Multiple choice

On selling a air conditioner at 6% profit and a washing machine at 9% profit, a shopkeeper gains ₹ 5100. However, if the shopkeeper sells the air conditioner at 9 % profit and the washing machine at 6% loss, he gains ₹ 1800 on the whole transaction. The cost price of the washing machine is:

  1. ₹ 39000

  2. ₹ 37000

  3. ₹ 34000

  4. ₹ 30000

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

Let AC be cost of air conditioner and WM be cost of washing machine. First case: 0.06AC + 0.09WM = 5100. Second case: 0.09AC - 0.06WM = 1800. Multiplying first eq by 3 and second by 2, then adding eliminates AC: 0.45WM = 13500, so WM = 30000.