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The average monthly salary of a person for the months of January, February, March and April is ₹8,000 and that for the months of February, March, April and May is ₹8,500. If his salary for the month of May is ₹6,500, find his salary for the month of January.
₹4,500
₹5,000
₹2,500
₹3,000
₹4,500
Subtract the first four-month sum from the second four-month sum to directly get the difference between May and January.
Average salary of Jan, Feb, Mar, Apr = ₹8,000; Average salary of Feb, Mar, Apr, May = ₹8,500; Salary for May = ₹6,500
TotalJan−Apr=4×8000
Subtract the first four-month sum from the second four-month sum to directly get the difference between May and January.
Multiplying the average by 5 instead of 4 since each average is calculated over a 4-month period.
Calculate total salary for January, February, March, and April
Given the average salary for 4 months is ₹8,000, we find the total sum by multiplying by 4.
Sum1=4×8000=32000
Calculate total salary for February, March, April, and May
Given the average salary for these 4 months is ₹8,500, we find the total sum by multiplying by 4.
Sum2=4×8500=34000
Find the difference between May and January
Subtracting the first sum from the second sum eliminates February, March, and April.
May−Jan=34000−32000=2000
Calculate January's salary using May's salary
Given May's salary is ₹6,500, we can find January's salary by substituting May's value.
Jan=6500−2000=4500
A is correct because the salary for January is calculated to be ₹4,500.
Similar overlapping period problems often appear in calendar-based average and weight statistics.
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