The respective ratio of milk and water in the mixture is $4 : 3.$ If $6$ litres of water is added to this mixture, the the respectively ratio of milk and water becomes $8 : 7.$ What is the quantity of milk in the original mixture?

36

litres

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84

litres

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48

litres

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46

litres

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Solution

The correct option is C $48$ litres
Let the quantity of milk and water in initial mixture be $4 x$ and $3 x$ litres.
Quantity of water $= 3 x$ litres
On adding $6$ litres of water, we get
$\frac{4 x}{3 x + 6} = \frac{8}{7}$
$\Rightarrow 4 x = 48$
$\Rightarrow x = 12$
Now, required quantity of milk $= 4 x = 48$ litres

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The respective ratio of milk and water in the mixture is 4:3. If 6 litres of water is added to this mixture, the the respectively ratio of milk and water becomes 8:7. What is the quantity of milk in the original mixture?

The correct option is C 48 litresLet the quantity of milk and water in initial mixture be 4x and 3x litres. Quantity of water =3x litres On adding 6 litres of water, we get 4x3x+6=87 ⇒4x=48 ⇒x=12 Now, required quantity of milk =4x=48 litres

The respective ratio of milk and water in the mixture is $4 : 3.$ If $6$ litres of water is added to this mixture, the the respectively ratio of milk and water becomes $8 : 7.$ What is the quantity of milk in the original mixture?