Question = Supriya started working in an office in 1995 where her annual income is 5000 and received an increase of 200 rupees each year. In which year did her salary reach 7000 ?
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Answers
Answered by
18
Hey Bro !!
Thanks for the question.
Given,
Supriya started working from 1995.
Starting Salary = 5000
Increase in salary each year = 200
Let, a = 5000 and d = 200
5000, 5200, 5400......7000 are in AP.
an = 7000
a + ( n - 1 ) d = 7000
5000 + ( n - 1 )200 = 7000
5000 + 200n - 200 = 7000
4800 + 200n = 7000
200n = 7000 - 4800
200n = 2200
n = 2200/200
n = 11
Therefore, her salary reaches 7000 in 2006
Thanks for the question.
Given,
Supriya started working from 1995.
Starting Salary = 5000
Increase in salary each year = 200
Let, a = 5000 and d = 200
5000, 5200, 5400......7000 are in AP.
an = 7000
a + ( n - 1 ) d = 7000
5000 + ( n - 1 )200 = 7000
5000 + 200n - 200 = 7000
4800 + 200n = 7000
200n = 7000 - 4800
200n = 2200
n = 2200/200
n = 11
Therefore, her salary reaches 7000 in 2006
TooFree:
1995 - Rs 5000 / 1996 - Rs 5200 / 1997 - Rs5400 / 1998- Rs 5600 / 2000 - Rs 5800/ 2001 - Rs 6000 / 2002- Rs 6200 / 2003 - Rs 6400 / 2004- Rs 6600 / 2005- Rs 6800 /2006- Rs 7000
we should count 1995 also
Yup 1995 is counted
She did not get an increment upon starting work ... she worked a year before she gets her increment.
Oh okay let me edit
Cool :)
Guys done thanks !
@Captain .. would you be kind enough to give me an edit for my answer? Made a typo
ok
hello do you reading class 12
Answered by
19
General equation for an AP:
Starting income = a1 = Rs 5000 (Given)
difference = d = Rs 200 (Given)
Final amount = Rs 7000 (Given)
Find the number of years needed (Find n):
7000 = 5000 + (n - 1) (200)
7000 = 5000 + 200n - 200
7000 = 4800 + 200n
200n = 7000 - 4800
200n = 2200
n = 11
Find the year that her salary will reach Rs 7000:
1995 + 11 years = 2006
Answer: She will have a salary of Rs 7000 in year 2006
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