A person sold an article at a loss of 18%. Had he sold it for Rs960 more, he would have gained 12%· If the article is sold for
Rs3,840, then how much is the profit percentage'?
This questions was previously asked in
SSC CGL 11th April 2022 Shift-3
Explanation:
Let's break down the statements and solve step by step:
- Let the cost price be Rs x.
- Selling at 18% loss: SP1 = x - 0.18x = 0.82x.
- Selling at 12% gain: SP2 = x + 0.12x = 1.12x.
- Difference in selling prices: SP2 - SP1 = Rs 960.
- So, 1.12x - 0.82x = 0.30x = 960 ? x = 960 / 0.30 = Rs 3,200.
- If article sold for Rs 3,840, then profit = 3,840 - 3,200 = Rs 640.
- Profit percentage = (640 / 3,200) × 100 = 20%.
Reviewing the options:
- Option 1: 15% ?
- Option 2: 24% ?
- Option 3: 20%
- Option 4: 21% ?
Correct answer is: Option 3: 20%
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By: santosh