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Let the cost of tea set=x & cost of lemon set=y
if he sells a tea set at 5% loss and lemon set at 15% gain.
loss on tea set = x*5/100
gain on lemon set = y*15/100
total gain =
15y/100-5x/100=7
15y -5x=700 ..........(1)
if he sells tea set at 5% gain and the lemon set at 10% gain, total gain = Rs. 13
5x/100+10y/100=13
10y+5x=1300.........(2)
on adding eq 1 & eq 2
15y-5x=700
10y+5x=1300
by elimination 5x will be cut
25y=2000
y=80
put this value in eq 1
15(80) -5×x=700
1200-5x=700
-5x=700-1200
-5x= -500
x=100
if he sells a tea set at 5% loss and lemon set at 15% gain.
loss on tea set = x*5/100
gain on lemon set = y*15/100
total gain =
15y/100-5x/100=7
15y -5x=700 ..........(1)
if he sells tea set at 5% gain and the lemon set at 10% gain, total gain = Rs. 13
5x/100+10y/100=13
10y+5x=1300.........(2)
on adding eq 1 & eq 2
15y-5x=700
10y+5x=1300
by elimination 5x will be cut
25y=2000
y=80
put this value in eq 1
15(80) -5×x=700
1200-5x=700
-5x=700-1200
-5x= -500
x=100
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Answer:X=100
Y=80
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