yakubu and bello owned a business in which the ratio of their shars was 3:5, respectively. if yakubu later sold 3/4 of his share to bello for N180000, what is the value of the business?

Answer 1

Let's first find out the initial value of the business before any transactions were made.

Since the ratio of Yakubu's share to Bello's share is 3:5, this means that the total number of parts in the business is 3+5=8. Therefore, Yakubu's initial share represents 3/8 of the business, and Bello's initial share represents 5/8 of the business.

Let's call the initial value of the business "V". Then, we can write:

3/8 V : 5/8 V = 3:5

To solve for V, we can cross-multiply and simplify:

(3/8)V x 5 = (5/8)V x 3

15/40 V = 15/40 V

V = V

So, the initial value of the business is V.

Now, let's consider what happens when Yakubu sells 3/4 of his share to Bello for N180000.

Since Yakubu initially owned 3/8 of the business, he sold 3/4 x 3/8 = 9/32 of the business to Bello.

After the sale, Yakubu now owns 3/8 - 9/32 = 3/32 of the business.

Bello now owns his initial share of 5/8 plus the 9/32 that he bought from Yakubu, which equals 45/32 of the business.

Since the entire business is now represented by Yakubu's remaining 3/32 share and Bello's 45/32 share, we can write:

3/32 V : 45/32 V = 3 : 45

To solve for V, we can cross-multiply and simplify:

(3/32)V x 45 = (45/32)V x 3

135/32 V = 135/32 V

V = V

Therefore, the value of the business is still V after the transaction. We just needed to find out what V was based on the initial ratio of Yakubu's and Bello's shares, which was given as 3:5.