A and B invested ? 24000 and ?8000 for a period of 2 yr. After 2 yrs, they earned ? 48000. What will be the share of A and B out of this earning ?

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Determine the investments of A and B
- A's investment = ₹24,000
- B's investment = ₹8,000

### Step 2: Calculate the ratio of their investments
- The ratio of A's investment to B's investment is:
\[ \text{Ratio} = \frac{A's \, investment}{B's \, investment} = \frac{24000}{8000} \]
- Simplifying this ratio:
\[ \frac{24000 \div 8000}{8000 \div 8000} = \frac{3}{1} \]
- Therefore, the ratio of A to B is 3:1.

### Step 3: Calculate the total profit earned
- Total profit earned after 2 years = ₹48,000

### Step 4: Determine the total parts in the ratio
- Total parts = 3 (for A) + 1 (for B) = 4 parts

### Step 5: Calculate A's share of the profit
- A's share of the profit:
\[ A's \, share = \frac{3}{4} \times 48000 = 36000 \]

### Step 6: Calculate B's share of the profit
- B's share of the profit:
\[ B's \, share = \frac{1}{4} \times 48000 = 12000 \]

### Final Shares:
- A's share = ₹36,000
- B's share = ₹12,000

### Summary:
- A's share of the earnings is ₹36,000.
- B's share of the earnings is ₹12,000.

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