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A shopkeeper sold a TV set for ₹ 17940 at a discount of 8% and gained 19.6%. If no discount is allowed, what will be his gain percent? 30%24.8%36.4%25%

Question

A shopkeeper sold a TV set for ₹ 17940 at a discount of 8% and gained 19.6%. If no discount is allowed, what will be his gain percent? 30%24.8%36.4%25%

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Solution

Step 1: First, we need to find the cost price of the TV set. We know that the shopkeeper sold the TV set for ₹ 17940 at a discount of 8% and still made a profit of 19.6%. This means that the selling price after discount is 119.6% of the cost price.

So, we can set up the equation: 17940 = 119.6/100 * Cost price

Solving for Cost price gives us: Cost price = 17940 / (119.6/100) = ₹ 15000

Step 2: Now, if no discount is allowed, the selling price will be the marked price. We know that the marked price is 8% more than the selling price after discount. So, the marked price = 17940 / (92/100) = ₹ 19500

Step 3: Now, we can find the new profit percentage if no discount is allowed. The profit = Selling price - Cost price = 19500 - 15000 = ₹ 4500

So, the profit percentage = (Profit / Cost price) * 100 = (4500 / 15000) * 100 = 30%

So, if no discount is allowed, the shopkeeper's gain percent will be 30%.

This problem has been solved

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