Multiple choice

A person sells his table at a profit of 25% and the chair at a loss of 20% but on the whole he gains Rs. 18. on the other hand if he sells the table at a loss of 20% and the chair at a profit of 25% then he neither gains nor loses. Find the cost price of the table and chair

  1. 200 , 160

  2. 160 , 200

  3. 250 , 180

  4. 210 , 170

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

Case 1: Table at 25% profit, Chair at 20% loss, gain Rs.18. Case 2: Table at 20% loss, Chair at 25% profit, no gain/loss. From Case 2: 0.8T + 1.25C = T + C, so 0.2T = 0.25C, T = 1.25C. From Case 1: 1.25T + 0.8C = T + C + 18. Substituting T = 1.25C: 1.25(1.25C) + 0.8C = 1.25C + C + 18, so 1.5625C + 0.8C = 2.25C + 18, 2.3625C = 2.25C + 18, 0.1125C = 18, C = 160. Then T = 1.25 × 160 = 200. Option A (200, 160) is correct.