Multiple choice

Aman marked his bike 40% above cost price and sold it to Arun after two consecutive discounts of 10% and 20%. In this transaction Aman made a profit of Rs.416. Find the profit earned by Arun if he sold thebike to Alok at a profit of 12%?

  1. Rs. 6901.98

  2. Rs. 6289.92

  3. Rs. 7250.23

  4. Rs. 6670.74

  5. Rs. 6115.85
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP = 100. Marked Price = 140. After 10% and 20% discounts: 140 * 0.9 * 0.8 = 100.8. Profit = 0.8 units = 416. 1 unit = 520. CP = 52,000. Selling Price to Arun = 52,416. Arun sells at 12% profit: 52,416 * 1.12 = 58,705.92. Profit = 58,705.92 - 52,416 = 6,289.92.

AI explanation

Let the cost price for Aman be 100x, making his marked price 140x. After consecutive discounts of 10% and 20%, Arun's cost price is 140x times 0.90 times 0.80, which equals 100.8x. Since Aman makes a profit of 416, we solve 100.8x minus 100x equals 416 to find x equals 520, making Arun's cost price 52416. Arun sells the bike to Alok at a 12% profit, so his profit is 52416 times 0.12, which equals Rs. 6289.92.

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