Math, asked by ITZKHUSHI1234567, 10 months ago

Solve the problem plz......​

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Answered by PBXHarsh
0

Answer:

Solution :-

Let the actual price of the TV be Rs. 'x' and of the fridge be Rs. 'y'.

Situation -1

By selling the TV at 5 % gain and 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. of the denominator and then solving it, we get.

⇒ (x + 2y)/20 = 2000

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

Situation - 2

By selling the TV at 10 % gain and fridge at 5 % loss, the shopkeeper gains Rs. 1500. The loss is indicated with the negative sign.

⇒ 10x/100 - 5y/100 = 1500

⇒ x/10 - y/20 = 1500/1

Taking the L.C.M. of the denominator and then solving it, we get.

⇒ (2x - y)/20 = 1500

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

Now, multiplying the (1) by 2, and then subtracting 2 from it, we get.

First Multiplying (1) by 2 = 2*[(x + 2y) = 40000]

⇒ 2x + 4y = 80000

Now, 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.

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

⇒ x + 2y = 40000

⇒ x + (2*10000) = 40000

⇒ x = 40000 - 20000

 

⇒ x = 20000

Hence, the actual price of TV is Rs. 20000 and actual price of fridge is Rs. 10000

Answered by HeartlessDemon
0

Answer:

Actual price of T.V. is Rs. 20,000 and fridge is Rs. 10,000

Step-by-step explanation:

Let the price of the T.V. be Rs. x and the price of the fridge be Rs. y. Then, we have:

5x/100 + 10y/100 = 2000

⇒5x + 10y = 200000

⇒5(x + 2y) = 200000

⇒x + 2y = 40000 ...(i)

And, 10x/100 - 5y/100 = 1500

⇒10x - 5y = 150000

⇒5(2x - y) = 150000

⇒2x - y = 30000 ...(ii)

Now, multiplying (ii) by 2, we get:

4x - 2y = 6000 ...(iii)

Adding (i) and (iii),

x + 4x = 40000 + 60000

⇒5x = 100000

⇒x = 20000

Putting x = 20000 in (i), we get:

20000 + 2y = 40000

⇒2y = 20000

⇒y = 10000

Therefore, cost of T.V. is Rs. 20000 and cost of fridge is Rs.10000

HOPE IT HELPS !!!

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