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A trader allows a discount of 5% to his customers. What price should he mark on an article the cost price of which is Rs.712.50 so as to, make a clear profit of 33 1/3 % on his outlay?

Question

A trader allows a discount of 5% to his customers. What price should he mark on an article the cost price of which is Rs.712.50 so as to, make a clear profit of 33 1/3 % on his outlay?

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Solution

Step 1: Calculate the profit amount The trader wants to make a clear profit of 33 1/3 % on his outlay. So, the profit on the cost price of Rs.712.50 would be (33 1/3 / 100) * 712.50 = Rs.237.50

Step 2: Calculate the selling price The selling price would be the cost price plus the profit. So, the selling price would be 712.50 + 237.50 = Rs.950

Step 3: Calculate the marked price The trader allows a discount of 5% to his customers. So, the marked price should be such that even after giving the discount, the trader should get the selling price. Let's assume the marked price is Rs.X. So, X - 5% of X = Selling price => X - 0.05X = 950 => 0.95X = 950 => X = 950 / 0.95 => X = Rs.1000

So, the trader should mark Rs.1000 on the article.

This problem has been solved

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