The following table shows the Income (in lakh) and percentage (%) profit of a company over the six years from 2017 to 2022. Based on the data in the table, answer the questions that follow.
Year-wise Income and Profit of a Company
| Year | Income (in ₹ lakh) | Profit (%) |
| 2017 | 120 | 7.5 |
| 2018 | 160 | 15 |
| 2019 | 130 | 22.5 |
| 2020 | 170 | 17.5 |
| 2021 | 190 | 20 |
| 2022 | 150 | 27.5 |
If the percentage profit in 2021 was 25% instead of 20% than what would have been the expenditure in that year?
130 lakh
148 lakh
120 lakh
152 lakh
152 lakh
The correct answer is 152 lakh.
Based on the provided table, we can analyze the data points for the year 2021:
- Income in 2021 = 190 lakh rupees
- Original Profit percentage in 2021 = 20%
The question asks for the expenditure in 2021 if the profit percentage had been 25% instead of 20%.
We use the standard formula relating Income, Expenditure, and Profit Percentage:
Let the expenditure in 2021 be represented by (in lakh rupees). Substituting the given values into the formula:
Now, we solve for step-by-step:
Divide both sides by 100:
Simplify the fraction on the left side:
Add 1 to both sides of the equation:
Combine the terms on the right side:
Cross-multiply to solve for :
Calculate the product on the right side:
Divide by 5:
Therefore, if the profit percentage had been 25%, the expenditure in the year 2021 would have been 152 lakh.