A shopekeeper earns 25% profit, if he sells an article at 10% discount on the marked price Rs2,500. Find his profit.
This questions was previously asked in
SSC MTS 2nd Nov 2021 Shift-1
Explanation:
To determine the shopkeeper's profit, follow these steps:
- Marked Price (MP): Rs 2,500
- Discount Offered: 10% of MP
\[ \text{Discount} = \frac{10}{100} \times 2500 = Rs 250 \]
- Selling Price (SP): MP minus Discount
\[ \text{SP} = 2500 - 250 = Rs 2,250 \]
- Profit Percentage: 25%
This profit percentage is based on the cost price (CP).
- Determine Cost Price (CP):
Profit = Selling Price - Cost Price
Let CP be \( x \).
\[ \frac{25}{100} \times x = 2250 - x \]
Solving:
\[ 0.25x = 2250 - x \]
\[ 1.25x = 2250 \]
\[ x = \frac{2250}{1.25} = Rs 1,800 \]
- Actual Profit:
\[ \text{Profit} = 2250 - 1800 = Rs 450 \]
- Answer choice 1: Rs 450 is correct.
The correct answer is Option 1: Rs 450.
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