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Teenagers shoe company sells the shoes whose prices i.e.,cost price and selling price are the multiples of either 13,14,15,16,17,18 or 19, starting from Rs. 399 to Rs.699 (i.e, 399 <_ CP/SP <_ 699). What can be the maximum profit of the company?

Correct Answer: Rs. 298

Explanation:

The maximum possible profit = maximum possible difference in SP and CP.
It means SP be maximum and CP be minimum
CP (min) = Rs. 399
19 x m = 399, where m is an integer.
Again SP (max) = Rs. 697, which is very close to 699
Here 697 = 17 k, k is a positive integer.
So, the maximum profit = 697 - 399 = Rs. 298


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