Study the following graph and answer the question. Percentage profit earned by companies A and B during 2017 to 2020
$\text{Percentage profit} = \frac{\text{Income - Expenditure}}{\text{Expenditure}} \times 100$
Profit = Income - Expenditure
If the total income of both the companies in 2019 was ₹428.8 crores and the ratio of the expenditure of A to that of B in the same year was 2: 3, then the expenditure (in crores) of A in that year was:
1. Understand the given information:
We are given a graph showing the percentage profit of companies A and B from 2017 to 2020. The formula for percentage profit is provided: Percentage Profit = [(Income - Expenditure) / Expenditure] × 100. We are also given that the total income of both companies in 2019 was ₹428.8 crores, and the ratio of expenditure of A to B in 2019 was 2:3.
2. Extract relevant data from the graph:
From the graph, we find that in 2019, company A had a 20% profit and company B had a 40% profit.
3. Set up equations based on the given information:
Let's denote the expenditure of company A in 2019 as 2x and the expenditure of company B as 3x (based on the given 2:3 ratio).
For company A: Percentage Profit = 20% = [(IncomeA - 2x) / 2x] × 100
For company B: Percentage Profit = 40% = [(IncomeB - 3x) / 3x] × 100
We also know that IncomeA + IncomeB = 428.8 crores.
4. Solve the equations:
Solving the equations for company A and B:
0.2 = (IncomeA - 2x) / 2x => IncomeA = 2.2x
0.4 = (IncomeB - 3x) / 3x => IncomeB = 4.4x
Substituting these into IncomeA + IncomeB = 428.8:
2.2x + 4.4x = 428.8
6.6x = 428.8
x = 428.8 / 6.6 = 65
Therefore, the expenditure of company A in 2019 was 2x = 2 * 65 = 130 crores.
5. Identify the correct answer and eliminate incorrect options:
There's an error in the calculations above. Let's re-examine.
For Company A: 0.2 = (IncomeA - 2x)/2x => IncomeA = 1.2(2x) = 2.4x
For Company B: 0.4 = (IncomeB - 3x)/3x => IncomeB = 1.4(3x) = 4.2x
2.4x + 4.2x = 428.8
6.6x = 428.8
x = 65
Expenditure of A = 2x = 2 * 65 = 130 crores. There appears to be a discrepancy between the provided answer and the calculation. Rechecking the provided data is necessary.
However, based on the provided answer, option 2 (128) seems incorrect. Option 3 (124) and option 4 (130) are also incorrect because of calculations shown above.
#BBD0E0 »Important Questions from Line Graph
Akshay has 30 articles, each having the same cost price. He marked the price of each article at 30% above its cost price. He sold 15 of the articles at a discount of 20% each, and the remaining 15 articles at a discount of 10% each, thereby gaining a total profit of Rs. 630. What was the cost price of each article?
Approximately, by what percent the number of candidates interviewed by SBI on Thursday increased with respect to that interviewed on previous day?
What is the number of candidates interviewed by all the Banks on Tuesday?
What is the ratio of the number of candidates interviewed by SBI on Friday and Saturday together to that of candidates interviewed by BOI on the same two days?
The given line graph shows the data of Mango exports in India from year 2018 to 2021. Study the given line graph and answer the question. [Line graph showing export data]. In which year was the value per hundred units the minimum?
