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