Multiple choice

The cost price of 2 mobiles taken together is Rs. 8400. If, by selling one at a profit of 20% and the other at a loss of 12%, there is no loss or gain in the whole transaction, then the CP of two mobiles is

  1. Rs. 4500 and Rs. 5500

  2. Rs. 1500 and Rs. 3500

  3. Rs. 3150 and Rs. 5150

  4. Rs. 3150 and Rs. 5250

  5. Rs. 3510 and Rs. 5520
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP1 = x, CP2 = 8400 - x. 0.2x = 0.12(8400 - x). 0.2x = 1008 - 0.12x. 0.32x = 1008. x = 3150. CP2 = 8400 - 3150 = 5250.

AI explanation

Since there is no net loss or gain, the profit from the first mobile must equal the loss from the second mobile, giving the equation where 20% of the first cost price equals 12% of the second cost price. This simplifies to a ratio where the first cost price divided by the second cost price equals 12 divided by 20, or 3 to 5. Given the total cost is Rs. 8400, the individual cost prices are 3 parts and 5 parts of the total 8 parts, resulting in values of Rs. 3150 and Rs. 5250.

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