Study the given bar graph and answer the questions that follows.
Profit percent = $$\frac{Income - Expenditure}{Expenditure} \times 100$$
If the expenditures of companies A and B in 2019 were equal and the total income of
both companies was ₹354 crores, then what was the total expenditure (in ₹ crores) of A
and B in that year?
It is given in the question that Profit percent = $$\frac{Income - Expenditure}{Expenditure} \times 100$$.
That means profit is calculated as a percent of expenditure.
Income = Expenditure + $$\frac{profit percent * Expenditure}{100}$$
Let 'e' be the expenditure company A in 2019.
The profit percentage of company A is 55, and B's is 40.
The income of company A in 2019 = Expenditure + $$\frac{profit percent * Expenditure}{100}$$ = e+$$\frac{55 * e}{100}$$=1.55e
The income of company B in 2019 = Expenditure + $$\frac{profit percent * Expenditure}{100}$$ = e+$$\frac{40 * e}{100}$$=1.4e
The total income of companies A and B in 2019 is 1.55e+1.4e = 2.95e.
Given that the total income of both companies was ₹354 crores.
So, 2.95e = 354
$$\Rightarrow$$ e = 120.
Then the total expenditure (in ₹ crores) of A and B in 2019 is 2e = 2*120=240