(B) Let the quantity of milk be $M$ and water be $W$. Total quantity $M + W = 160 \text{ litres}$.By the rule of alligation:Milk $(70 \%)$ and Water $

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(B) Let the quantity of milk be $M$ and water be $W$. Total quantity $M + W = 160 \text{ litres}$.By the rule of alligation:Milk $(70 \%)$ and Water $(30 \%)$ are mixed to get a final mixture of $55 \%$.The differences are:$|55 - 30| = 25$$|70 - 55| = 15$The ratio of milk to water is $25 : 15 = 5 : 3$.Total parts $= 5 + 3 = 8$.Quantity of milk $= \frac{5}{8} \times 160 = 100 \text{ litres}$.Quantity of water $= \frac{3}{8} \times 160 = 60 \text{ litres}$.

Competitive Quantitative Aptitude Mixture and Alligation Mixture and Alligation

Difficult

$A$ vessel of $160 \text{ litres}$ is filled with milk and water. $70 \%$ of milk and $30 \%$ of water is taken out of the vessel. After this task,it is found that the vessel is now filled by $55 \%$ of its original total quantity. What is the original quantity of milk and water in the vessel respectively?

A
$60, 700$
B
$100, 60$
C
$70, 90$
D
$90, 70$

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Mixture and Alligation

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Mixture and Alligation

In a mixture of $60\, L$,the ratio of acid and water is $2:1$. If the ratio of acid and water is to be $1:2$,then the amount of water (in $litres$) to be added to the mixture is:

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In what proportion must sugar of $Rs. 17$ per $kg$ be mixed with sugar of $Rs. 29$ per $kg$ to make a mixture of $Rs. 20$ per $kg$?

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$A$ mixture of $48$ litre of milk and water contains $10 \%$ of water. How much water must be added to make $20 \%$ water in the new mixture?

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In what ratio must a grocer mix two varieties of pulses costing ₹ $15$ and ₹ $20$ per $kg$ respectively so as to get a mixture worth ₹ $16.5/kg$?

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$A$ merchant has $1000 \ kg$ of rice,part of which he sells at $8 \%$ profit and the rest at $16 \%$ profit. He gains $14 \%$ on the whole. The quantity sold at $16 \%$ profit is (in $kg$):

Medium

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In a mixture of $60\, L$,the ratio of acid and water is $2:1$. If the ratio of acid and water is to be $1:2$,then the amount of water (in $litres$) to be added to the mixture is:

In what proportion must sugar of $Rs. 17$ per $kg$ be mixed with sugar of $Rs. 29$ per $kg$ to make a mixture of $Rs. 20$ per $kg$?

$A$ mixture of $48$ litre of milk and water contains $10 \%$ of water. How much water must be added to make $20 \%$ water in the new mixture?

In what ratio must a grocer mix two varieties of pulses costing ₹ $15$ and ₹ $20$ per $kg$ respectively so as to get a mixture worth ₹ $16.5/kg$?

$A$ merchant has $1000 \ kg$ of rice,part of which he sells at $8 \%$ profit and the rest at $16 \%$ profit. He gains $14 \%$ on the whole. The quantity sold at $16 \%$ profit is (in $kg$):

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