Question 68

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?

Solution

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

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

Let's assume the quantities imported of steel and iron in 2020 were 'z' and 'z' respectively.

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

$$\frac{3y}{z}\ =\ \frac{4}{3}$$

$$\frac{y}{z}\ =\ \frac{4}{9}$$    Eq.(i)

Ratio of the quantities imported of iron in 2018 and 2020 = 2y : z

= $$2\times4 : 9$$ [By Eq.(i)]

= 8 : 9


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