Ravi and Kavi start a business by investing X 8000 and X 72000, respectively. Find the ratio of their profits at the end of year.

Options

A. `2:9`
B. `5:9`
C. `7:9`
D. `1:9`

Answer

To find the ratio of the profits of Ravi and Kavi based on their investments, we can follow these steps:

### Step 1: Identify the investments
Ravi invests ₹8000 and Kavi invests ₹72000.

### Step 2: Write down the investments
Let’s denote Ravi's investment as R and Kavi's investment as K.
- R = ₹8000
- K = ₹72000

### Step 3: Find the ratio of their investments
The ratio of their investments can be expressed as:
\[ \text{Ratio} = \frac{R}{K} = \frac{8000}{72000} \]

### Step 4: Simplify the ratio
To simplify the ratio, we can divide both the numerator and the denominator by 8000:
\[ \frac{8000 \div 8000}{72000 \div 8000} = \frac{1}{9} \]

### Step 5: State the final ratio
Thus, the ratio of their profits at the end of the year is:
\[ \text{Ratio of profits} = 1:9 \]