To earn a 12% profit, a shopkeeper sells a television for Rs 22,400. What should be the selling price (in Rs) of the television if he wants a double profit?
This questions was previously asked in
ssc cgl 2023 pre
Explanation:
- The shopkeeper sells the television for Rs 22,400 at a 12% profit.
- This means the cost price \( (CP) \) of the television is calculated as follows:
- \( \text{Selling Price (SP)} = \text{CP} + 0.12 \times \text{CP} \)
- \( 22,400 = 1.12 \times \text{CP} \)
- \( \text{CP} = \frac{22,400}{1.12} = 20,000 \)
- To find the selling price for a 24% profit (double the profit), we calculate:
- \( \text{SP} = \text{CP} + 0.24 \times \text{CP} \)
- \( \text{SP} = 20,000 + 0.24 \times 20,000 \)
- \( \text{SP} = 20,000 + 4,800 = 24,800 \)
- Option:1, 24,000 - Incorrect. This does not reflect a 24% profit.
- Option:2, 24,800 - Correct. This reflects a 24% profit or double the original profit.
- Option:3, 24,600 - Incorrect. Close but not the correct profit percentage.
- Option:4, 25,000 - Incorrect. Higher than needed for a 24% profit.
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