Question

On selling a T.V. at 5% gain and a fridge at 10% gain, a shopkeeper gains 2000. But
if he sells the T.V. at 10% gain and the fridge at 5% loss. He gains 1500 on the
transaction. Find the actual prices of T.V. and fridge.​

Answer 1

Answer:

Price of TV=10000

Price of Frigde=20000

Step-by-step explanation:

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