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  • Subba Rao started work in 1995 at an annual salary of Rs 5000 and received an increment of Rs 200 each year. In which year did his income reach Rs 7000?

Q: 19      Subba Rao started work in 1995 at an annual salary of Rs 5000 and received an increment of  Rs 200 each year. In which year did his income reach Rs 7000?

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best_answer

It is given that
Subba Rao started work at an annual salary of Rs 5000 and received an increment of  Rs 200 each year
Therefore, a = 5000 \ and \ d =200
Let's suppose after n years his salary will be Rs 7000
Now, we know that
a_n = a+(n-1)d
\Rightarrow 7000=5000+(n-1)200
\Rightarrow 2000=200n-200
\Rightarrow 200n=2200
\Rightarrow n = 11
Therefore, after 11years  his salary will be Rs 7000 
after 11 years, starting from 1995, his salary will reach to 7000, so we have to add 10 in 1995, because these numbers are in years
Thus , 1995+10 = 2005

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Gautam harsolia

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