Starting with 8000 workers, the company increases the number of workers by 5%, 10% and 20% at the end of first, second and third year respectively. The num ber of workers in the fourth year was

Options

A. 10188
B. 11088
C. 11008
D. 11808

Answer

To solve the problem step-by-step, we will calculate the number of workers at the end of each year after applying the respective percentage increases.

### Step 1: Calculate the number of workers after the first year
- **Initial number of workers**: 8000
- **Increase in the first year**: 5% of 8000

**Calculation**:
\[ \text{Increase} = \frac{5}{100} \times 8000 = 0.05 \times 8000 = 400 \]
\[ \text{Number of workers after the first year} = 8000 + 400 = 8400 \]

### Step 2: Calculate the number of workers after the second year
- **Number of workers at the beginning of the second year**: 8400
- **Increase in the second year**: 10% of 8400

**Calculation**:
\[ \text{Increase} = \frac{10}{100} \times 8400 = 0.10 \times 8400 = 840 \]
\[ \text{Number of workers after the second year} = 8400 + 840 = 9240 \]

### Step 3: Calculate the number of workers after the third year
- **Number of workers at the beginning of the third year**: 9240
- **Increase in the third year**: 20% of 9240

**Calculation**:
\[ \text{Increase} = \frac{20}{100} \times 9240 = 0.20 \times 9240 = 1848 \]
\[ \text{Number of workers after the third year} = 9240 + 1848 = 11088 \]

### Step 4: Conclusion for the fourth year
- The number of workers at the end of the third year is 11088. Since the question asks for the number of workers in the fourth year, we can state that the number of workers remains the same unless specified otherwise.

**Final Answer**: The number of workers in the fourth year is **11088**.

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