Step-by-step explanation:

Given:-

The TOTAL cost of 3 TV sets and 2 V.C.R.sis Rs. 35000. The shop-keeper wants profit of

1000 PER television and Rs. 500 per V.C.R. He can sell 2 T. V. sets and 1 V.C.R. and get the

total revenue as Rs. 21,500.

To FIND:-

Find the cost price and the selling price of a T.V. sets and a V.C.R.

Solution:-

Let the cost price of the TV set be Rs. X

Let the cost price of the VCR system be Rs. Y

The total cost of 3 TV sets and 2 V.C.R.

= Rs. 35000.

=>3X +2Y = 35000 -----------------(1)

Wanted Profit on each TV set = Rs. 1000

Selling Price of TV set be Rs. (X+1000)

Wanted Profit on each VCR = Rs. 500

Selling Price of VCR be Rs .(Y+500)

According to this profits

He can sell 2 T. V. sets and 1 V.C.R. and get the

total revenue as Rs. 21,500.

=>2(X+1000) + (Y+500) = 21500

=>2X+2000 + Y +500 = 21500

=>2X+Y+2500 = 21500

=>2X+Y = 21500-2500

2X+Y = 19000----------(2)

On multiplying the equation (2) with 2 then

4X+2Y = 38000 --------(3)

On Substituting (1) from (3)

4X+2Y = 38000

3X +2Y = 35000

(-)

_______________

X+0 = 3000

_______________

X = 3000

The Cost Price of TV set = Rs. 3000

On Substituting the VALUE of X in (2) then

2(3000)+Y = 19000

=>6000+Y = 19000

=>Y = 19000-6000

=>Y = 13000

The Cost Price of VCR = Rs. 13000

Selling Price of TV set = 3000+1000 = 4000

Selling Price of VCR = 13000+500=13500

Answer:-

The Cost Price of TV set = Rs. 3000

The Cost Price of VCR = Rs. 13000

The Selling Price of TV set = Rs. 4000

The Selling Price of VCR = Rs. 13500