Multiple choice

In each of the following question, a question is followed by information given in two statement named as Quantity-I (Q1) and Quantity –II (Q2). You have to study the information and compare the value derived from Quantity-I and Quantity-II. Then answer - Amazon listed two headphones for Rs. 476. One of the headphones was sold at a loss of 25% and the other at a gain of 29% and the company found that each headphone was sold at the same price. Quantity I: The cost price of the headphone which was sold at 29% profit. Quantity II: The selling price of the headphone which was sold at 25% loss.

  1. Quantity I > Quantity II

  2. Quantity I < Quantity II

  3. Quantity I ≥ Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or no relation can be established.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the cost prices be x (sold at 25% loss) and y (sold at 29% profit). Both sell at the same price, so 0.75x = 1.29y = SP. Also x + y = 476. From 0.75x = 1.29y, we get x = 1.72y. Substituting: 1.72y + y = 476, so 2.72y = 476, giving y ≈ 175. Then x = 476 - 175 = 301. Quantity I: CP of profit headset = y ≈ 175. Quantity II: SP of loss headset = 0.75x = 0.75 x 301 ≈ 226. Comparing: 175 < 226, so Quantity I < Quantity II.

Keep practicing — related questions