Multiple choice

Cost price of Object B is double the cost price of Object A and profit on both objects A and B is the same. Find the cost price of Object B, if the selling price of objects A and B are Rs. 250 and Rs. 315, respectively.

  1. Rs. 65

  2. Rs. 100

  3. Rs. 215

  4. Rs. 130

  5. Rs. 165
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP of A be x, CP of B be 2x. Profit = SP - CP. Profit A = 250 - x. Profit B = 315 - 2x. Since profits are equal: 250 - x = 315 - 2x. x = 65. CP of B = 2x = 130.

AI explanation

Let the cost price of object A be y, making the cost price of object B equal to 2y. Since the profit on both objects is the same (let it be x), the selling price of A is y + x = 250 and the selling price of B is 2y + x = 315. Subtracting the first equation from the second gives y = 65. The cost price of object B is 2y, which is 2 times 65, equaling Rs. 130.

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