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» Let the Number be xwhen 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 xwhen 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 Original Number is 120 when number is increased by 20% 120 + y% of 120 = 144 y% of 120 = 144-120 (y/100)×120 = 24 y = (24/120)100 y = 20% Therefore, the number 120 when increased by 20% gives 144 HENCE, The required number = 120 ANS.

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»

Let the Number be xwhen 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 xwhen 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

Original Number is 120

when number is increased by 20%

120 + y% of 120 = 144

y% of 120 = 144-120

(y/100)×120 = 24

y = (24/120)100

y = 20%

Therefore, the number 120 when increased by 20% gives 144

HENCE, The required number = 120 ANS.