In the year 2023, if the income of Company B was ₹70 Crores, then what was the…
2024
In the year 2023, if the income of Company B was ₹70 Crores, then what was the expenditure of the Company B in that year?
Answer: D. ₹50 Crore — Concept: Profit is the excess of income (revenue) over expenditure (cost), and in commercial arithmetic the profit percent is always measured on the…
- A.
₹20 Crore
- B.
₹30 Crore
- C.
₹40 Crore
- D.
₹50 Crore
Show answer & explanation
Correct answer: D
Concept: Profit is the excess of income (revenue) over expenditure (cost), and in commercial arithmetic the profit percent is always measured on the expenditure, never on the income. So Profit % = (Income − Expenditure) ÷ Expenditure × 100, which rearranges to Income = Expenditure × (100 + Profit %) ÷ 100. A profit percentage read off a table is therefore a multiplier that converts a cost into a revenue.
Application: read the 2023 row of the table for Company B and apply that multiplier.
From the table, the profit percent earned by Company B in 2023 is 40%.
Let the expenditure of Company B in that year be E crore; its income for the year is given as ₹70 crore.
Substituting in Income = Expenditure × (100 + Profit %) ÷ 100 gives 70 = E × 140 ÷ 100.
Simplifying the multiplier, 140 ÷ 100 = 7/5, so 70 = 7E/5, i.e. 7E = 350.
Dividing by 7, E = 350 ÷ 7 = 50.
Cross-check: an expenditure of ₹50 crore against an income of ₹70 crore leaves a profit of 70 − 50 = ₹20 crore, and 20 ÷ 50 × 100 = 40%, exactly the figure the table records for Company B in 2023.
Common pitfall: taking the percentage on the income instead gives 40% of ₹70 crore = ₹28 crore of profit and ₹42 crore of expenditure. That treats revenue as the base, which is not how profit percent is defined, and ₹42 crore is not among the choices.
Hence the expenditure of Company B in 2023 was ₹50 crore.