If a number is decreased by 10%, it becomes 108. By how much percent, thenumber is to be increased so that the number becomes 144?

If a number is decreased by 10%, it becomes 108. By how much percent,

1.	If a number is decreased by 10%, it becomes 108. By how much percent, thenumber is to be increased so that the number becomes 144?
Answer» <p>Let the Number be xwhen x is decreased by 10%, it becomes 108</p><p>=> x - 10% of x = 108=> x - (10/100)×x = 108=> x(1 - 10/100) = 108=> x(90/100) = 108=> 90x = 108×100=> x = 120</p><p>Therefore,Number is 120</p><p>120 + y% of 120 = 144=> y% of 120 = 144-120=> (y/100)×120 = 24=> y/10 = 2=> y = 20%</p><p>Therefore, the number 120 when increased by 20% gives 144</p> <p>Let the Number be xwhen x is decreased by 10%, it becomes 108</p><p>x - 10% of x = 108</p><p>x - (10/100)×x = 108</p><p>x(1 - 10/100) = 108</p><p>x(90/100) = 108</p><p>90x = 108×100</p><p>x = 120</p><p>Original Number is 120</p><p>when number is increased by 20%</p><p>120 + y% of 120 = 144</p><p> y% of 120 = 144-120</p><p> (y/100)×120 = 24</p><p>y = (24/120)100</p><p>y = 20%</p><p>Therefore, the number 120 when increased by 20% gives 144</p><p>HENCE, The required number = 120 ANS. </p>