Question

Nitin wanted to multiply a number by 10, but by mistake he divided it by 10. Find the percentage change

in the result due to his mistake?

(a) 97% (b) 99% (c) 100% (d) 98%​

Answer 1

c=100% percent mistake

Answer 2

Answer:99%

Step-by-step explanation:

Let x be the actual number that Nitin wants to do operations on it.

In the actual situation, Nitin wanted to multiply this number by 10

Hence the number will become 10x

But by mistake, he divides that number by 10

which gives us the wrong number as 10/x.

To find the percentage change in the result due to his mistake,

$% change= (corrected number) -(wrong number)/$% change= {(corrected number) -(wrong number)}/corrected number *100

Here corrected number =10x

wrong number=x/10

putting these values in the above formula, we get

% change= $(10x-x/10)/10x*100$

Removing x from the denominator and numerator we get

% change= $(10-1/10)/10*100$

on solving we get,

% change= (99/10)/10*100

on further solving we get,

% change=99%

#SPJ6