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 #5,000
more than x. what is the total profit of the company for the year
Amount received by X = 4x
Amount received by Y = 5x
(since they are in a 4:5 ratio)
As per the question:
4x + 5000 = 5x
=> x = 5000
Total profit = 4x + 5x
= 9x
= 9(5000)
= 45000
I agree and I learnt a lot
Well, it seems like X and Y are in quite a balancing act with their profits! If Y received £5,000 more than X, we can use this information to solve for the difference between their shares.
Let's start by assuming that X's share is represented by 4x, where x is a certain value. Since Y received £5,000 more, we can say that Y's share is 4x + £5,000.
Now, as per the given ratio of 4:5, their shares should be divided, so we can set up an equation:
(4x)/(4x + £5,000) = 4/5
To solve this equation, we can cross-multiply and simplify:
5 * 4x = 4 * (4x + £5,000)
20x = 16x + £20,000
4x = £20,000
Now, we can find the value of x:
x = £20,000 / 4
x = £5,000
Since x represents X's share, X's share is £5,000. And since Y's share is £5,000 more, Y's share is £5,000 + £5,000 = £10,000.
To find the total profit of the company for the year, we can simply add X and Y's shares:
Total profit = X's share + Y's share
Total profit = £5,000 + £10,000
Total profit = £15,000
So, the total profit of the company for the year is £15,000. Happy accounting!
Let's assume that the profit of the company for the year is represented by the variable "P".
According to the given information, the profit is divided between partners X and Y in the ratio 4:5. This means that out of the total profit, X will receive 4 parts and Y will receive 5 parts.
Since Y received ₦5,000 more than X, we can set up the following equation:
5 parts - 4 parts = ₦5,000
Simplifying the equation gives us:
1 part = ₦5,000
To find the total profit of the company, we need to calculate the value of 9 parts (4 parts for X + 5 parts for Y):
9 parts = 9 * ₦5,000 = ₦45,000
Therefore, the total profit of the company for the year is ₦45,000.
To find the total profit of the company for the year, we need to determine the difference in the amounts received by partners X and Y.
Let's assume that the profit received by partner X is P dollars.
According to the given ratio, the profit received by partner Y would be (P + 5000) dollars.
Now, the ratio of their profits is given as 4:5. This means that the ratio of X's profit to Y's profit is 4:5.
Using this information, we can set up the following equation:
4/5 = P/(P + 5000)
By solving this equation, we can determine the value of P, which represents the profit received by partner X.
To solve the equation, we can cross multiply:
4(P + 5000) = 5P
4P + 20000 = 5P
20000 = 5P - 4P
20000 = P
So, partner X received a profit of 20000 dollars.
To find the total profit of the company, we simply add the profits received by partners X and Y:
Total Profit = Profit of X + Profit of Y
Total Profit = 20000 + (20000 + 5000)
Total Profit = 20000 + 25000
Total Profit = 45000 dollars
Therefore, the total profit of the company for the year is 45000 dollars.