A shopkeeper gives a discount of 12, whereas a customer makes cash payment. Let 'p' denotes the percentage, above the cost price, that the shopkeeper must mark up the price of the articles ['p' is an integer] in order to make a profit of x. Which of the following can't be possible value of x?
Pick:
A) 54 B) 76 C) 96 D) 32 E) 34
Explanation :   Let, the cost price of one article is Rs r then,   Marked price of the article,   =&gt;r(1+p/100).   The selling price is:-   =&gt;r(1+p/100)(1−12/100).   Profit percentage =x%   =&gt;r(1+p/100)(1−12/100)=r(1+x100).   =&gt;x=25(12+x)/22.   As, p is an integer, x must be multiple of 22.   All the possible values x, less than 100 are k=10,32,54,76,98.   Except option 'C' all the options are possible.   Answer : 96
<result>C</result>
A shopkeeper gives a discount of 12, whereas a customer makes cash payment. Let 'p' denotes the percentage, above the cost price, that the shopkeeper must mark up the price of the articles ['p' is an integer] in order to make a profit of x. Which of the following can't be possible value of x?