SOLUTION: A milk vendor who sells milk at 10.50 per half a litre, finds a can lying by the roadside unclaimed and unattended. He picks up the milk can and tests the milk. he finds it fresh

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A milk vendor who sells milk at 10.50 per half a litre, finds a can lying by the roadside unclaimed and unattended. He picks up the milk can and tests the milk. he finds it fresh       Log On


   



Question 752180: A milk vendor who sells milk at 10.50 per half a litre, finds a can lying by the roadside unclaimed and unattended. He picks up the milk can and tests the milk. he finds it fresh and of the same quality as the milk he already has with him.He initially had 52 litres of milk , while the can he found has 13 Liters.
He mixes the two quantities and sells at a reduced price but maintains his percentage of profit. By what proportion does he decrease the price per liter?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A milk vendor who sells milk at 10.50 per half a litre, finds a can
lying by the roadside unclaimed and unattended.
He picks up the milk can and tests the milk. he finds it fresh and
of the same quality as the milk he already has with him.
He initially had 52 litres of milk, while the can he found has 13 Liters.
He mixes the two quantities and sells at a reduced price but maintains
his percentage of profit.
By what proportion does he decrease the price per liter?
:
Find his revenue with the original amt of milk
52 * 2 * 10.50 = $1092
Find the cost per liter after adding 13 liters to it
1092%2F%28%2852%2B13%29%29 = 16.8 or $8.40 for a half liter
:
"what proportion does he decrease the price per liter?"
Not sure what proportion is here, will find the per cent decrease
%28%2810.50-8.40%29%29%2F10.50 * 100 = 20% decrease