs 130. Therefore, the loss amount is Rs 130. Now, to find the selling price, we subtract the loss from the original price: \( 3,250 - 130 = 3,120 \). Thus, the mobile was sold for Rs 3,120.

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