A shopkeeper earned Rs. 504 in 12 days. His average income for the first 4 days is Rs. 40. His average income for the remaining days is equal to :

Question

Accepted Answer

To determine the average income for the remaining days, we need to follow these steps:

1. **Calculate Total Income for the First 4 Days:**
   - The average income for the first 4 days is given as Rs. 40.
   - Therefore, the total income for the first 4 days = 4 days × Rs. 40/day = Rs. 160.

2. **Calculate Total Income for the Remaining 8 Days:**
   - The shopkeeper's total income for 12 days is Rs. 504.
   - Subtract the income for the first 4 days from the total income to find the income for the remaining 8 days.
   - Total income for the remaining 8 days = Rs. 504 - Rs. 160 = Rs. 344.

3. **Calculate Average Income for the Remaining 8 Days:**
   - The average income for the remaining 8 days = Total income for the remaining 8 days / Number of remaining days.
   - Average income for the remaining 8 days = Rs. 344 / 8 days = Rs. 43.

Therefore, the average income for the remaining days is Rs. 43, which corresponds to Option 4.

**Explanation for Why Other Options are Incorrect:**

- **Option 1 (Rs. 40):** This option suggests that the average income for the remaining days is the same as the first 4 days, which is incorrect because the calculations show it is Rs. 43.

- **Option 2 (Rs. 41):** This option underestimates the average income for the remaining days. The correct calculation shows that the average is Rs. 43, not Rs. 41.

- **Option 3 (Rs. 42):** This option is close but still incorrect. The precise calculation demonstrates that the average income for the remaining days is Rs. 43, not Rs. 42.

In conclusion, the correct answer is Option 4, Rs. 43, as it accurately reflects the average income for the remaining 8 days based on the given data and calculations.