The average annual income (in ₹) of certain agricultural workers is S and that of other workers is T. The… · ABC26GN1569
Subject: General Aptitude · Chapter: Average · Exam: 2004 · Marks: · Difficulty:
The average annual income (in ₹) 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 ₹) of all the workers is
(a)$\frac{S+T}{2}$
(b)$\frac{S+11 T}{2}$
(c)$\frac{1}{11 S}+T$
(d)$\frac{11 S+T}{12}$
Answer
Answer (as printed): D
Explanation
Let the number of other workers be $x$. Then, number of agricultural workers $=11 x$. Total number of workers $=12 x$. $$\text { ∴ Average monthly income }=\frac{S \times 11 x+T \times x}{12 x}=\frac{11 S+T}{12} .$$
Explanation as extracted from the printed page; notation may be imperfect.