Question
Download Solution PDFComprehension
The following table shows the Income and Expenditure (in million Rs.) of five companies A-E in the year 2021. The percent profit or loss of a company is given by:
(Profit/Loss) % = [(Income - Expenditure)/ Expenditure] × 100
Based on the data in the table, answer the questions.
Company wise Income and Expenditure in the year 2021
| Company | Income (in million Rs.) | Expenditure (in million Rs.) |
| A | 35 | 45 |
| B | 50 | 40 |
| C | 40 | 45 |
| D | 40 | 30 |
| E | 50 | 45 |
If the income of Company D in 2021 was 10% more than its income in 2020 and the company had earned a profit of 20% in 2020, then its expenditure (in million Rs.) in 2020 was approximately _______
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFLet's denote the income of Company D in 2020 as I. Given that the income in 2021 is 10% more than its income in 2020, we can write the income in 2021 as I + 0.10I = 1.10I. From the data provided, we know that the income of Company D in 2021 is 40 million Rs. Therefore, we can solve the following equation for I:
1.10I = 40
which gives us
I = 40 / 1.10 ≈ 36.36 million Rs.
So, the income of Company D in 2020 was approximately 36.36 million Rs.
The company earned a profit of 20% in 2020, so its expenditure E can be found from the equation:
Profit = Income - Expenditure
We can rewrite this equation using the definition of percentage profit:
0.20 = (I - E) / E
Substituting I = 36.36, we get:
0.20 = (36.36 - E) / E
Solving for E gives us approximately 30.30 million Rs.
So, the expenditure of Company D in 2020 was approximately 30.30 million Rs.
Last updated on Jul 17, 2025
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