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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