Multiple choice

A scooter and a motorcycle together cost Rs. 80000. If by selling the scooter at 10% profit and the motorcycle at 10% loss a total profit of 2.5% is made, what is the cost price of the scooter?

  1. Rs. 30000

  2. Rs. 60000

  3. Rs. 50000

  4. Rs. 20000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let scooter cost = S, motorcycle = M. S + M = 80000. Selling: scooter at 10% profit = 1.1S, motorcycle at 10% loss = 0.9M. Total selling price = 1.1S + 0.9M = 80000 × 1.025 = 82000. Substituting M = 80000 - S: 1.1S + 0.9(80000 - S) = 82000. 1.1S + 72000 - 0.9S = 82000. 0.2S = 10000. S = 50000. Scooter cost is Rs. 50000. Option C is correct.

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