A number is mistakenly divided by 2 instead of being multiplied by 2. ...
Let that number be = x.... Now our actual answer is 2x...but answer we got is x/2..Now...(2x - x/2)/2x =3/4, that is 75 %....
A number is mistakenly divided by 2 instead of being multiplied by 2. ...
Problem: A number is mistakenly divided by 2 instead of being multiplied by 2. Find the percentage change in the result due to this mistake.
Solution:
Let the original number be x.
If it was multiplied by 2, the result would be 2x.
But it was divided by 2, so the actual result is x/2.
The percentage change in the result can be found using the following formula:
Percentage change = (|final value - initial value| / initial value) x 100
Here, the initial value is x and the final value is x/2.
Percentage change = (|x/2 - x| / x) x 100
Simplifying, we get:
Percentage change = (|x - 2x| / 2x) x 100
Percentage change = (|x| / 2x) x 100
Percentage change = (1/2) x 100
Percentage change = 50%
Therefore, the percentage change in the result due to the mistake is 50%.
Answer: d. 100%