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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