Question : A merchant changed his trade discount from 25% to 15%. This would increase his selling price by:
Option 1: $3\frac{1}{3}$%
Option 2: $6\frac{1}{6}$%
Option 3: $13\frac{1}{3}$%
Option 4: $16\frac{1}{3}$%
Correct Answer: $13\frac{1}{3}$%
Solution :
Given: A merchant changed his trade discount from 25% to 15%.
Let the marked price be Rs. 100.
Now for a 25% discount the selling price is = (100 – 25) = Rs. 75
and for a 15% discount, the selling price is = (100 – 15) = Rs. 85
So, the increase in the selling price
= ($\frac{85-75}{75}$×100)
= $\frac{40}{3}$
= $13\frac{1}{3}$%
Hence, the correct answer is $13\frac{1}{3}$%.
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