Total income of 2011, 2012, 2013 is rs. 36400. every year the salaryincreases by 20%. what is the salary in 2019?
Answers
Answer:
Rs 42997.8896
Step-by-step explanation:
Let the income of 2011 = x
So, the income of 2012 = x + (20/100)x
And the income of 2013 = [x + (20/100)x] + (20/100)[x + (20/100)x]
The income of 2011 + The income of 2012 + The income of 2013 = Rs 36400
x + x + 20x/100 + x + 20x/100 + 20x/100 + 400x/10000
= 36400
=> x + x + 20x/100 + x + 20x/100 + 20x/100 + 4x/100 = 36400
=> (100x + 100x + 20x + 100x + 20x + 20x + 4x)/100 = 36400
=> 364x/100 = 36400
=> x = (36400 x 100)/364
=> x = Rs 10000
The salary of 2011 = Rs 10000
The salary of 2012 = 10000 + (20/100) x 10000
= 10000 + 2000
= Rs 12000
The salary of 2013 = 12000 + (20/100) x 12000
= 12000 + 2400
= Rs 14400
The salary of 2014 = 14400 + (20/100) x 14400
= 14400 + 2880
= Rs 17280
The salary of 2015 = 17280 + (20/100) x 17280
= 17280 + 3456
= Rs 20736
The salary of 2016 = 20736 + (20/100) x 20736
= 20736 + 4147.2
= Rs 24883.2
The salary of 2017 = 24883.2 + (20/100) x 24883.2
= 24883.2 + 4976.64
= Rs 29859.84
The salary of 2018 = 29859.84 + (20/100) x 29859.84
= 29859.84 + 5971.968
= Rs 35831.808
The salary of 2019 = 35831.808 + (20/100) x 35831.808
= 35831.808 + 7166.3616
= Rs 42997.8896