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Question 127
If a commission of 10% is given on the marked price of a work, the publisher gains 20%. If the commission is increased to 15%, the gain percent is:
Solution
Let CP = 100 and Marked Price = X.
SP = 100 + 20% of 100 = 120.
10% commission was given on SP. SP = X - 10% of X
120 = X - (10X/100)
X = 1200/9 = 133.33.So, MP = 133.33.
If 15% commission was given, then
SP = 133.33 - 15% of 133.33 = SP = 133.33 - 20
SP = 113.33.
Gain = 133.33 - 100.
% Gain = 13.33%.
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