A man's pension on retirement from service is equal to half the average salary during the last of his service. His salary from 1-1-1983 is per month, with increment of due on 1-10-83, 1-10-84 and 1-10-85. If he retires on 1-1-86, what pension does he draw per month?
- A₹ 205
- B₹ 215
- C₹ 225
- D₹ 230
Solution & Step-by-step Explanation
Let's calculate the man's monthly salary over the last () before his retirement on 1-1-1986:
1. **From 1-1-1983 to 30-9-1983 ():**
2. **From 1-10-1983 to 30-9-1984 ():**
An increment of is added.
3. **From 1-10-1984 to 30-9-1985 ():**
Another increment of is added.
4. **From 1-10-1985 to 31-12-1985 ():**
A final increment of is added.
Now, let's find the total salary earned during the last :
The average monthly salary is:
The pension is equal to half of this average salary:
1. **From 1-1-1983 to 30-9-1983 ():**
2. **From 1-10-1983 to 30-9-1984 ():**
An increment of is added.
3. **From 1-10-1984 to 30-9-1985 ():**
Another increment of is added.
4. **From 1-10-1985 to 31-12-1985 ():**
A final increment of is added.
Now, let's find the total salary earned during the last :
The average monthly salary is:
The pension is equal to half of this average salary: