InterviewSolution
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Ravish sold his motorcycle to Vineet at a loss of 28%. Vineet spent Rs 1680 on its repairs and sold the motor cycle to Rahul for Rs 35910, thereby making a profit of 12.5%, find the cost price of the motor cycle for Ravish. |
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Answer» Let us consider the cost price of motorcycle for Ravish be Rs x Loss% for Ravish = 28% Selling price for Ravish = x – x × 28/100 = (100x – 28x)/100 = 72x/100 = Rs 18x/25 Selling price for Ravish = cost price for Vineet = Rs 18x/25 Repair cost by Vineet = Rs 1680 Total cost price of the motorcycle for Vineet = Rs18x/25 + Rs 1680 Selling price for Vineet = Rs 35910 Profit = 35910 – (18x+42000)/25 = Rs (855750 – 18x)/25 Profit % = 12.5% (Given) By using the formula, Gain % = (gain/cost price) × 100 => [(855750-18x)/25] / [(18x+42000)/25] × 100 = 12.5 => [(855750-18x)/25] × [25/(18x+42000)] = 125/1000 => (855750-18x) / (18x+42000) = 1/8 => By cross multiplying we get => 8(855750-18x) = (18x+42000) => 6846000 – 144x = 18x + 42000 => 6846000 – 42000 = 18x + 144x => 162x = 6804000 x = 6804000/162 = 42000 ∴ Cost price of motorcycle for Ravish = Rs 42000 |
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