I got an increase in 10 % in my salary.later it was decreased by 10 % .find the total change in my percentage income
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Answer:
Let your original salary be x
Increase in salary = x +10% of x
= x+10/100x
= x+1/10x
11/10x = 1.1x
Increased Salary = 1.1x
Now decrease in this salary = 1.1x -10% of 1.1x
(Here we would have to take out 10% of new Salary)
= 1.1x -10/100 ×1.1x
= 1.1x -1.1 /10x
= 11x - 1.1x /10
= 9.9x/10
= 0.99x
Decreased salary = 0.99x
If we compare the original salary and the decreased salary the decreased salary is 0.1 less than the original salary. In percentage the decreased salary is 1% less than the original salary.
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