Percentage (āĻļāϤāĻžāĻāĻļ) â Top 30 Standard Questions for Competitive Exams
Q / āĻĒā§ā§°āĻļā§āύ-1: If A's income is 25% more than B's income, then B's income is what percent less than A's income ? (āϝāĻĻāĻŋ A-ā§° āĻā§, B-ā§° āĻā§āϤāĻā§ 25% āĻŦā§āĻāĻŋ āĻšāϝāĻŧ, āϤā§āύā§āϤ⧠B-ā§° āĻā§, A-ā§° āĻā§āϤāĻā§ āĻāĻŋāĻŽāĻžāύ āĻļāϤāĻžāĻāĻļ āĻāĻŽ ?)
Options / āĻŦāĻŋāĻāϞā§āĻĒāϏāĻŽā§āĻš: A) 20% | B) 25% | C) 16â % | D) 33â %
Soln / āϏāĻŽāĻžāϧāĻžāύ
- Assume B's income (āϧ⧰āĻž āϝāĻžāĻāĻ, B-ā§° āĻā§) = âš100
- A's income (A-ā§° āĻā§) = 100 + 25 = âš125
- Difference (āĻĒāĻžā§°ā§āĻĨāĻā§āϝ) = 125 − 100 = âš25
- Percentage less (āĻļāϤāĻžāĻāĻļ āĻāĻŽ): 25/125 × 100 = 20%
Ans / āĻāϤā§āϤ⧰: A) 20%
Shortcut: If A is x% more than B, then B is less than A by (āϝāĻĻāĻŋ A, B-āϤāĻā§ x% āĻŦā§āĻāĻŋ āĻšāϝāĻŧ, āϤā§āύā§āϤ⧠B, A-āϤāĻā§ āĻāĻŽ āĻš'āĻŦ)
x / 100 + x × 100
Here / āĻāϝāĻŧāĻžāϤ,
x = 25
25/100 x 100 =20%
Ans / āĻāϤā§āϤ⧰: A) 20%
Q / āĻĒā§ā§°āĻļā§āύ ⧍ : A number, when 60 is subtracted from 60% of it, gives 60 as the result. Find the number. (āĻāĻāĻž āϏāĻāĻā§āϝāĻžā§° 60% ā§° āĻĒā§°āĻž 60 āĻŦāĻŋāϝāĻŧā§āĻ āĻā§°āĻŋāϞā§, āĻŦāĻŋāϝāĻŧā§āĻāĻĢāϞ 60 āĻšāϝāĻŧāĨ¤ āϏāĻāĻā§āϝāĻžāĻā§ āύāĻŋā§°ā§āĻŖāϝāĻŧ āĻā§°āĻžāĨ¤)
Options / āĻŦāĻŋāĻāϞā§āĻĒāϏāĻŽā§āĻš: A) 120 | B) 150 | C) 180 | D) 200
Soln / āϏāĻŽāĻžāϧāĻžāύ
Let the number be x. ((āϧ⧰āĻž āϝāĻžāĻāĻ, āϏāĻāĻā§āϝāĻžāĻā§ xāĨ¤)
According to the question: āĻĒā§ā§°āĻļā§āύ āĻ āύā§āϏ⧰āĻŋ,
- 60% of x − 60 = 60
- 60x / 100 = 60 + 60
- 60x / 100 = 120
- 60x = 120 × 100
- x = 120 × 100 / 60
- x = 200
Ans / āĻāϤā§āϤ⧰: D) 200
Shortcut: 60% of Number = 60 + 60 = 120
60% = 120
100% = 120 × 100 / 60 = 200
Ans / āĻāϤā§āϤ⧰: D) 200
Q3/āĻĒā§ā§°āĻļā§āύ ā§Š: Due to a 20% increase in the price of sugar, by what percentage should a family reduce its sugar consumption so that the expenditure on sugar remains unchanged ? (āĻāĻŋāύāĻŋā§° āĻŽā§āϞā§āϝ 20% āĻŦā§āĻĻā§āϧāĻŋ āĻĒā§ā§ąāĻžā§° āĻĢāϞāϤ, āĻāĻŋāύāĻŋā§° āĻŦāĻžāĻŦāĻĻ āĻā§°āĻ āĻāĻā§ ā§°āĻžāĻāĻŋāĻŦāϞ⧠āĻāĻāĻž āĻĒā§°āĻŋāϝāĻŧāĻžāϞ⧠āĻāĻŋāύāĻŋā§° āĻŦā§āĻ¯ā§ąāĻšāĻžā§° āĻāĻŋāĻŽāĻžāύ āĻļāϤāĻžāĻāĻļ āĻāĻŽāĻžāĻŦ āϞāĻžāĻāĻŋāĻŦ ?)
Options / āĻŦāĻŋāĻāϞā§āĻĒāϏāĻŽā§āĻš: A) 20% | B) 16â % | C) 25% | D) 15%
Soln / āϏāĻŽāĻžāϧāĻžāύ