Multiple choice

Anshika bought two hens for Rs 2600. She sold one at a loss of 5% and the other at a gain of 8%. What will be the cost price of each hen respectively if she faced neither loss nor gain in this transaction?

  1. 1600, 1000

  2. 1360, 840

  3. 1240, 9600

  4. 1080, 1520
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total CP = Rs 2600. Let CPs be x and y, x+y=2600. Loss 5% on x means SP = 0.95x. Gain 8% on y means SP = 1.08y. No net profit/loss means 0.95x + 1.08y = 2600. Substituting y = 2600-x: 0.95x + 1.08(2600-x) = 2600. 0.95x + 2808 - 1.08x = 2600. -0.13x = -208. x = 1600. y = 1000. Option A correct.

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