Multiple choice

James bought a 100-gram silver coin for Rs. 's'. He then paid Rs. 3500 to a jewelry maker to convert the silver coin into the bracelet, and marked the price of bracelet 90% above the cost price. Later, he gave two consecutive discounts of 10% and 20% to his friend Gautam, who wanted to buy the bracelet, and still managed to make the profit of Rs. 2760. What is the value of 's'?

  1. 3500

  2. 4200

  3. 4000

  4. 3870

  5. 5780
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Cost = s + 3500. Marked price = 1.9 * (s + 3500). Selling price after discounts: 1.9 * (s + 3500) * 0.9 * 0.8 = 1.9 * 0.72 * (s + 3500) = 1.368 * (s + 3500). Profit = SP - CP = 0.368 * (s + 3500) = 2760. s + 3500 = 2760 / 0.368 = 7500. s = 4000.

AI explanation

Let the total cost price be (s + 3500), making the marked price 1.9 times this amount. The final selling price after the two successive discounts of 10% and 20% is Marked Price x 0.9 x 0.8 = Marked Price x 0.72. Since the profit is Rs. 2760, the selling price equals the cost price plus 2760, so (s + 3500) x 1.9 x 0.72 = (s + 3500) + 2760. Simplifying the left side gives (s + 3500) x 1.368 = s + 6260, so 1.368s + 4788 = s + 6260. Solving for s gives 0.368s = 1472, which results in s = 4000.

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