SSC Selection Post 2023 PYQ — Question 55

SSC Selection Post - Matriculation Level - 27 June 2023 - Shift 1 • Quantitative Aptitude • Q55

If 20% of a number is subtracted from a second number and the second number decreases to its 70%, then what is the ratio of the first number to the second number?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 3:2.

Let;

First number = x

Second number = y

According to the question:

⇒ y − 20% of x = 70% of y

⇒ y − 20/100 x = 70/100 y

⇒ 100y − 20x = 70y

⇒ 30y = 20x

⇒ 3y = 2x

⇒ y/x ​= 2/3​