Multiple choice

The cost price of a pencil is Rs 8 less than that of pen. When the pen is sold at 50% profit and pencil is sold at 150% profit it is found that the selling price of both is same. Find the cost price of pen.

  1. Rs. 20

  2. Rs. 24

  3. Rs. 25

  4. Rs. 16

  5. Rs. 15
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A Correct answer
Explanation

Let CP of pen be x, CP of pencil be x-8. SP of pen = 1.5x. SP of pencil = 2.5(x-8). 1.5x = 2.5x - 20. 1.0x = 20. CP of pen = 20.

AI explanation

Let the cost price of the pen be x, making the cost price of the pencil (x - 8). Based on the given profit percentages, the selling price of the pen is 1.5x and the selling price of the pencil is 2.5(x - 8). Equating the equal selling prices gives the equation 1.5x = 2.5x - 20, which simplifies to x = 20. The cost price of the pen is Rs. 20.

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