The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 50 % profit ?
Explanation:
- The cost price (CP) of the article is not given directly, but we can find it using the given information about profit and loss.
- Let the cost price be Rs. X.
- Selling the article for Rs. 1920 gives a percentage profit equal to selling it for Rs. 1280 results in the same percentage loss.
- Mathematically, X + (1920 - X)/X * 100 = (X - 1280)/X * 100.
- Solving the equation, we find X = Rs. 1600.
- To find the selling price for a 50% profit, calculate: Selling Price = CP + 50% of CP = 1600 + 0.5 * 1600 = 2400.
- 2400
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By: sunny bhonsle