A construction company is owned by two partners X and Y and it is agreed that their profit will be divided in the ratio 4:5. At the end of the year, Y received N5000 more than X. What is the total profit of the company for the year?
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Correct Answer: Option D
Explanation:
To find the total profit of the company, follow these steps:
1. Determine the ratio of profit shares:
The profit is divided in the ratio \(4:5\). Let's denote the profits of X and Y as \(4k\) and \(5k\) respectively.
2. Set up the equation based on the information given:
We know that Y received N5000 more than X. Therefore:
\[
5k - 4k = 5000
\]
\[
k = 5000
\]
3. Calculate the total profit:
Total profit = Profit of X + Profit of Y
\[
\text{Total profit} = 4k + 5k = 9k
\]
Substituting \(k = 5000\):
\[
\text{Total profit} = 9 \times 5000 = 45000
\]
The total profit of the company for the year is:
D. 45000
To find the total profit of the company, follow these steps:
1. Determine the ratio of profit shares:
The profit is divided in the ratio \(4:5\). Let's denote the profits of X and Y as \(4k\) and \(5k\) respectively.
2. Set up the equation based on the information given:
We know that Y received N5000 more than X. Therefore:
\[
5k - 4k = 5000
\]
\[
k = 5000
\]
3. Calculate the total profit:
Total profit = Profit of X + Profit of Y
\[
\text{Total profit} = 4k + 5k = 9k
\]
Substituting \(k = 5000\):
\[
\text{Total profit} = 9 \times 5000 = 45000
\]
The total profit of the company for the year is:
D. 45000