Two electronic musical instruments were purchased for Rs 9000. The first was…

20252024202520232025

Two electronic musical instruments were purchased for Rs 9000. The first was sold at a profit of 40% and the second at a loss of 40%. If the sale price was the same in both the cases, what was the cost price (in Rs) of the electronic musical instruments ?

  1. A.

    2400, 6600

  2. B.

    3300, 5700

  3. C.

    2700, 6300

  4. D.

    3000, 6000

Attempted by 46 students.

Show answer & explanation

Correct answer: C

Answer: 2700, 6300

Let the cost prices be x and 9000 − x.

  • Selling price of the first item (40% profit) = x × 1.4

  • Selling price of the second item (40% loss) = (9000 − x) × 0.6

  • Equate the two selling prices: x × 1.4 = (9000 − x) × 0.6

  • Solve: 1.4x = 5400 − 0.6x ⇒ 1.4x + 0.6x = 5400 ⇒ 2x = 5400 ⇒ x = 2700

  • Therefore the other cost = 9000 − 2700 = 6300

  • Check: First SP = 2700 × 1.4 = 3780; second SP = 6300 × 0.6 = 3780. Both equal, so the answer is correct.

Explore the full course: Infosys Preparation