SSC MTS 2022 PYQ — Question 58

SSC MTS - 20 July 2022 - Shift 1 • Quantitative Aptitude • Q58

The ratio of the quantities imported of steel and iron in 2018 was 3 : 2 and in 2020 it was 1 : 1. The ratio of the quantities imported of steel in 2018 and 2020 was 4 : 3. What was the ratio of the quantities imported of iron in 2018 and 2020?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 8 : 9.

Calculations:

The ratio of the quantities imported of steel and iron in 2018 was 3 : 2 and in 2020 it was 1 : 1

Let the quantities imported of steel and iron in 2018 be '3y' and '2y' respectively.

Let the quantities imported of steel and iron in 2020 be 'z' and 'z' respectively.

The ratio of the quantities imported of steel in 2018 and 2020 was 4 : 3

According to the question;

⇒ 3y/z = 4/3

⇒ y/z = 4/9

The required ratio of the quantity of iron in 2018 and 2020 = 2y : z

⇒ 2 × 4 : 9

⇒ 8 : 9