Sumit is 28% less efficient than Amit. If Amit can make a wall in 54 days, then Sumit can complete the same work in how many days?

Options

A. 75
B. 70
C. 72
D. 76

Answer

To solve the problem, we need to determine how many days Sumit will take to complete the same work that Amit can do in 54 days, given that Sumit is 28% less efficient than Amit.

### Step-by-Step Solution:

1. **Understanding Efficiency**:
- Let Amit's efficiency be represented as 100% (or a value of 25 units of work per day for easier calculation).
- Since Sumit is 28% less efficient than Amit, we can calculate Sumit’s efficiency:
\[ \text{Sumit's efficiency} = 100\% - 28\% = 72\% \]
- In terms of work units, if Amit's efficiency is 25 units, then Sumit's efficiency is:
\[ \text{Sumit's efficiency} = 72\% \text{ of } 25 = \frac{72}{100} \times 25 = 18 \text{ units per day} \]

2. **Calculating Total Work**:
- Amit can complete the wall in 54 days. Therefore, the total work can be calculated as:
\[ \text{Total Work} = \text{Amit's efficiency} \times \text{Days taken by Amit} = 25 \text{ units/day} \times 54 \text{ days} = 1350 \text{ units} \]

3. **Calculating Time Taken by Sumit**:
- Now, we need to find out how many days Sumit will take to complete the same total work of 1350 units with his efficiency of 18 units per day:
\[ \text{Days taken by Sumit} = \frac{\text{Total Work}}{\text{Sumit's efficiency}} = \frac{1350 \text{ units}}{18 \text{ units/day}} = 75 \text{ days} \]

### Final Answer:
Sumit can complete the work in **75 days**.