A man bought 124 litres of milk. He added some water which was freely available. He sold each litre of mixture at 12% less than the price (per litre) at which he bought the milk. He made a 10% profit on the sale. How much litre of water did he added?
Answers
Answer:
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He added 31 litres of water.
Given,
Milk bought = 124 litres
He added some water which was freely available.
He sold each litre of the mixture at 12% less than the price (per litre) at which he bought the milk.
He made a 10% profit on the sale.
To Find,
How many litres of water did he add
Solution,
Let the volume of water added to the milk be 'x' litres
Let the amount at which he bought the milk be 'y' per litre
Cost of total milk bought = 124y
Total Volume of milk now = 124 + x
Profit made = 10% of 124y
Total money after selling milk = 124y + 10% of 124y
Total money after selling milk = 124y + 10/100 * 124y
Total money after selling milk = 124 (y + 0.1y)
Total money after selling milk = 136.4y
Price at which he sold milk = y - 12% of y
Price at which he sold milk = y - 12/100 * y
Price at which he sold milk = y - 0.12 * y
Price at which he sold milk = 0.88y
Total amount collected = (124 + x)0.88y
Now we know,
136.4y = (124 + x)0.88y
136.4 = (124 + x) * 0.88
124 + x =
124 + x = 155
x = 155 - 124
x = 31
Hence, he added 31 litres of water.
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