(D) The formula for the amount of substance remaining after $n$ operations is $A = x(1 - y/x)^n$,where $x$ is the initial quantity,$y$ is the quantity

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(D) The formula for the amount of substance remaining after $n$ operations is $A = x(1 - y/x)^n$,where $x$ is the initial quantity,$y$ is the quantity replaced,and $n$ is the total number of operations.Here,$x = 80$,$y = 8$,and the process was performed once initially and repeated $3$ more times,so $n = 1 + 3 = 4$.Remaining milk $= 80(1 - 8/80)^4$$= 80(1 - 0.1)^4$$= 80(0.9)^4$$= 80 \times 0.6561$$= 52.488 \text{ litre}$.Rounding to the nearest provided option,the answer is $52.48$.

Competitive Quantitative Aptitude Mixture and Alligation Mixture and Alligation

Medium

$A$ container contained $80$ $litre$ of milk. From this container $8$ $litre$ of milk was taken out and replaced by water. This process was further repeated $3$ times. How much milk is now contained in the container? (in $litre$)

A
$54.23$
B
$54.26$
C
$56.26$
D
$52.48$

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Mixture and Alligation

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Mixture and Alligation

In three vessels,the ratio of water and milk is $6:7$,$5:9$,and $8:7$,respectively. If the mixtures of the three vessels are combined,what will be the final ratio of water to milk?

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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 $L$)

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If $5 \ kg$ of potato costing $Rs. 5$ per $kg$ and $3 \ kg$ of potato costing $Rs. 4$ per $kg$ are mixed,find the average cost of the mixture per $kg$?

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Tea worth ₹ $126/kg$ and ₹ $135/kg$ are mixed with a third variety in the ratio $1:1:2$. If the mixture is worth ₹ $153/kg$,the price of the third variety per kg will be (in ₹):

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Mira's expenditure and savings are in the ratio $3: 2$. Her income increases by $10 \%$. Her expenditure also increases by $12 \%$. By how many $\%$ does her saving increase?

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$A$ container contained $80$ $litre$ of milk. From this container $8$ $litre$ of milk was taken out and replaced by water. This process was further repeated $3$ times. How much milk is now contained in the container? (in $litre$)

Similar Questions

In three vessels,the ratio of water and milk is $6:7$,$5:9$,and $8:7$,respectively. If the mixtures of the three vessels are combined,what will be the final ratio of water to milk?

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 $L$)

If $5 \ kg$ of potato costing $Rs. 5$ per $kg$ and $3 \ kg$ of potato costing $Rs. 4$ per $kg$ are mixed,find the average cost of the mixture per $kg$?

Tea worth ₹ $126/kg$ and ₹ $135/kg$ are mixed with a third variety in the ratio $1:1:2$. If the mixture is worth ₹ $153/kg$,the price of the third variety per kg will be (in ₹):

Mira's expenditure and savings are in the ratio $3: 2$. Her income increases by $10 \%$. Her expenditure also increases by $12 \%$. By how many $\%$ does her saving increase?

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