In what ratio must water be mixed with milk costing Rs.12 per litre in order to get a mixture worth of Rs.8 per litre? a)1 : 3b)2 : 2c)1 : 2d)3 : 1Correct answer is option 'C'. Can you explain this answer?

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In what ratio must water be mixed with milk costing Rs.12 per litre in order to get a mixture worth of Rs.8 per litre?

a)
1 : 3
b)
2 : 2
c)
1 : 2
d)
3 : 1

Correct answer is option 'C'. Can you explain this answer?

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In what ratio must water be mixed with milk costing Rs.12 per litre in...

**Answer:**

To solve this problem, we can use the concept of the weighted average.

Let's assume that we need to mix x litres of water with 1 litre of milk costing Rs. 12 per litre to get a mixture worth Rs. 8 per litre.

**Step 1:**
Let's calculate the cost of the milk-water mixture.
The cost of 1 litre of milk = Rs. 12
The cost of x litres of water = Rs. 0 (as water has no cost)
The cost of (1 + x) litres of the mixture = Rs. 8

So, the equation can be formed as:
(12 * 1 + 0 * x) / (1 + x) = 8

**Step 2:**
Let's solve the equation to find the value of x.
12 / (1 + x) = 8
=> 12 = 8 * (1 + x)
=> 12 = 8 + 8x
=> 4 = 8x
=> x = 4/8
=> x = 1/2

Hence, water and milk need to be mixed in the ratio of 1 : 2 to get a mixture worth Rs. 8 per litre.

Therefore, the correct answer is option C) 1 : 2.

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In what ratio must water be mixed with milk costing Rs.12 per litre in...

Required ratio =4:8=1:2

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In what ratio must water be mixed with milk costing Rs.12 per litre in order to get a mixture worth of Rs.8 per litre? a)1 : 3b)2 : 2c)1 : 2d)3 : 1Correct answer is option 'C'. Can you explain this answer?

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