Q. 464.4( 14 Votes )
On selling a tea set at 5% loss and a lemon set at 15% gain, a crockery seller gains Rs. 7. If he sells the tea set at 5% gain and the lemon set at 10% gain, he gains Rs. 13. Find the actual price of each of the tea set and the lemon set.
Answer :
Let the actual price of each of the tea set and the lemon set be Rs. x and Rs. y respectively.
According to question -
[ Selling price of tea set(Loss = 5%) + Selling Price of lemon Set(Profit = 15%) ] - [ cost price of tea set + cost price of lemon set ] = Rs. 7
⇒ - 5x + 15y = 700
⇒ - x + 3y = 140.....(1)
and,
[ Selling price of tea set(Profit = 5%) + Selling Price of lemon Set(Profit = 10%) ] - [ cost price of tea set + cost price of lemon set ] = Rs. 13
⇒ 5x + 10y = 1300
⇒ x + 2y = 260.....(2)
Adding equations (1) and (2), we get -
5y = 400
∴ y = 80
Substituting the value of in equation (2), we get -
x = 100
Thus, the cost of tea set = Rs. 100 and the cost of lemon tea = Rs. 80.
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Solve the following pair of linear equation by cross - multiplication method:
x + 4y + 9 = 0
5x – 1 = 3y
KC Sinha - Mathematics