after subtracting 8% of a number from the number we get 150.88. what was the number? what percentage of 150.88 must be added to it in order to get the number?
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Step-by-step explanation:
Let the number be x
So,
X - (8% of X) = 150.88
= X - 8x/100 = 150.88
= (100x - 8x)/100 = 150.88
= 92x/100 = 150.88
= 92x = 150.88 × 100
= x = 15088/92 = 164
So, the original number is 164
Now,
Let y% of 150.88 be added to 150.88 to get the original number
Where, y = difference between 164 and 150.88 i.e. 13.12
Y% = 13.12 × 100/150.88
Y% = 8.69 ~~ 8.7 %
So approx 8.7 % of 150.88 must be added to it to get the original number.
164 - 150.88 = 13.12
It y%
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