On selling a tsxhdjdxqt at the loss of 9% T. V. at 5% gain and a fridge at 10% gain,Reliance digital gains Rs 2000. But if its sells the T. V. at 10% gain and the fridge at 5% loss. He gains Rs 1500 on the transaction. Find the actual prices of tsxhdjdxqt,T. V. and fridge.
Answers & Comments
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