SSC Selection Post 2023 PYQ — Question 62

SSC Selection Post - Matriculation Level - 30 June 2023 - Shift 4 • Quantitative Aptitude • Q62

If 30% of P= 0.25 of Q = 15{1\over 5} of S, then P : Q : R is _________.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 10 : 12 : 15.

30% of P = 0.25 of Q = 1/5​ of S

⇒ 30​/100 P = 1/4 ​ Q = 1/5 ​S

Let this common value be x. Then:

⇒ 30100P=x⇒P=100x30=10x3\frac{30}{100}P = x \Rightarrow P = \frac{100x}{30} = \frac{10x}{3}

14Q=x⇒Q=4x\frac{1}{4}Q = x \Rightarrow Q = 4x

⇒ 15S=x⇒S=5x\frac{1}{5}S = x \Rightarrow S = 5x

P : Q : S = 10x/3 ​ : 4x : 5x

10x : 12x : 15x ⇒ 10 : 12 : 15