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If 35% of a number is 84, find the number.

hard Q10 of 15
Numerical Ability - Simplification & Approximation
If 35% of a number is 84, find the number.
A210
B220
C230
D240
Step-by-Step Solution
  1. Step 1: Set up equation from given percent

    Let the number be x. 35% of x = 84 → (35/100)×x = 84.
  2. Step 2: Solve for x

    x = 84 × (100/35) = 84 × (20/7) = 12 × 20 = 240.
  3. Final Answer:

    240 → Option D.
  4. Quick Check:

    35% of 240 = 0.35 × 240 = 84 ✅
Quick Trick: To reverse, divide given value by (p/100).
Common Mistakes:
  • Multiplying by percentage instead of dividing by p/100 to find original.
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