Multiple choice

Rohan purchased a rare antique watch at successive discounts of 35% and 20%. He invests 25% of the cost price in restoring the watch and decides to sell it at a profit of 50%. However, due to high demand, he receives an offer from a collector to buy the watch at a price that is 10% higher than his intended selling price. If the printed price of the watch is Rs. 2,00,000, then what is the final sale price of the watch?

  1. Rs. 2,04,500

  2. Rs. 2,18,500

  3. Rs. 2,14,500

  4. Rs. 2,00,500
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Printed price = 2,00,000. After 35% and 20% discounts, CP = 2,00,000 * 0.65 * 0.80 = 1,04,000. Restoration cost = 25% of 1,04,000 = 26,000. Total cost = 1,30,000. Intended SP = 1,30,000 * 1.5 = 1,95,000. Final sale price = 1,95,000 * 1.1 = 2,14,500.

AI explanation

Rohan buys the watch at successive discounts of 35% and 20% on the printed price of Rs. 2,00,000, meaning his cost price is 0.65 times 0.80 times 2,00,000, equating to Rs. 1,04,000. He invests 25% of the cost price in restoration, adding Rs. 26,000 to make the total investment Rs. 1,30,000. He intends to sell it at a 50% profit, so his intended selling price is 1.5 times 1,30,000, resulting in Rs. 1,95,000. The collector buys it 10% higher than this price, making the final sale price 1.1 times 1,95,000, which equals Rs. 2,14,500.

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