Question

Two numbers are respectively 25% and 45% less than the third number. By how much percent should second number must be enhanced, so that it becomes equal to first number?
1. 30.30 %
2. 36.36%
3. 34.22 %
4. 36.50%

Answer 1

Correct Answer - Option 2 : 36.36%

Given:

1^st number = 25% less than 3rd number

2^nd number = 45% less than by 3rd number

Formula used:

Percentage increment = increment/initial value × 100

If a quantity (x) is increased or decreased by a%, then

Final value of the quantity = (100 ± a)% of x,

Where ± shows the increment/decrement

Calculation:

Let, third number be X

1^st number = (100 – 25)% of X

⇒ 75% of X

⇒ 0.75X

2^nd number = (100 – 45)% of X

⇒ 55% of X

⇒ 0.55X

2^nd number must be increased by = 0.75X – 0.55X

⇒ 0.2X

Percentage increment = (0.2X/0.55X) × 100

⇒ (0.2/0.55) × 100

⇒ 400/11%

⇒ 36.36%

∴ The percentage increment is 36.36%.