Question

A man sold a cow at a loss of 7%. Had he
been able to sell it at a gain of 9%, it would
have fetched Rs. 80 more than it did. What
was the cost price?​

Answer 1

In the Above Question , the following information is given -

A man sold a cow at a loss of 7%.

Had he been able to sell it at a gain of 9%, it would have fetched Rs. 80 more than it did .

To find -

Find the cost price of the cow .

Solution -

Let us assume that the cost price of the cow is Rs. X .

Now , the condition is -

If he sold the cow at a gain of 9% , he will gain Rs. 80 more than what he will get if he sells at a loss of 7% .

So,

=> 109% of x - 93% of x = 80

=> 1.09x - 0.93 x = 80

=> 0.16 x = 80

=> [ 16 / 100 ] x = 80

=> [ 1 / 100 ] x = 5

=> x = Rs. 500 .

This is the required cost price of the cow .

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Answer 2

Answer

Given ,

A man sold a cow at a loss of 7%. Had he  been able to sell it at a gain of 9%, it would  have fetched Rs. 80 more than it did

Let the cost price of cow be x

ACQ ,

$\to \rm 109\ \%\ x-93\ \%\ x=80\\\\\to \rm \dfrac{109}{100}x-\dfrac{93}{100}x=80\\\\\to \rm x\left(\dfrac{109}{100}-\dfrac{93}{100}\right) =80\\\\\to \rm x(1.09-0.93)=80\\\\\to \rm x(0.16)=80\\\\\to \rm x\left(\dfrac{16}{100}\right)=80\\\\\to \rm 16x=8000\\\\\to \rm x=500$

So , Cost Price of cow is $\orange{\bigstar}$  Rs . 500  $\green{\bigstar}$