The total cost of 3 televisions and 2 V.C.R is Rs 35000. The shopkeeper wants a profit of Rs 1000 per television and Rs 500 per V.C.R. He can sell a television and 1 v.c.r and he get the total revenue as Rs 21500. Find the cost and the selling price of a television and V.C..R.

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Solution

Let cost price be $x$ and $y$
According to question
$3 x + 2 y = 35000.... (1)$
selling price will be $x + 1000$ and $y + 500$
Selling price of $2 + v$ and $I V C R$ is
$2 (x + 1000) + 1 (y + 500) = 21500$
$2 x + 2000 + y + 500 = 21500$
$2 x + y = 12000 . . . (2)$
Solving $(1)$ and $(2)$
$3 x + 2 y = 35000$
$2 x + y = 19000$ multiply by $2$ we get
$3 x + 2 y = 35000$
$4 x + 2 y = 38000$
$- x = - 3000$
$x = 3000$
$3 (3000) + 2 y = 35000$
$2 y = 35000 - 9000$
$2 y = 36000$
$y = 13000$

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