a discount of 10% is given on the marked price of a book, the publisher gains 20%. If the discount is increased to 15%, then what will the gain be?
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I think by Gain you mean Gain%.
Suppose the Marked price is 100 minus discount 10%
Sell Price (SP)= 100–10 = 90
Gain% = 20%
we know SP = {(100+Gain%)/100} x CP (Cost price)
So, CP = SP/{(100+Gain%)/100}
putting the values
CP = 90/1.2
CP = 75
Now, discount is 15% so SP = 100–15 = 85
Gain = 85–75
Gain = 10
Gain% = (Gain x 100)/CP
So, Gain% = (1000/75) =13.33%
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