(B) In the first cask ($48$ $litres$): Wine $= \frac{13}{20} \times 48 = 31.2$ $litres$,Water $= \frac{7}{20} \times 48 = 16.8$ $litres$.In the second

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(B) In the first cask ($48$ $litres$): Wine $= \frac{13}{20} \times 48 = 31.2$ $litres$,Water $= \frac{7}{20} \times 48 = 16.8$ $litres$.In the second cask ($42$ $litres$): Wine $= \frac{18}{35} \times 42 = 21.6$ $litres$,Water $= \frac{17}{35} \times 42 = 20.4$ $litres$.Total wine $= 31.2 + 21.6 = 52.8$ $litres$.Total water $= 16.8 + 20.4 = 37.2$ $litres$.After adding $20$ $litres$ of water,total water $= 37.2 + 20 = 57.2$ $litres$.The ratio of wine to water $= 52.8 : 57.2 = 528 : 572$.Dividing both by $44$,we get $12 : 13$.

Competitive Quantitative Aptitude Mixture and Alligation Mixture and Alligation

Difficult

Two casks of $48$ $litres$ and $42$ $litres$ are filled with mixtures of wine and water,the proportions in the two casks being respectively $13:7$ and $18:17$. If the contents of the two casks are mixed,and $20$ $litres$ of water is added to the whole,what will be the proportion of wine to water in the resultant mixture?

A
$13:12$
B
$12:13$
C
$21:31$
D
$31:21$

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Mixture and Alligation

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Mixture and Alligation

$80 \text{ litre}$ mixture of milk and water contains $10 \%$ milk. How much milk (in $\text{litre}$) must be added to make water percentage in the mixture $80 \% ?$

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Solution $A$ contains $10 \%$ acid and solution $B$ contains $30 \%$ acid. In what ratio should solution $A$ be mixed with solution $B$ to obtain a mixture with $25 \%$ acid?

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$A$ container contains $50 \, \text{litres}$ of milk. From this container $5 \, \text{litres}$ of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container? (in $\text{litres}$)

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Nine litres of water are drawn from a container full of water and it is then filled with milk. Nine litres of mixture are drawn and the container is again filled with milk. The ratio of the quantity of water now left in the container to that of the milk in it is $16:9$. How much liquid does the container hold? (in $litres$)

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$A$ person travels $285 \text{ km}$ in $6 \text{ hours}$ in two stages. In the first part of the journey,he travels by bus at a speed of $40 \text{ km/h}$. In the second part of the journey,he travels by train at a speed of $55 \text{ km/h}$. How much distance did he travel by train? (in $\text{km}$)

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$80 \text{ litre}$ mixture of milk and water contains $10 \%$ milk. How much milk (in $\text{litre}$) must be added to make water percentage in the mixture $80 \% ?$

Solution $A$ contains $10 \%$ acid and solution $B$ contains $30 \%$ acid. In what ratio should solution $A$ be mixed with solution $B$ to obtain a mixture with $25 \%$ acid?

$A$ container contains $50 \, \text{litres}$ of milk. From this container $5 \, \text{litres}$ of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container? (in $\text{litres}$)

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