The respective ratio of milk and water in the mixture is 4 : 3. If 6 litres of water is added to this mixture, the respectively ratio of milk and water becomes 8 : 7. What is the quantity of milk in the original mixture ?
A. 36 litres
B. 84 litres
C. 48 litres
D. None of these
Answer: Option C
Solution(By Examveda Team)
Let 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
$$\eqalign{ & \Rightarrow \frac{{4x}}{{3x + 6}} = \frac{8}{7} \cr & \Rightarrow 28x = 24x + 48 \cr & \Rightarrow 28x - 24x = 48 \cr & \Rightarrow 4x = 48 \cr & \Rightarrow x = \frac{{48}}{4} \cr & \Rightarrow x = 12 \cr} $$
∴ Required quantity of milk
= 4x
= 4 × 12
= 48 litres
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Related Questions on Alligation
A. $$\frac{{1}}{{2}}$$ kg
B. $$\frac{{1}}{{8}}$$ kg
C. $$\frac{{3}}{{14}}$$ kg
D. $$\frac{{7}}{{9}}$$ kg
A. 81 litres
B. 71 litres
C. 56 litres
D. 50 litres
4:3=4*2:3*2=8:6
8:7--------8:6=1 unit=6 lt
milk=8*6=48 lt