(C) Using the method of alligation:Average salary of officer = ₹$10000$Average salary of worker = ₹$2000$Mean average salary = ₹$3000$Difference for o

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(C) Using the method of alligation:Average salary of officer = ₹$10000$Average salary of worker = ₹$2000$Mean average salary = ₹$3000$Difference for officers = $|3000 - 2000| = 1000$Difference for workers = $|3000 - 10000| = 7000$Ratio of (Number of officers) : (Number of workers) = $1000 : 7000 = 1 : 7$Total employees = $400$Number of officers = $\frac{1}{1+7} \times 400 = \frac{1}{8} \times 400 = 50$Number of workers = $400 - 50 = 350$Thus,the number of officers is $50$ and the number of workers is $350$.

Competitive Quantitative Aptitude Mixture and Alligation Mixture and Alligation

Medium

The average monthly salary of employees,consisting of officers and workers of an organization,is ₹$3000$. The average salary of an officer is ₹$10000$ while that of a worker is ₹$2000$ per month. If there are a total of $400$ employees in the organization,find out the number of officers and workers separately.

A
$50, 275$
B
$350, 450$
C
$50, 350$
D
$325, 350$

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Mixture and Alligation

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Mixture and Alligation

Milk and water are mixed in vessel $A$ in the ratio of $5:2$ and in vessel $B$ in the ratio of $8:5$. In what ratio should quantities be taken from the two vessels so as to form a mixture in which milk and water will be in the ratio of $9:4$?

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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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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?

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$200$ litres of mixture contains $15 \%$ water and the rest is milk. The amount of milk that must be added so that the resulting mixture contains $87.5 \%$ milk is..........$Litre$

Medium

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$8$ litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in the cask to that of water is $16:65$. How much wine did the cask hold originally? (in litres)

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Milk and water are mixed in vessel $A$ in the ratio of $5:2$ and in vessel $B$ in the ratio of $8:5$. In what ratio should quantities be taken from the two vessels so as to form a mixture in which milk and water will be in the ratio of $9:4$?

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 ₹):

$200$ litres of mixture contains $15 \%$ water and the rest is milk. The amount of milk that must be added so that the resulting mixture contains $87.5 \%$ milk is..........$Litre$

$8$ litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in the cask to that of water is $16:65$. How much wine did the cask hold originally? (in litres)

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