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A dishonest milkman mixes water and milk and claims to sell the milk

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A dishonest milkman mixes water and milk and claims to sell the milk  [#permalink]

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New post 18 Jan 2019, 00:19
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Question Stats:

47% (01:20) correct 53% (01:14) wrong based on 42 sessions

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A dishonest milkman mixes water and milk and claims to sell the milk at cost price, thereby making a profit of 25%. How much water is there in one litre that he delivers to the customers?

A)200 ml
B)250 ml
C)166.66 ml
D)180 ml
E) 320 ml

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A dishonest milkman mixes water and milk and claims to sell the milk  [#permalink]

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New post 18 Jan 2019, 01:17
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Let the cost price of milk be 1.
Let the cost price of water be 0 (as it's freely available)
He's selling the mixture at CP with 25% profit.
Using Allegation method.

Please check the attachment

Final ratio is 4(milk):1(water)

Water in 1liter of milk = 1000/5 = 200ml

A is the answer.
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A dishonest milkman mixes water and milk and claims to sell the milk  [#permalink]

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New post 18 Jan 2019, 10:02
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Mo2men wrote:
A dishonest milkman mixes water and milk and claims to sell the milk at cost price, thereby making a profit of 25%. How much water is there in one litre that he delivers to the customers?

A)200 ml
B)250 ml
C)166.66 ml
D)180 ml
E) 320 ml


Let the cost per ml = $1, implying that the milkman sells the 1000-ml mixture for $1000.
For every $4 in cost, the milkman must make $1 in profit -- a profit of 25% -- yielding a selling price of $5.
Implication:
Of every $5 in the selling price, $4 = cost, $1 = profit.
Since the cost is equal to 4/5 of the selling price, we get:
Cost = (4/5)(1000) = $800, profit = 1000-800 = $200.
Thus, the 1000-ml mixture is composed of 800 ml of milk (at a cost of $800) and 200 ml of water (at a cost of $0).


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Re: A dishonest milkman mixes water and milk and claims to sell the milk  [#permalink]

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New post 18 Jan 2019, 11:17
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Let 1000ml milk cost $100. That's some expensive milk ;-) no wonder milkman is cheating

The milkman is adding some amount, say x ml in the milk and selling 1000ml of this mixture for 100 (the cost price claimed by milkman) and making 25% profit.

For someone to make 25% profit, the selling price should be 1.25 times the cost price. So, for the milkman, the cost of 1000 ml of the mixture is 100/1.25 or $80.

So the milkman needs only $80 for a mixture of 1000 ml -> meaning only 800ml is milk and hence the remaining 200ml is water.

Hope this is helpful.
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Re: A dishonest milkman mixes water and milk and claims to sell the milk  [#permalink]

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New post 27 Jan 2019, 10:28
A better way to look at the question is, if the merchant is selling something at a profit of 25% what is its cost price.

We can use a relation that if something increases by 1/4 i.e. 25%, we have to reduce that something by 1/5 i.e. 20% to come down to the original price.

1000 needs to be reduced by 20% to know what the actual amount of milk is sold at CP that merchant claims.

1000*1/5 =200ml

Ans: A
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Re: A dishonest milkman mixes water and milk and claims to sell the milk   [#permalink] 27 Jan 2019, 10:28
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A dishonest milkman mixes water and milk and claims to sell the milk

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