Multiple choice

Riya purchased two bicycles A and B at different prices. After selling them at discounts of 15% and 10%, respectively, she raised p% profit on bicycle A and l% loss on bicycle B. If the marked prices of both bicycles were same, then which of the following options could be the cost prices of the bicycles given that (p - l) = 3, where p and l are whole numbers?

  1. A - 5000, B - 7500

  2. A - 3500, B - 1500

  3. A - 3200, B - 5000

  4. A - 7500, B - 3500

  5. A - 6500, B - 7500
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP be C1 and C2. Selling prices are 0.85*MP and 0.9*MP. Profit/loss percentages are p = (0.85*MP/C1 - 1)*100 and l = (1 - 0.9*MP/C2)*100. Given p-l=3, testing the options shows that A=5000 and B=7500 satisfies the condition for whole numbers p and l.

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