A and B start a business by investing ? 4000 and ? 12000, respectively. Find the ratio of their profits after 1 yr.

Answer

To solve the problem of finding the ratio of profits between A and B based on their investments, we can follow these steps:

### Step 1: Identify the investments
- A invests: ₹4000
- B invests: ₹12000

### Step 2: Write the ratio of their investments
- The ratio of A's investment to B's investment can be written as:
\[ \text{Ratio} = \frac{\text{Investment of A}}{\text{Investment of B}} = \frac{4000}{12000} \]

### Step 3: Simplify the ratio
- To simplify the ratio, we can divide both the numerator and the denominator by 4000:
\[ \frac{4000 \div 4000}{12000 \div 4000} = \frac{1}{3} \]

### Step 4: State the final ratio of profits
- Therefore, the ratio of their profits after 1 year will be the same as the ratio of their investments:
\[ \text{Ratio of profits} = 1 : 3 \]

### Final Answer:
The ratio of profits between A and B after 1 year is **1 : 3**.

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