Central Tendency & DispersionMTP June 2023 Series IIQuestion 2916 of 473
All Questions

The students of a class 10th\displaystyle 10^{th} have an average weight of 50\displaystyle 50 kg. The strength of the class is 49\displaystyle 49 students. On including the weight of the principal, the average weight shoots up by 0.8\displaystyle 0.8 kg. Find the weight of the principal?

Options

A75
B90
C85
DNone of these
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option b — 90

All Options:

  • A75
  • B90
  • C85
  • DNone of these

Detailed Solution & Explanation

**Step 1: Total weight of 49 students.** Total49=49×50=2450 kg\text{Total}_{49} = 49 \times 50 = 2450 \text{ kg} **Step 2: New average after including principal.** New avg=50+0.8=50.8 kg\text{New avg} = 50 + 0.8 = 50.8 \text{ kg} New total (50 persons) =50×50.8=2540\displaystyle = 50 \times 50.8 = 2540 kg. **Step 3: Weight of principal.** Wprincipal=2540−2450=90 kgW_{principal} = 2540 - 2450 = 90 \text{ kg} **Note:** The computed weight is **90 kg** (Option B), not 85 (Option C). Hence, **Option B** is the correct answer.

More Questions from Central Tendency & Dispersion

Ready to Master Central Tendency & Dispersion?

Practice all 473 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free