Multiple choice

Akash bought a Sopha for Rs. 50,000. After one year he sold it to Bhuvan at 10% less of his cost price. Bhuvan spends extra Rs.600 for its repair. And offered Sopha to Charan for Rs.X. Charan requested to get a discount of 15% on that price. But Bhuvan gave him two successive discounts of 10% and 5% instead of 15%.By this Bhuvan got Rs.300 more from Charan. What is the profit % of Bhuvan?

  1. 10%

  2. 12.5%

  3. 15%

  4. 20%

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Akash cost = 50,000. Bhuvan cost = 45,000 + 600 = 45,600. Bhuvan sells to Charan. Successive discounts of 10% and 5% on X = 0.9 * 0.95 * X = 0.855X. 15% discount on X = 0.85X. Difference = 0.005X = 300. X = 60,000. Selling price = 0.855 * 60,000 = 51,300. Profit = 51,300 - 45,600 = 5,700. Profit % = 5,700 / 45,600 = 12.5%.

AI explanation

Bhuvan's cost price is the 10% reduced price of 50000 plus the 600 repair cost, which totals 45600. The difference between a flat 15% discount and successive discounts of 10% and 5% is 0.5% of the offered price X, which equals 300; therefore, X equals 60000. Charan's final buying price is 60000 times 0.90 times 0.95 which equals 51300. Using the profit percentage formula, Bhuvan's profit percent is (51300 minus 45600) divided by 45600 times 100, resulting in 12.5%.

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