Question

A dealer bought a TV set and music system for rs. 50000. He sold TV set at a gain of 20% and music system at a loss of 10%. He gained 2% on the whole. Find the cp of TV set

Answer 1

Answer:

Rs 20000

Step-by-step explanation:

Let say Cost Price of TV =  C   Rs

Cost Price of Music System = 50000 - C  rs

TV set sold at a gain of 20%

gain = (20/100)C = 0.2C

TV Set Selling Price = C + 0.2C = 1.2C  Rs

music system sold at a loss of 10%.

Loss = (10/100)(50000 - C)  = 5000 - 0.1C

Music System Selling Price = 50000 - C  - (5000 - 0.1C)

= 45000 - 0.9C

Total Selling Price = 1.2C + 45000 - 0.9C  = 45000 + 0.3C

gained 2% on the whole.

Gain = (2/100) * 50000 = 1000

Total Selling Price = 50000 + 1000 = 51000 Rs

45000 + 0.3C = 51000

=> 0.3C = 6000

=> C = 20000

cp of TV set  = Rs 20000