Question

john bought two horses at 20000 each. hesold one horse at 15percantage gain.but he hadto sell 2nd horse at a loss.if he had suffered aloss of1800 on whole transaction find the s. p if the 2nd horse

Answer 1

ANSWER:

______________________________

Given :

John bought two horses at Rs 20000 each.

He sold one horse at 15% gain

But sold 2nd horse at a loss.

He had a loss of Rs 1800 in this whole transaction.

______________________________

To find:

The selling price of the 2nd horse.

____________________________

Solution:
 1st horse C.P. =  Rs. 20000

Gain % =15%

Therefoe,
$s.p = 20000 \times \frac{115}{100} \\ \\ s.p = rs \: 23000$

So the selling price of the first horse =Rs 23000.

Now we will find the selling price of the 2nd horse.

2nd horse C.P = Rs. 20000

  He sold the second horse at a loss ,but we are not provided with the percentage of the loss.

So,
let loss % be x.

%Loss=X%

Therefore,

 
$s.p = 20000 \times \frac{100 - x}{100} \\ \\ s.p = \: rs \: (20000 - 200x)$

Now we also have the selling price of the second horse. So now we can find the total loss.

Therefoe,

$total \: loss = total \: c.p - total \: s.p \\ \\total \: loss = 40000 - (23000 + 20000 - 200x) \\ \\ = > 1800 = - 3000 + 200x \\ \\ = > 200x = 4800 \\ \\ x = \frac{4800}{200} \\ \\ = > x = 24\%$