Multiple choice

A person bought two tables for Rs 2200. He sells one at 5% loss and the other at 6% profit and thus on the whole he neither gains nor loses. Find the cost price of each table.

  1. 1300, 900

  2. 1220, 980

  3. 1200, 1000

  4. 1400, 800

  5. None of these

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let cost prices be x and y, with x+y=2200. Selling at 5% loss gives 0.95x, and 6% profit gives 1.06y. For no gain/loss: 0.95x+1.06y=x+y, so -0.05x+0.06y=0, meaning 0.06y=0.05x, or x/y=6/5. With x+y=2200, x=(6/11)×2200=1200, y=(5/11)×2200=1000. Verification: 0.95×1200+1.06×1000=1140+1060=2200. ✓