Ali and ojo interest N7000 and N14000 the profit is shared between them in the ratio of their investment how much does each get if the profit ofN51840 is made

Answer 1

To determine how much each person gets, we need to first find the ratio of their investments and then apply this ratio to the total profit.

**Step 1: Calculate the Ratio of Investments**

Ali's investment: N7,000
Ojo's investment: N14,000

The ratio of their investments is \( 7,000 : 14,000 \). Simplifying this,

\[
\frac{7000}{7000} : \frac{14000}{7000} = 1 : 2
\]

**Step 2: Apply the Ratio to the Total Profit**

Total profit: N51,840

This total profit should be split in the ratio of 1:2. To find out how much each share is, we first find the total number of parts in this ratio:

\[
1 + 2 = 3 \text{ parts}
\]

**Step 3: Calculate the Value of Each Part**

Each part of the profit can be calculated by dividing the total profit by the total number of parts:

\[
\text{Value of one part} = \frac{51,840}{3} = 17,280
\]

**Step 4: Distribute the Profit According to the Ratio**

- Ali's share: \( 1 \text{ part} = N17,280 \)
- Ojo's share: \( 2 \text{ parts} = 2 \times 17,280 = N34,560 \)

So, Ali gets N17,280 and Ojo gets N34,560.