Multiple choice

A person purchased a cupboard and a cot for Rs. 18,000. He sold the cupboard at a profit of 20% and the cot at a profit of 30%. If his total profit was 25%. Find the cost price of the cupboard.

  1. Rs. 6700

  2. Rs. 7000

  3. Rs. 7100

  4. Rs. 7300

  5. Rs. 9000

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

Let cupboard price = C, cot price = T. C + T = 18000. Profit = 0.20C + 0.30T = 0.25×18000 = 4500. So 0.20C + 0.30(18000-C) = 4500, which simplifies to 0.20C + 5400 - 0.30C = 4500. This gives -0.10C = -900, so C = 9000. Answer is E.