Question

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 monthly income (in Rs.) of all the workers is:

• A. $\frac{S+T}{2}$
• B. $\frac{S+11T}{2}$
• C. $\frac{1}{11S}+T$
• D. $\frac{11S+T}{12}$

Answer 1

Answer: (D)

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

Let the number of other workers $=x$

Then number of agricultural worker $=11x$

Total number of worker $=12x$

Average monthly income $=\frac{S\times 11x+T\times x}{12x}$

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