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?
Correct Answer :
152 lakh
Solution :
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.
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