Average annual income (in Rs. ) of certain agricultural workers is S and that of other workers is T

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The average annual income (in $Rs.$) of certain agricultural workers is $S$ and that of other workers is $T$. The number of agricultural workers is $11$ times that of other workers. Then the average annual income (in $Rs.$) of all the workers is

A

$\frac{S+T}{2}$

B

$\frac{S+11T}{2}$

C

$\frac{1+T}{11S}$

D

$\frac{11S+T}{12}$

Solution

Average annual income of agricultural worker $=S$

Average annual income of other workers $=T$

Let other workers be $n$ in number and agricultural works be $11 n$ in number.

$\frac{11 n \times S+n \times T}{12 n}=\frac{11 S+T}{12}$

Standard 13

Quantitative Aptitude

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