Asports jacket is on sale for 30% off the regular price. after the sale, the same sports jacket is marked up k% to again sale at the original regular price. kind k to the nearest whole number

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

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

=>

=>

=>

=> 0.70k = 100 x 0.30

=>that is 43

Hence required value of k is 43% .

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step-by-step explanation: