Varun purchased two TV sets for 30000. He sold one at a loss of 15% and the other at a gainof 10%. The selling price in both the cases was the same. Find the cost price of each TV set.
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Let costs be x,y.
One is loss of 15%=>s.p=c.p-15/100*c.p.
Next one is 10% gain=>s.p=cp+10/100*cp
Both selling price is equal,
We have considered 1st cost price is x, 2nd’s is y,
=>x-15/100*x=y+10/100*y.
=>85/100x=110/100y.
=>85x=110y.
=>17x=22y.
=>X+Y=30000(given)....(1)
=>17x-22y=0.
=>17/22x-22/22y=0/22.
=>17/22x-y=0.....(2)
Add eq (1) and (2),
=>x+17/22x=30000.
=>39/22x=30000.
=>x=~16925.
=>y=30000-16925=13075.
One is loss of 15%=>s.p=c.p-15/100*c.p.
Next one is 10% gain=>s.p=cp+10/100*cp
Both selling price is equal,
We have considered 1st cost price is x, 2nd’s is y,
=>x-15/100*x=y+10/100*y.
=>85/100x=110/100y.
=>85x=110y.
=>17x=22y.
=>X+Y=30000(given)....(1)
=>17x-22y=0.
=>17/22x-22/22y=0/22.
=>17/22x-y=0.....(2)
Add eq (1) and (2),
=>x+17/22x=30000.
=>39/22x=30000.
=>x=~16925.
=>y=30000-16925=13075.
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