A contractor employed 18 labourers at Rs 12 per day, 10 labourers at Rs 13.50 per day, 5 labourers at Rs 25 per day and 2 labourers at Rs 42 per day. The average wage of a labourer per day is

Options

A. Rs 16
B. Rs 20
C. Rs 24
D. Rs 28

Answer

To find the average wage of a labourer per day, we will follow these steps:

### Step 1: Calculate the total wage for each group of labourers.
1. For 18 labourers at Rs 12 per day:
\[ \text{Total wage} = 18 \times 12 = 216 \text{ Rs} \]

2. For 10 labourers at Rs 13.50 per day:
\[ \text{Total wage} = 10 \times 13.50 = 135 \text{ Rs} \]

3. For 5 labourers at Rs 25 per day:
\[ \text{Total wage} = 5 \times 25 = 125 \text{ Rs} \]

4. For 2 labourers at Rs 42 per day:
\[ \text{Total wage} = 2 \times 42 = 84 \text{ Rs} \]

### Step 2: Sum the total wages calculated for all groups.
\[ \text{Total wage paid} = 216 + 135 + 125 + 84 \]
Calculating this gives:
\[ \text{Total wage paid} = 560 \text{ Rs} \]

### Step 3: Calculate the total number of labourers.
\[ \text{Total number of labourers} = 18 + 10 + 5 + 2 = 35 \]

### Step 4: Calculate the average wage per labourer.
\[ \text{Average wage} = \frac{\text{Total wage paid}}{\text{Total number of labourers}} = \frac{560}{35} \]
Calculating this gives:
\[ \text{Average wage} = 16 \text{ Rs per day} \]

### Final Answer:
The average wage of a labourer per day is Rs 16.

---