Question: User: Mr jashim is a contractor. He gets a job to repair $2$km road in $30$ days in $2lac$. To do this he appointed $20$ workers. But after $12$ days of work the work has stopped for $4$ days due to rough weather. After finishing the costing become $225000tk$. Now find the extra workers to finish the work at time

1. **State the problem:** Mr Jashim needs to repair a $2$ km road in $30$ days with an initial budget of $200000$. He hired $20$ workers. After $12$ days, work stopped for $4$ days due to weather. The total cost after finishing is $225000$. We need to find how many extra workers are required to finish the work on time. 2. **Understand the work and cost relationship:** - Total work = $2$ km road. - Initial workers = $20$. - Total days = $30$. - Work done in $12$ days by $20$ workers = $20 \times 12 = 240$ worker-days. 3. **Calculate total worker-days needed:** - Initial cost = $200000$ for $20$ workers and $30$ days. - Cost per worker-day = $\frac{200000}{20 \times 30} = \frac{200000}{600} = 333.33$ per worker-day. - Actual cost = $225000$. - Total worker-days used = $\frac{225000}{333.33} = 675$ worker-days. 4. **Calculate remaining work and days:** - Work done in $12$ days = $240$ worker-days. - Remaining work = $675 - 240 = 435$ worker-days. - Days left (excluding $4$ days stoppage) = $30 - 12 - 4 = 14$ days. 5. **Find number of workers needed to finish remaining work in $14$ days:** $$ \text{Workers} = \frac{\text{Remaining worker-days}}{\text{Remaining days}} = \frac{435}{14} = 31.07 $$ 6. **Calculate extra workers needed:** $$ \text{Extra workers} = 31.07 - 20 = 11.07 \approx 11 $$ **Answer:** Mr Jashim needs approximately $11$ extra workers to finish the work on time.