Question

The total cost of 3 tv sets and 2 vcrs is rs 35000. The shopkeeper wants profit of 1000 per tv and 500 per vcr. He can sell 2 tv sets and 1 vcr and get total revenue of 21500. Find cost price and selling price of TV set and vcr​

Answer 1

Answer:

Step-by-step explanation:

Given  

The total cost of 3 televisions and 2 V.C.R.s is 35000. The shop-keeper wants 1000 per television and 500 per V.C.R.He can sell 2 televisions and 1 V.C.R.and he gets the total revenue as 21,500.Find the cost and the selling price of a television and a V.C.R.​

Let the cost price be x and y.

According to question  

3 x + 2 y = 35,000-------------1

Now shopkeeper wants profit of 1000 on TV and 500 on vcr. So selling price will be x + 1000 and y + 500

Selling price of 2 tv and 1 vcr is  

2(x + 1000) + 1(y + 500) = 21,500

2 x + 2000 + y + 500 = 21,500

2 x + y = 19,000---------------2

Solving 1 and 2 we get

3 x + 2 y = 35,000

2 x + y = 19,000  multiply by 2 we get

3 x + 2 y = 35,000

4 x + 2 y = 38,000

--------------------------

  -x = - 3000

   X = 3000

3(3000) + 2 y = 35,000

2 y = 35000 – 9000

2 y = 26,000

Y = 13,000