Question

What number when increased by 15% becomes 230?

Answer 1

Let the number be = 100

Increase = 15% = 15

∴ Increased number = 100 + 15 = 115

If increased number is 115, then original number is 100.

and if increased number is 230, then original number `= 100/115 xx 230 = 200`

Answer 2

Let the number be x

∴ 15% of x

∴ value = `"percent"/100 xx "total"`

`= 15/100 xx x`

∴ value of 15% = `(3x)/20`

`=> x + (3x)/20 = 230`

`=> x/1 + (3x)/20 = 230`

LCM of 1 & 20 is 20

`=> x/1 + (3x)/20 = 230`

`=> (20x)/20 + (3x)/20 = 230`

`=> (23x)/20 = 230`

⇒ 23x = 230 × 20

⇒  23x = 4600

⇒ x = `4600/23`

⇒ x = 200