Multiple choice

Arush purchased a car from a showroom for Rs. 5 lakhs. He sold it to Pritam at a loss of 15%, who sold it to Chintan at a loss of 10%, who sold it to Deepak at a loss of 18%, who sold it to Arhaan at a profit of 11%. Find Arhaan's cost price.

  1. Rs. 3,52,802.40

  2. Rs. 3,47,052.50

  3. Rs. 3,48,151.50

  4. Rs. 3,62,315.10

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

The cost price changes sequentially: 5,00,000 * 0.85 * 0.90 * 0.82 * 1.11. Calculating this: 5,00,000 * 0.85 = 4,25,000; 4,25,000 * 0.90 = 3,82,500; 3,82,500 * 0.82 = 3,13,650; 3,13,650 * 1.11 = 3,48,151.50.

AI explanation

Using the successive percentage change formula, Arhaan's cost price equals the original price multiplied by the remaining percentage values for each transaction. The calculation is 500000 multiplied by 0.85, then 0.90, then 0.82, and finally by 1.11. This gives 500000 times 0.85 times 0.90 times 0.82 times 1.11, which equals Rs. 3,48,151.50.

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