45% of a number is same as 30% of another number. The ratio of the first number to the second number is || ADRE 1.0 SLRC 2022 PAPER-III SOLVED QUESTIONS

45% of a number is same as 30% of another number. The ratio of the first number to the second number is:

(A) 2:3 

(B) 3:2 

(C) 3:5 

(D) 2:5




Solution:


To solve the problem where 45% of a number equals 30% of another number, and find the ratio of the first number to the second number, follow these steps:


Let's denote:

  • The first number as x
  • The seconde number as y

According to the problem statement:

45%of x = 30% of y

⇒45/100*x = 30/100*y

⇒x/y = (30/100)/(45/100)

⇒x/y = 30/45

⇒x/y= 2/3


Therefore, the ratio of the first number to the second number is 2:3


So, the correct answer is: (A) 2:3



Importance of the question:

  • Previously asked in ADRE SLRC 2022 Paper III for the Grade-III posts. 
  • Tests understanding of percentages.
  • Practice calculating ratios between quantities.
  • Enhances problem-solving skills.
  • Applicable in real-life scenarios like finance and comparisons.
  • Common in various exams for numerical reasoning.


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