Percentage Swap Magic Rule : āĻļāϤāĻžāĻāĻļ āϏā§āĻĨāĻžāύāĻžāύā§āϤ⧰ āĻā§āĻļāϞ â āύāĻŋāϝāĻŧāĻŽ
Percentage Swap Magic Rule : Percentage Tricks
“Numbers can swap places with percentages” “āϏāĻāĻā§āϝāĻž āĻā§°ā§ āĻļāϤāĻžāĻāĻļā§° āϏā§āĻĨāĻžāύ āϏāϞāύāĻŋ āĻā§°āĻŋāĻŦ āĻĒāĻžā§°āĻŋ”
Rule / āύāĻŋāϝāĻŧāĻŽ
X% of Y = Y% of X
To calculate X% of Y, you can swap X and Y and calculate Y% of X instead. The result will be the same.
X% of Y āĻšāĻŋāϏāĻžāĻŦ āĻā§°āĻŋāĻŦāϞā§, X āĻā§°ā§ Yā§° āϏā§āĻĨāĻžāύ āϏāϞāύāĻŋ āĻā§°āĻŋ Y% of X āĻšāĻŋāϏāĻžāĻŦ āĻā§°āĻŋāĻŦ āĻĒāĻžā§°ā§āĨ¤ āĻĢāϞ āĻāĻā§āĻ āĻšāĻŦā§āĨ¤
How to Use / āĻā§āύā§āĻā§ āĻŦā§āĻ¯ā§ąāĻšāĻžā§° āĻā§°āĻŋāĻŦ
- Identify the percentage and the number / āĻļāϤāĻžāĻāĻļ āĻā§°ā§ āϏāĻāĻā§āϝāĻž āĻāĻŋāύāĻžāĻā§āϤ āĻā§°āĻ
- Swap them / āĻĻā§āϝāĻŧā§ā§°ā§ āϏā§āĻĨāĻžāύ āϏāϞāύāĻŋ āĻā§°āĻ
- Multiply → Result / āĻā§āĻŖ āĻā§°āĻ → āĻĢāϞ āĻĒā§ā§ąāĻž āϝāĻžāϝāĻŧ
Examples / āĻāĻĻāĻžāĻšā§°āĻŖ
- 20% of 50 → 50% of 20 → 10
- 15% of 40 → 40% of 15 → 6
- 12% of 50 → 50% of 12 → 6
Tip / āĻāĻŋāĻĒāĻ:
- Works best for simple percentages
- Saves time in mental math and exams
- No need for long multiplication
Trick 1: Swap & Solve
Swap the number and the percentage. Answer stays the same.āϏāĻāĻā§āϝāĻž āĻā§°ā§ āĻļāϤāĻžāĻāĻļā§° āϏā§āĻĨāĻžāύ āϏāϞāύāĻŋ āĻā§°āĻāĨ¤ āĻāϤā§āϤ⧰ āĻāĻā§āĻ āĻĨāĻžāĻāĻŋāĻŦāĨ¤
X% of Y = Y% of X
Example: 20% of 50 = 50% of 20 = 10
Trick 2: Make Percentage Easy
After swapping, choose the easier calculation. āϏā§āĻĨāĻžāύ āϏāϞāύāĻŋ āĻā§°āĻžā§° āĻĒāĻŋāĻāϤ āϏāĻšāĻ āĻšāĻŋāĻāĻžāĻŦāĻā§ āϞāĻāĻāĨ¤
Ex: 12% of 50 → 50% of 12 = 6 (50% āĻŽāĻžāύ⧠āĻāϧāĻž — easy!)
Trick 3: Half, Quarter, Tenth Trick
- 50% = half, āĻāϧāĻž
- 25% = quarter, āĻāĻžā§°āĻŋ āĻāĻžāĻā§° āĻāĻāĻž
- 10% = divide by 10, ā§§ā§Ļā§°ā§ āĻāĻžāĻ
Ex: 25% of 80 → 80% of 25 → 20
Trick 4: Mental Math Speed Trick
Use swapping to avoid long multiplication.āĻĻā§āĻāϞ āĻā§āĻŖ āĻā§°āĻžāĻ āĻŽāύāϤ⧰⧠āĻšāĻŋāĻāĻžāĻŦ āĻā§°āĻāĨ¤
Ex: 40% of 15 → 15% of 40 = 6
Trick 5: Exam Shortcut Trick
If numbers look difficult → swap immediately. āϏāĻāĻā§āϝāĻž āĻāĻ āĻŋāύ āϞāĻžāĻāĻŋāϞ⧠āϤā§āĻā§āώāĻŖāĻžā§ āϏā§āĻĨāĻžāύ āϏāϞāύāĻŋ āĻā§°āĻāĨ¤
Example: 30% of 60 → 60% of 30 = 18
Rule : Swap percentage and number — result never changes! āĻļāϤāĻžāĻāĻļ āĻā§°ā§ āϏāĻāĻā§āϝāĻžā§° āϏā§āĻĨāĻžāύ āϏāϞāύāĻŋ āĻā§°āĻŋāϞ⧠āĻĢāϞ āϏāϞāύāĻŋ āύāĻšāϝāĻŧ!