Multiple choice

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:

  1. $\cfrac{S+T}{2}$
  2. $\cfrac{S+11T}{2}$
  3. $\cfrac{1}{11S}+T$
  4. $\cfrac{11S+T}{12}$
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D Correct answer
AI explanation

Use the weighted average formula. Let the number of other workers be 1, making the number of agricultural workers 11. The total income is 11S plus T, and the total number of workers is 12. Dividing the total income by the total workers gives (11S + T) / 12, making the result (11S + T) / 12.

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