answerOn selling an article for rupees 800, a person loses 20% of its selling price. At what price should be sell it to gain 25% on its cost price?
Question
answerOn selling an article for rupees 800, a person loses 20% of its selling price. At what price should be sell it to gain 25% on its cost price?
Solution
Sure, let's solve this step by step:
Step 1: The person sells the article for 800 rupees and incurs a loss of 20%. This means that 800 rupees represents 80% of the cost price (because 100% - 20% = 80%).
Step 2: To find the cost price, we can set up the equation: 80/100 * Cost Price = 800. Solving for Cost Price, we get Cost Price = 800 / (80/100) = 1000 rupees.
Step 3: Now, the person wants to sell the article to gain 25% on its cost price. So, the selling price should be 125% of the cost price (because 100% + 25% = 125%).
Step 4: To find the new selling price, we can set up the equation: 125/100 * Cost Price = Selling Price. Substituting the cost price we found earlier, we get Selling Price = 125/100 * 1000 = 1250 rupees.
So, the person should sell the article for 1250 rupees to gain a 25% profit on its cost price.
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