Question

12 beds and 6 pillows cost RS 4000, 8 beds
10 pillows cost Rs4000. Determine
the cost of each bed and each pillows.​

Answer 1

Cost of 12 beds and 6 pillows = ₹4000

Divide by 3.

Cost of 4 beds and 2 pillow = ₹4000/3 (eqn 1)

Cost of 8 beds and 10 pillows = ₹4000

Divide by 2

Cost of 4 beds and 5 pillows = ₹2000 (eqn 2)

Subtract eqn 1 from eqn 2.

Cost of 3 pillows = ₹(2000-4000/3) = ₹2000/3

Cost of 1 pillow = ₹(2000/3)/3 = ₹2000/9 = ₹222.22 (eqn 3)

Put value from eqn 3 into eqn 1.

Cost of 4 beds + 2(₹2000/9) = ₹4000/3

Cost of 4 beds + ₹4000/9 = ₹4000/3

Cost of 4 beds = ₹4000/3 - ₹4000/9 = ₹8000/9

Divide by 4.

Cost of 1 bed = ₹8000/9/4 = ₹2000/9 = ₹222.22