16.
A dishonest milkman adds 20% water to the existing quantity of milk and sells it at the same
price for which he buys it. After selling a few litres of the mixture he is caught and has to
pay fine of Rs.200. After paying the fine he realises that he has suffered a loss of Rs.100.
How many litres of the mixture did he sell if he bought pure milk for Rs.10 per litre?
1) 100 litres
2) 85 litres
3) 50 litres
4) 60 litres
Answers
Given : A dishonest milkman adds 20% water to the existing quantity of milk and sells it at the same price for which he buys it.
After selling a few litres of the mixture he is caught and has to pay fine of Rs.200. After paying the fine he realises that he has suffered a loss of Rs.100.
Solution:
Let say existing quantity of milk = M litre
Added 20 % water = (20/100)M = 0.2M litre
Total Mixture = M + 0.2M = 1.2M litre
Cost Price = 10M Rs
Selling Price = 1.2M * 10 = 12M Rs
Profit = 2M Rs
Fine = 200 Rs
Loss = 100 Rs
2M - 200 = - 100
=> 2M = 100
=> M = 50
Total Mixture = 1.2M = 60 Litre
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60 litres of the mixture sold
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