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 CroreConcept: Profit is the excess of income (revenue) over expenditure (cost), and in commercial arithmetic the profit percent is always measured on the…

  1. A.

    ₹20 Crore

  2. B.

    ₹30 Crore

  3. C.

    ₹40 Crore

  4. 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.

  1. From the table, the profit percent earned by Company B in 2023 is 40%.

  2. Let the expenditure of Company B in that year be E crore; its income for the year is given as ₹70 crore.

  3. Substituting in Income = Expenditure × (100 + Profit %) ÷ 100 gives 70 = E × 140 ÷ 100.

  4. Simplifying the multiplier, 140 ÷ 100 = 7/5, so 70 = 7E/5, i.e. 7E = 350.

  5. 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.

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