Multiple choice

Two tubelights, P and Q, were bought. Out of them, P cost Rs. 200 more than Q. P was sold at 60% profit and Q was sold at 60% loss. The difference between the selling prices of tubes P and Q was Rs. 1040. What was the cost price of tubelight Q?

  1. Rs. 3600

  2. Rs. 3500

  3. Rs. 600

  4. Rs. 700

  5. Rs. 800
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Q cost x, P cost x+200. SP_P = 1.6(x+200), SP_Q = 0.4x. Difference: 1.6x + 320 - 0.4x = 1040 => 1.2x = 720 => x = 600.

AI explanation

Let the cost price of tubelight Q be x, so the cost price of tubelight P is (x + 200). The selling price of P is 1.6(x + 200) and the selling price of Q is 0.4x. Using the difference equation, we write 1.6(x + 200) - 0.4x = 1040. Simplifying this yields 1.2x + 320 = 1040, so 1.2x = 720. Solving for x gives the cost price of tubelight Q as Rs. 600.

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