Question

On selling a t.v. at 5% gain and a fridge at 10 % gain . A shopkeeper gains rs.2000. but if he sells the t.v. at 10% gain and the fridge at 5%loss . He gains rs.1500 on the transaction . Find the actual price of the t.v. and fridge

Answer 1

Situation

By selling the TV at 5 % gain

fridge at 10 % gain, the shopkeeper gains Rs. 2000.

⇒ 5x/100 +  10y/100 = 2000

⇒ x/20 + y/10 = 2000/1

Taking the L.C.M.

⇒ (x + 2y)/20 = 2000

⇒ x + 2y = 40000  ...........................(1)

By selling the TV at 10 % gain

fridge at 5 % loss, the shopkeeper gains
Rs. 1500.

⇒ 10x/100 - 5y/100 = 1500

⇒ x/10 - y/20 = 1500/1

Taking the L.C.M.

⇒ (2x - y)/20 = 1500

⇒ 2x - y = 30000  ........................(2)

First Multiplying

(1) by 2 = 2× [(x + 2y) = 40000]

⇒ 2x + 4y = 80000

subtracting (2) from the above.

      2x + 4y = 80000
      2x  -  y  = 30000 
    -      +       -
   ________________

             5y  = 50000
__________________

⇒ 5y = 50000

⇒ y = 50000/5

⇒ y = 10000

The actual price of fridge is Rs. 10000.

putting the value of y = 10000 in (1), we get.

⇒ x + 2y = 40000

⇒ x + (2× 10000) = 40000

⇒ x = 40000 - 20000
 
⇒ x = 20000

actual price of TV is Rs. 20000

and actual price of fridge is Rs. 10000.

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I hope it's help you..!!✌️✌️

Answer 2

Answer:

above answer is true as hel