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A milkman buys some milk. If he sells it at rupees 10 a litre, he losses 400 rupees but when he sells it at 12 a litre, he gains 800 rupees. How much milk did he purchase?
  • a)
    400 litre
  • b)
    550 litre
  • c)
    600 litre
  • d)
    800 litre
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A milkman buys some milk. If he sells it at rupees 10 a litre, he loss...
10x=s-400
12x=s+800
2x=1200
X=600
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Most Upvoted Answer
A milkman buys some milk. If he sells it at rupees 10 a litre, he loss...
Let x be milk amount
A = total purchase amount
A - 10x = 400
12x - A = 800
x = 600
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Community Answer
A milkman buys some milk. If he sells it at rupees 10 a litre, he loss...
Given information:
Selling price of milk at Rs.10/litre leads to a loss of Rs.400
Selling price of milk at Rs.12/litre leads to a gain of Rs.800

To find out the quantity of milk purchased, we can use the concept of cost price and profit/loss.

Let CP be the cost price and SP be the selling price of the milk.

When milk is sold at Rs.10/litre, the loss is Rs.400. Therefore,

CP - 10x = 400

When milk is sold at Rs.12/litre, the profit is Rs.800. Therefore,

12x - CP = 800

We have two equations with two variables (CP and x). We can solve for CP and x using these equations.

Solving for CP, we get:

CP = 12x - 800

Substituting this value of CP in the first equation, we get:

12x - 800 - 10x = 400

2x = 1200

x = 600

Therefore, the milkman purchased 600 litres of milk.

Hence, the correct answer is option C.
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A milkman buys some milk. If he sells it at rupees 10 a litre, he losses 400 rupees but when he sells it at 12 a litre, he gains 800 rupees. How much milk did he purchase?a)400 litreb)550 litrec)600 litred)800 litree)None of theseCorrect answer is option 'C'. Can you explain this answer?
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