If a number is decreased by 10% it becomes 108. By how much percent the number is to be increased so that will be 144
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Let the Number be x
when x is decreased by 10%, it becomes 108
=> x - 10% of x = 108
=> x - (10/100)×x = 108
=> x(1 - 10/100) = 108
=> x(90/100) = 108
=> 90x = 108×100
=> x = 120
Therefore,
Number is 120
120 + y% of 120 = 144
=> y% of 120 = 144-120
=> (y/100)×120 = 24
=> y/10 = 2
=> y = 20%
Therefore,
the number 120 when increased by 20% gives 144
_______________________________
✌✌✌
_______________________________
Let the Number be x
when x is decreased by 10%, it becomes 108
=> x - 10% of x = 108
=> x - (10/100)×x = 108
=> x(1 - 10/100) = 108
=> x(90/100) = 108
=> 90x = 108×100
=> x = 120
Therefore,
Number is 120
120 + y% of 120 = 144
=> y% of 120 = 144-120
=> (y/100)×120 = 24
=> y/10 = 2
=> y = 20%
Therefore,
the number 120 when increased by 20% gives 144
_______________________________
✌✌✌
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1
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