Question

Rameshs salary was reduced by 10% and then the reduced salary was increased by 10%. What was his ultimate loss?

Answer 1

Answer: 1% loss

Step-by-step explanation:

Let salary of Ramesh be Rs. 100

Reduced by 10% == 100 * 90/100 = 90 Rs.

Now increased by 10% = 90 * 110/100 = 99 Rs.

Initial salary = 100 Rs.  Final salary = 99 Rs.

Ultimate loss = 100-99/100 * 100 = 1 % loss

Answer 2

Percentage

Initially salary was reduced by 10%.

Later salary was increased by 10%.

Let the salary of Ramesh was 100x.

After reduction in salary for the time, his salary becomes

$100x-(\frac{10\times 100x}{100} )=90x$

So, after initial reduction his salary became 90x.

After increment in his salary, it becomes  ,

$90x+(\frac{10\times 90x}{100} )=99x$

So, his final salary is 99x.

We can see there is a difference in his salary initially and now.

Hence change in his salary is,

$final\ salary- initial\ salary=99x-100x=-x$

negative sign shows loss.

So, he has a loss of  $\frac{x\times 100x}{100x}= 1\%$

Hence he suffered an ultimate loss of 1% in his salary.