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Prakash sells ready-made shirts. He purchased 160 shirts from a company outlet at x per shirt. If he sells 20% of the shirts at 15% profit and 37.5% of the remaining shirts at 40% profit, at what profit percentage should he sell the remaining to make a profit of 25% on the whole?
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Prakash sells ready-made shirts. He purchased 160 shirts from a compan...
Prakash's Profit Calculation
Prakash purchased 160 shirts at x per shirt and aims to make a profit of 25% on the whole. Let's break down how he should sell the shirts to achieve this goal:

Selling Strategy:
- Prakash sells 20% of the shirts at a 15% profit.
- He sells 37.5% of the remaining shirts at a 40% profit.
- He needs to determine the profit percentage at which he should sell the remaining shirts to achieve a total profit of 25%.

Calculations:
1. Prakash sells 20% of 160 shirts, which is 32 shirts, at a 15% profit.
- Profit per shirt = 15% of x
- Total profit = 32 * (15% of x)
2. He then sells 37.5% of the remaining shirts, which is (100 - 20 - 37.5)% = 42.5% of 160 shirts, at a 40% profit.
- Profit per shirt = 40% of x
- Total profit = 68 * (40% of x)
3. To make a total profit of 25%, the sum of profits from the first two steps should be 25% of the total cost.
- Total cost = 160 * x
- Total profit = 160 * 25% of x

Profit Equation:
Total profit = Profit from first sale + Profit from second sale + Profit from remaining sales
160 * 25% of x = 32 * (15% of x) + 68 * (40% of x) + Remaining shirts profit
Solving this equation will give the profit percentage at which Prakash should sell the remaining shirts to achieve a total profit of 25%.
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Prakash sells ready-made shirts. He purchased 160 shirts from a company outlet at x per shirt. If he sells 20% of the shirts at 15% profit and 37.5% of the remaining shirts at 40% profit, at what profit percentage should he sell the remaining to make a profit of 25% on the whole?
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Prakash sells ready-made shirts. He purchased 160 shirts from a company outlet at x per shirt. If he sells 20% of the shirts at 15% profit and 37.5% of the remaining shirts at 40% profit, at what profit percentage should he sell the remaining to make a profit of 25% on the whole? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Prakash sells ready-made shirts. He purchased 160 shirts from a company outlet at x per shirt. If he sells 20% of the shirts at 15% profit and 37.5% of the remaining shirts at 40% profit, at what profit percentage should he sell the remaining to make a profit of 25% on the whole? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Prakash sells ready-made shirts. He purchased 160 shirts from a company outlet at x per shirt. If he sells 20% of the shirts at 15% profit and 37.5% of the remaining shirts at 40% profit, at what profit percentage should he sell the remaining to make a profit of 25% on the whole?.
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