Central Tendency & DispersionMTP Nov 19, ICAI SMQuestion 2885 of 473
All Questions

The average salary of a group of unskilled workers is Rs.10,000 and that of a group of skilled workers is Rs.15,000. If the combined salary is Rs.12,000, then what is the percentage of skilled workers?

Options

A40%
B50%
C60%
DNone of these
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Correct Answer

✅ Option a — 40%

All Options:

  • A40%
  • B50%
  • C60%
  • DNone of these

Detailed Solution & Explanation

**Step 1: Set up variables.** Let proportion of unskilled workers =p\displaystyle = p and skilled workers =(1−p)\displaystyle = (1-p). **Step 2: Apply combined mean equation.** 10000p+15000(1−p)=1200010000p + 15000(1-p) = 12000 10000p+15000−15000p=1200010000p + 15000 - 15000p = 12000 −5000p=−3000-5000p = -3000 p=30005000=0.6=60%p = \frac{3000}{5000} = 0.6 = 60\% So skilled workers =1−p=1−0.6=0.4=40%\displaystyle = 1 - p = 1 - 0.6 = 0.4 = 40\%. Hence, **Option A** is the correct answer.

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