Question :
On selling a T . V . at 5 % gain and fridge at 10 % gain, a shopkeeper gains R s . 2000 . But if he sells the T . V . at 10 % gain and the fridge at 5 % loss. He gains R s . 1500 on the transaction. Find the actual prices of T . V . and fridge.Submitted on 29/12/2023 | Answered by Vandana RanaAnswer :
Let, the price of a TV be Rs . xand that of a fridge be Rs. y
Then, we have: 5x /100 + 10y/100=2000
5x + 10y = 200000
⇒ x + 2y =40000
⇒ x = 40000 − 2y...(i)
Now, 10x/100 − 5y/100=1500
⇒10x − 5y=150000
⇒2x − y=30000
⇒2(40000−2y)−y=30000
from equation (i)
⇒80000−4y−y=30000
⇒5y=80000−30000
⇒y=50000/5
⇒y=Rs 10000
∴ x =Rs 40000−Rs20000
⇒x=Rs.20000
∴ Price of a T.V. =Rs. 20000Price of a fridge =Rs.10000