Instructions

Study the given bar graph and answer the questions that follows.

Profit percent = $$\frac{Income - Expenditure}{Expenditure} \times 100$$

Question 73

# If the expenditures of companies A and B in 2019 were equal and the total income ofboth companies was ₹354 crores, then what was the total expenditure (in ₹ crores) of Aand B in that year?

Solution

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