Question

A number is decreased by 10% and then increased by 10%. The number so obtained is 10 less than the original number. What was the oiginal number ?

Answer 1

Answer:

original number 1000

Step-by-step explanation:

if we take 100 then we can see that

Number increase by 10% and it becomes 110.

2nd we have to decrease 10% from 110, and 10 % of 110 is 11.

so we have remaining 99.

when 1 decrease it is 100.

and when 10 decrease it will be 1000.

I hope you got the answer

Answer 2

Answer:

The original number is 1000

Step-by-step explanation:

Let x be the original number 10% of x is x/10

X- X/10 = 9X/10

Next it is given that 10% of the new number is added

9X/10 + 9X/100 =99X/100

it is stated that the number so obtain is 10 less than original number

Therefore, X-10= 99X/100

100X-99X =1000

X=100