Estimate the time, when a man's salary will be increased.

Algebra Level 2

Mr. Jahidul Alam is an employee. In December 2016, his monthly salary is 10 , 000 10,000 Taka. His salary is increasing 300 300 Taka per month by his company.

Now the question is When his salary will be 18 , 100 18,100 Taka per month?

Determine Months Needed (including December, 2016) for his salary to be 18100 Taka/month.

May, 2019 January, 2019 December, 2018 March, 2019

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1 solution

Jahangir Hossain
Dec 31, 2016

suppose 'n' as month pay his salary would be 18 , 100 18,100 Taka.

So, 1000 + 10300 + 10600 + 10900.... + 18100 1000+10300+10600+10900....+18100

now,

1st Figure of cluse, a = 10000 a=10000 .

Common difference , d = 300 d=300

by the low,,,
a + ( n 1 ) d = 18100 a+(n-1)d=18100
or, 10000 + ( n 1 ) 300 = 1 10000+(n-1)*300=1
or, n 1 ) 300 = 18100 10000 n-1)*300=18100-10000
or, ( n 1 (n-1 = ( n 1 ) 300 = 8100 (n-1)*300=8100
or, n 1 n-1 = 8100 300 \frac{8100}{300}
or, n 1 = 27 n-1=27
or, n = 27 + 1 n=27+1
or, n = 28 n=28
So 28 months later, Mr. Zahidul Alam monthly salary will be 18100 18100 Taka. Then in December 2016 after 28 months, ie in March, 2019. So in March, 2019 will be the correct answer.

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