If the expenditure of company B in 2018 is ₹300 crores and the income of company A in 2015 is ₹390 crores, then by what percentage was the profit of company B in 2018 more than that of company A in 2015

Profit percentage of B in 2018 is 45%, 
Using the given formula for profit percentage and the given expenditure, we can find the income of B in 2018
$$\frac{Income-300}{300}=\frac{45}{100}$$
$$Income\ =\ 135+300=435\ crores$$
The profit by B in 2018 is $$435-300=135\ crores$$

Profit percentage of A in 2015 is 30%
Using the given formula for profit percentage and the given income, we can find the expenditure of A in 2015
$$\frac{390-Expenditure}{Expenditure}=\frac{30}{100}$$
$$3900-10Expenditure\ =\ 3Expenditure$$
$$Expenditure=300$$
The profit by A in 2015 is $$390-300=90$$

The ratio of B's profit to A's profit is $$\frac{135}{90}=\frac{3}{2}$$
Which means that B's profit is 150% of A's profit or B's profit is 50% more than A's profit. 

Hence, Option B is the correct answer.