Question

On selling a tea set at 5% loss and a lemon set at 15%gain,a shopkeeper gains 70 rupees.If he sells the tea set at 5% gain and the Lemon set at10% gain,he gains 130 rupees.Find the CP of the lemon set.

Answer 1

Let the cost of tea set be Rs.'x' and the cost of lemon set be Rs 'y'
The shopkeeper sells a tea set at 5% loss and a lemon set ate 15% gain
So,the loss on tea set =x×5/100
And the gain on lemon set =y×15/100
Total gain = 15y/100-5x/100=70
15y-5x=7000
Dividing it by 5,we get
3y-x=1400
-x+3y=1400.......... (1)
If he sells the tea set at 5% gain and the lemon set at 10%gain ,he gains Rs.130
5x/100+10y/100=130
5x+10y=13000
Dividing it by 5,we get
x+2y=2600........ (2)
Adding (1) and (2) we get
-x+3y =1400
x+2y=2600
_________
5y=4000
_________
y=4000/5
y=800
Substituting the value of y=800 in (2)we get
x+2y =2600
x+2×800=2600
x+2600-1600
x=1000
So,the cost price of tea set is Rs.1000 and the cost price of lemon set is Rs.800