Multiple choice

The sum of the cost prices of two bikes is Rs. 77,000. The first bike is sold at a profit of 12.5% and the second bike is sold at a loss of 20%. However, their selling price is same. How much is the cost price of first bike less than that of the second bike?

  1. Rs. 12,000

  2. Rs. 13,000

  3. Rs. 14,000

  4. Rs. 15,000

  5. Rs. 13,500
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let C1, C2 be cost prices. C1 + C2 = 77000. Selling prices: 1.125 * C1 = 0.8 * C2. C2 = 1.125/0.8 * C1 = 1.40625 * C1. C1 + 1.40625 * C1 = 77000 => 2.40625 * C1 = 77000 => C1 = 32000. C2 = 45000. Difference = 45000 - 32000 = 13000.

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