After allowing a discount of 15%, the value of a washing machine is Rs 29.750. If no discount is allowed, then the shopkeeper gains 12%. The cost price of the washing machine is :
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ssc cgl 2023 pre
Rs 31,500
Incorrect AnswerExplanation:
- Discounted Price & Original Selling Price: The washing machine's value after a 15% discount is Rs 29,750.
- Calculation of Original Price: The original selling price can be calculated as \( \frac{29,750}{0.85} = 35,000 \).
- Selling Price & Profit: Without discount, the machine's selling price is Rs 35,000 with a 12% gain.
- Cost Price Calculation: Using the formula: \(\text{Cost Price} = \frac{\text{Selling Price}}{1 + \text{Profit Percentage}}\), we substitute: \(\text{Cost Price} = \frac{35,000}{1.12} = 31,250\).
- Option 1: Rs 31,250
- Option 2: Rs 31,500
- Option 3: Rs 31,750
- Option 4: Rs 32,000
- Correct Answer: Option 1 - Rs 31,250
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By: Parvesh Mehta