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How much quantity of water should be mixed with 10 l of milk costing Rs 50 per litre so that the resultant mixture is to be sold at Rs 44 per kg?
  • a)
    9.5 litres
  • b)
    2 litres
  • c)
    1 7/11 litres
  • d)
    1 4/11 litres
  • e)
    12 litres
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
How much quantity of water should be mixed with 10 l of milk costing R...
D) 1 4/11 litres Explanation: CP of water = Rs 0 By method of allegation: water (x kg)             milk (10 litres) 0                                      50
.                    44
6                                      44
6 : 44
3 : 22
So x/10 = 3/22
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Most Upvoted Answer
How much quantity of water should be mixed with 10 l of milk costing R...
Given:
- Quantity of milk = 10 liters
- Cost of milk = Rs 50 per liter
- Selling price of mixture = Rs 44 per kg

To find:
- Quantity of water to be added

Solution:
1. Let's assume that x liters of water is added to 10 liters of milk to make the mixture.
2. So, the total quantity of the mixture will be (10 + x) liters.
3. Let's find the cost price of the mixture.
- The cost of 10 liters of milk = 10 x 50 = Rs 500
- The cost of x liters of water = 0 (as water is free)
- So, the cost price of (10 + x) liters of mixture = Rs 500
4. Let's find the weight of (10 + x) liters of mixture in kg.
- 1 liter of milk weighs 1 kg (approx.)
- 1 liter of water weighs 1 kg (exactly)
- So, (10 + x) liters of mixture will weigh (10 + x) kg.
5. We know that the selling price of the mixture is Rs 44 per kg.
- So, the selling price of (10 + x) kg of mixture = (10 + x) x 44 = 440 + 44x Rs
6. We can equate the cost price and selling price of the mixture to find the value of x.
- Cost price of mixture = Selling price of mixture
- Rs 500 = 440 + 44x
- 44x = 60
- x = 60/44 = 1 4/11 liters

Therefore, the quantity of water to be added is 1 4/11 liters, which is option D.
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How much quantity of water should be mixed with 10 l of milk costing Rs 50 per litre so that the resultant mixture is to be sold at Rs 44 per kg?a)9.5 litresb)2 litresc)1 7/11 litresd)1 4/11 litrese)12 litresCorrect answer is option 'D'. Can you explain this answer?
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