A man gains 15% by selling a calculator for a certain price. If he sells it at the triple the price, then what will be the profit percentage?Options125175225245
Question
A man gains 15% by selling a calculator for a certain price. If he sells it at the triple the price, then what will be the profit percentage?Options125175225245
Solution
The problem states that a man gains a profit of 15% by selling a calculator at a certain price. Let's denote this price as P.
Step 1: Calculate the cost price of the calculator. If the selling price is P and the profit is 15%, then the cost price (C) of the calculator can be calculated as follows: C = P / (1 + 15/100) = P / 1.15
Step 2: Calculate the new selling price. The problem states that the man sells the calculator at triple the price, so the new selling price (S) is: S = 3P
Step 3: Calculate the new profit. The profit is the selling price minus the cost price, so the new profit (Pr) is: Pr = S - C = 3P - P / 1.15
Step 4: Calculate the new profit percentage. The profit percentage is the profit divided by the cost price, multiplied by 100, so the new profit percentage (Pr%) is: Pr% = (Pr / C) * 100 = ((3P - P / 1.15) / (P / 1.15)) * 100
Solving this equation will give you the new profit percentage.
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