10. A man sells his T.V. at 5% profit. If he sells it for 3 250 less, he will garm 15/4 Determine the cost of the T.V
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Answer:
Let, the price of a TV be Rs.x and that of a fridge be Rs.y
Then, we have:
100
5x
+
100
10y
=2000
5x+10y=200000
⇒x+2y=40000
⇒x=40000−2y....(i)
Now,
100
10x
−
100
5y
=1500
⇒10x−5y=150000
⇒2x−y=30000
⇒2(40000−2y)−y=30000 from euation (i)
⇒80000−4y−y=30000
⇒5y=80000−30000
⇒y=
5
50000
⇒y=Rs10000
∴x=Rs40000−Rs20000
⇒x=Rs.20000
∴ Price of a T.V. =Rs.20000
Price of a fridge =Rs10000
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