Discussion

Explanation:

Hint: Students please note that the percentages that are given are the basic percentages derived from basic fractions. e.g. 11.11% = 19 and 14.28 = 17.

Hence, you should make use of the most of this kind of knowledge. So let the CP be Re 1. Since he makes a profit of 17, his SP = 1+17=Rs. 87.

His marked price should be 19 above this. So if we subtract 19 of MP from the MP, we will get the SP.
So MP-19MP=SP=87

Hence, MP = 97

Therefore, percentage of mark-up on CP = (MP – CP)/CP

=97-1/1=27=217 = 2 × 14.28 = 28.56%

Alternative method:
We can use the formula z = x – y – xy100, where
z = Gain percentage
x = Percentage above CP
y = Discount percentage
∴ 14.28% = x – 11.11% – 11.11x100

or 14.28 = 100x-1111-11.11x100

or 1428 - 1111 = 88.89x

or x = 28.56% (Approximately)

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