SOLUTION: a man gets an employment of rs 6500 per month with an annual increment of rs 500. what will be his monthly salary after 15 years and what will be the total amount he earns in 15 ye
Algebra.Com
Question 1074793: a man gets an employment of rs 6500 per month with an annual increment of rs 500. what will be his monthly salary after 15 years and what will be the total amount he earns in 15 years
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
he starts off at 6500 each month and gets an annual increase of 500 a month for each year that he's with the firm.
this occurs for 15 years.
his monthly salary in the 15th year of service will be 6500 + 14 * 500 = 162,000.
by the end of the first year, he will have earned 12 * 6500 = 78,000
by the end of the second year, he will have earned 12 * 7000 = 84,000
by the end of the third year, he will have earned 12 * 7500 = 90,000
etc...
this problem uses the formulas for an arithmetic sequence.
those formulas are:
An = A1 + (n-1) * d
Sn = n * (A1 + An) / 2
you would use the An formula to find out what his monthly income is in the 15th year.
you would get:
A15 = 6500 + 14 * 500 = 13,500.
that's his monthly salary in the 15th year.
for all of the first year, he made 6500 * 12 = 78,000
for all of the fifteenth year, he made 13,500 * 12 = 162,000
the sum of his total income for all 15 years uses the Sn formula of Sn = n * (A1 + An) / 2
this formula becomes S15 = (78,000 + 162,000) / 2
the result is the S15 = 1,800,000
that's his total income for all 15 years.
the following picture shows the detailed calculation using an excel spreadsheet.
as you can see, his monthly income during the 15th year is 13,500.
his total yearly income, after adding up all 15 years of yearly income, is 1,800,000.
RELATED QUESTIONS
a man starts his job with a monthly salary and earns a fixed increment every year.if... (answered by checkley79)
The monthly salary of a person was Rs 320 for each of the first three years. He next got... (answered by Queen Dorex)
1) A man had two employments on the same day with the following salary condition:The... (answered by mananth)
. A person spends 40% of his salary on food and 30% on rent. If he saves Rs 6000 per... (answered by Cromlix)
A person starts his job with a certain monthly salary and earns a fixed increment every... (answered by solver91311)
The monthly salary of a person gets increased by 5% thereby becoming Rs 15120 per aunm .... (answered by JulietG)
A man spends on an average Rs.450 for the first 8 months & Rs. 475 for the next 4 months. (answered by Alan3354)
Jon begins a new job with an annual salary of $42,000 for his first year of employment, a (answered by stanbon)
Bob is hired by an accounting firm at a salary of $60,000 per year. Three years later his (answered by josmiceli)