Multiple choice

Cost price of two motorcycles is same. One is sold at a profit of 15% and the other for Rs. 4800 more than the first. If the net profit is 20%. Find the cost price of each motorcycle?

  1. 48000

  2. 49000

  3. 50000

  4. 51000
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A Correct answer
Explanation

Let CP be x. SP1 = 1.15x. SP2 = 1.15x + 4800. Total SP = 2.3x + 4800. Total CP = 2x. Profit = 20% of 2x = 0.4x. Total SP = 2.4x. 2.3x + 4800 = 2.4x => 0.1x = 4800 => x = 48000.

AI explanation

Let the cost price of each motorcycle be x. The selling price of the first motorcycle is 1.15x, making the selling price of the second motorcycle 1.15x + 4800. The combined cost price for both is 2x, and a 20 percent net profit means the combined selling price must be 1.20 times 2x, which is 2.4x. Setting up the equation, 1.15x + 1.15x + 4800 equals 2.4x. Solving 2.3x + 4800 = 2.4x gives x = 48000. The cost price of each motorcycle is 48000.

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