SSC GD 2019 PYQ — Question 54

SSC GD Constable (English) - 18 Feb 2019 Shift 2 • Quantitative Aptitude • Q54

If 40% of a number is 105 more than the one-fourth of that number, then what will be the difference between the number and 35% of the number?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 455.

Understanding/Application

Let the number be 100x.

ATQ - 

40(100x)/100 = 100x/4 + 105

40x - 25x = 105

15x = 105

x = 7

Difference between the number and 35% of the number = 65% of the number = 65x

65x = 65(7) = 455