A dishonest grocer professes to sell pure butter at cost price, but he mixes it with adulterated fat and thereby gains 25%. Find the percentage of adulterated fat in the mixture assuming that adulterated fat is freely available
Answers
Given : A dishonest grocer professes to sell pure butter at cost price, but he mixes it with adulterated fat and thereby gains 25%. adulterated fat is freely available
To find : the percentage of adulterated fat in the mixture
Solution:
Let say cost price = Rs C per kg
Selling Price = Rs C per kg
Butter = B kg
Total Cost Price = BC rs
Gain = 25 % = (25/100)BC
Total Sell Price = BC + (25/100)BC = 125BC /100
Let say X % fat is mixed
Then Mixture will be = B + (X/100)B = B (100 + X)/100 kg
SP = Rs C per kg
Total Sell price = BC (100 + X)/100
125BC /100 = BC (100 + X)/100
=> 125 = 100 + X
=> X = 25
adulterated FAT = 25 % = (25/100)B = 25B/100
Mixture = B (100 + X)/100 = B(125/100)
% of adulterated fat in the mixture = 100 * ( 25B/100)/B(125/100)
= 20 %
20 % of adulterated fat is in the mixture
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