Trick â 1 : Percentage Tricks (āĻļāϤāĻā§°āĻž āĻšāĻŋāĻāĻžāĻĒā§° āĻā§āĻļāϞ)
Percentage Tricks (āĻļāϤāĻā§°āĻž āĻšāĻŋāĻāĻžāĻĒā§° āĻā§āĻļāϞ)
Trick:
- More to Less: m / (100 + m) * 100
- Less to More: m / (100 - m) * 100
1. When A's income is m% more than B's income, by what percentage is B's income less than A's income ? (āϝā§āϤāĻŋāϝāĻŧāĻž A-ā§° āĻāϝāĻŧ B-ā§° āĻāϝāĻŧāϤāĻā§ m% āĻŦā§āĻāĻŋ āĻšāϝāĻŧ, āϤā§āϤāĻŋāϝāĻŧāĻž B-ā§° āĻāϝāĻŧ A-ā§° āĻāϝāĻŧāϤāĻā§ āĻāĻŋāĻŽāĻžāύ āĻļāϤāĻžāĻāĻļ āĻāĻŽ ?)
Formula: Decrease % = m / (100 + m) * 100
Example (āĻāĻĻāĻžāĻšā§°āĻŖ):
Q1. If A's income is 10% more than B's income, by what percentage is B's income less than A's income ? (A-ā§° āĻāϝāĻŧ B-ā§° āĻāϝāĻŧāϤāĻā§ 10% āĻŦā§āĻāĻŋ āĻš'āϞā§, B-ā§° āĻāϝāĻŧ A-ā§° āĻāϝāĻŧāϤāĻā§ āĻāĻŋāĻŽāĻžāύ āĻļāϤāĻžāĻāĻļ āĻāĻŽ ?)
Solution:
2. When A's income is m% less than B's income, by what percentage is B's income more than A's income ? (āϝā§āϤāĻŋāϝāĻŧāĻž A-ā§° āĻāϝāĻŧ B-ā§° āĻāϝāĻŧāϤāĻā§ m% āĻāĻŽ āĻšāϝāĻŧ, āϤā§āϤāĻŋāϝāĻŧāĻž B-ā§° āĻāϝāĻŧ A-ā§° āĻāϝāĻŧāϤāĻā§ āĻāĻŋāĻŽāĻžāύ āĻļāϤāĻžāĻāĻļ āĻŦā§āĻāĻŋ ?)
Formula: Increase % = m/(100 - m)*100
Example (āĻāĻĻāĻžāĻšā§°āĻŖ):
Q2. If A's income is 20% less than B's income, by what percentage is B's income more than A's income ? (A-ā§° āĻāϝāĻŧ B-ā§° āĻāϝāĻŧāϤāĻā§ 20% āĻāĻŽ āĻš'āϞā§, B-ā§° āĻāϝāĻŧ A-ā§° āĻāϝāĻŧāϤāĻā§ āĻāĻŋāĻŽāĻžāύ āĻļāϤāĻžāĻāĻļ āĻŦā§āĻāĻŋ ?)
Solution:
Trick
- More to Less: m / (100 + m) * 100
- Less to More: m / (100 - m) * 100