(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

Some amount out of ₹$7000$ was lent at $6 \%$ $p.a.$ and the remaining at $4 \%$ $p.a.$ If the total simple interest from both the fractions in $5$ $years$ was ₹$1600$,the sum lent at $6 \%$ $p.a.$ was (in ₹).

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Varun's expenditures and savings are in the ratio of $4:1$. His income increases by $20\%$. If his savings increase by $12\%$, by how much percentage should his expenditure increase?

Medium

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In what proportion must a grocer mix sugar at ₹ $12$ per $kg$ and ₹ $7$ per $kg$ so as to make a mixture worth ₹ $8$ per $kg$?

Medium

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In what ratio must water be added to spirit to gain $10 \%$ by selling it at the cost price?

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In a mixture of milk and water with a total volume of $60$ $L$,the ratio of milk to water is $7:5$. How much water must be added to make the ratio of milk to water equal $(1:1)$? (in $L$)

Medium

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Some amount out of ₹$7000$ was lent at $6 \%$ $p.a.$ and the remaining at $4 \%$ $p.a.$ If the total simple interest from both the fractions in $5$ $years$ was ₹$1600$,the sum lent at $6 \%$ $p.a.$ was (in ₹).

Varun's expenditures and savings are in the ratio of $4:1$. His income increases by $20\%$. If his savings increase by $12\%$, by how much percentage should his expenditure increase?

In what proportion must a grocer mix sugar at ₹ $12$ per $kg$ and ₹ $7$ per $kg$ so as to make a mixture worth ₹ $8$ per $kg$?

In what ratio must water be added to spirit to gain $10 \%$ by selling it at the cost price?

In a mixture of milk and water with a total volume of $60$ $L$,the ratio of milk to water is $7:5$. How much water must be added to make the ratio of milk to water equal $(1:1)$? (in $L$)

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