Multiple choice

A shopkeeper marks an article 40% above its cost price. He offers a two-stage discount — first a 10% discount, and then an additional 5% discount. Find his overall profit percentage if the cost price is ₹200.

  1. 26.8%

  2. 30%

  3. 25.4%

  4. 19.7%

  5. 14.5%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

CP = 200. Marked Price = 200 * 1.4 = 280. First discount 10%: 280 * 0.9 = 252. Second discount 5%: 252 * 0.95 = 239.4. Profit = 239.4 - 200 = 39.4. Profit % = (39.4 / 200) * 100 = 19.7%.

AI explanation

The cost price is 200 rupees, and the marked price is set 40 percent above it, resulting in a marked price of 1.40 multiplied by 200, which equals 280 rupees. The final selling price is calculated by applying successive discounts of 10 percent and 5 percent to the marked price, so the selling price is 280 multiplied by 0.90 and then by 0.95, resulting in 239.40 rupees. The profit is 239.40 minus 200, which equals 39.40 rupees. Using the profit percentage formula, the overall profit percentage is (39.40 divided by 200) multiplied by 100, resulting in 19.7 percent.

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