Answer:
Required value of k is 43% .
Explanation:
Lets assume original regular price of sports jacket = x
On sale , price of jacket is reuced by 30%
Sales price = x - 30% 0f x
[tex]\text{{Sales price}} = x - 30\frac{1}{100}\times x[/tex]
Sales price= x – 0.30x
Sales price= 0.70x
Once sales is over price of jacket is increased by k%
That is
Sales price + k% of Sales price
= 0.70x + k% 0.70x
Also given after increasing to k% , price becomes equal to regular price
=> 0.70x + k% of 0.70x = original regular price
=> [tex]0.70x + \frac{k}{100}\times0.70x = x[/tex]
=>[tex]0.70 + \frac{0.70}{100}k = 1[/tex]
=>[tex]\frac{0.70}{100}k=1-0.70[/tex]
=> 0.70k = 100 x 0.30
=>[tex]k = \frac{(100\times0.30)}{0.70}=42.857[/tex]that is 43
Hence required value of k is 43% .
