Doodheri lal, a milk seller has two types of milk. Type 1 contains 80% water and Type 2 contains 25% water. He buys 20 litres of Type 2 milk from the market and converts it
into Type 1 milk by adding water to it. If he then sells Type 1 milk at the same price at which he bought Type 2 milk, what is his total profit percentage? Assume water is
free of cost
Pick ONE option
A) 275%
B) 200%
C) 80%
D) 125%
Answers
Given : Doodheri lal, a milk seller has two types of milk. Type 1 contains 80% water and Type 2 contains 25% water. He buys 20 litres of Type 2 milk from the market and converts it into Type 1 milk by adding water to it.
Sells Type 1 milk at the same price at which he bought Type 2 milk,
To find : total profit percentage
Solution:
Let say cost Price of Type 2 Milk = Rs C per litre
Cost for 20 litre = Rs 20C
Type 2 contains 25% water.
=> Water = (25/100) 20 = 5 Litre
Let say he mix w litre water
Then mixture become = 20 + W litre
while water becomes = 5 + W litre
Type 1 contains 80% water
=> 100 * ( 5 + W)/ (20 + W) = 80
=> 5 * ( 5 + W)/ (20 + W) = 4
=> 25 + 5W = 80 + 4W
=> W = 55
55 Litre water is added
so total becomes = 20 + 55 = 75 litre
Selling Price = Rs 75C
Profit = 75C - 20C = Rs 55C
Profit % = (55C / 20C) * 100
= 55 * 5
= 275 %
option A is correct
total profit percentage = 275 %
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