Trick – 1 : Percentage Tricks (āĻļāϤāϕ⧰āĻž āĻšāĻŋāϚāĻžāĻĒā§° āĻ•ā§ŒāĻļāϞ)


Percentage Tricks (āĻļāϤāϕ⧰āĻž āĻšāĻŋāϚāĻžāĻĒā§° āĻ•ā§ŒāĻļāϞ)



Trick:



  • More to Less: m / (100 + m) * 100

  • Less to More: m / (100 - m) * 100




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1. When A's income is m% more than B's income, by what percentage is B's income less than A's income ? (āϝ⧇āϤāĻŋāϝāĻŧāĻž A-ā§° āφāϝāĻŧ B-ā§° āφāϝāĻŧāϤāĻ•ā§ˆ m% āĻŦ⧇āĻ›āĻŋ āĻšāϝāĻŧ, āϤ⧇āϤāĻŋāϝāĻŧāĻž B-ā§° āφāϝāĻŧ A-ā§° āφāϝāĻŧāϤāĻ•ā§ˆ āĻ•āĻŋāĻŽāĻžāύ āĻļāϤāĻžāĻ‚āĻļ āĻ•āĻŽ ?)


Formula: Decrease % = m / (100 + m) * 100


Example (āωāĻĻāĻžāĻšā§°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§° āφāϝāĻŧ B-ā§° āφāϝāĻŧāϤāĻ•ā§ˆ 10% āĻŦ⧇āĻ›āĻŋ āĻš'āϞ⧇, B-ā§° āφāϝāĻŧ A-ā§° āφāϝāĻŧāϤāĻ•ā§ˆ āĻ•āĻŋāĻŽāĻžāύ āĻļāϤāĻžāĻ‚āĻļ āĻ•āĻŽ ?)


Solution:


= 10 / 100 + 10 * 100

= 10 / 110 * 100

= 9 1/11% 

Ans: 9 1/11%

2. When A's income is m% less than B's income, by what percentage is B's income more than A's income ? (āϝ⧇āϤāĻŋāϝāĻŧāĻž A-ā§° āφāϝāĻŧ B-ā§° āφāϝāĻŧāϤāĻ•ā§ˆ m% āĻ•āĻŽ āĻšāϝāĻŧ, āϤ⧇āϤāĻŋāϝāĻŧāĻž B-ā§° āφāϝāĻŧ A-ā§° āφāϝāĻŧāϤāĻ•ā§ˆ āĻ•āĻŋāĻŽāĻžāύ āĻļāϤāĻžāĻ‚āĻļ āĻŦ⧇āĻ›āĻŋ ?)


Formula: Increase % = m/(100 - m)*100


Example (āωāĻĻāĻžāĻšā§°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§° āφāϝāĻŧ B-ā§° āφāϝāĻŧāϤāĻ•ā§ˆ 20% āĻ•āĻŽ āĻš'āϞ⧇, B-ā§° āφāϝāĻŧ A-ā§° āφāϝāĻŧāϤāĻ•ā§ˆ āĻ•āĻŋāĻŽāĻžāύ āĻļāϤāĻžāĻ‚āĻļ āĻŦ⧇āĻ›āĻŋ ?)


Solution:


= 20 / 100-20 * 100

= 20 / 80 * 100

= 25 %

Ans: 25%

Trick



  • More to Less: m / (100 + m) * 100

  • Less to More: m / (100 - m) * 100






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