Shortcut Trick
Convert the percentage into a fraction: 25% = 1/4.
Here, 1 unit (the numerator) represents the given value, and 4 units (the denominator) represents the original number.
Since 1 unit = 15, then 4 units = 15 × 4 = 60.
∴ The correct answer is 60.
Alternate Method
Given:
25% of a certain number = 15
Formula Used:
Number = (Given Value ÷ Percentage Rate) × 100
⇒ Let the original number be x.
⇒ According to the question, 25% of x = 15
⇒ (25 ÷ 100) × x = 15
⇒ (1 ÷ 4) × x = 15
⇒ x = 15 × 4
⇒ x = 60
∴ The correct answer is 60.
Additional Information
Percentage to Fraction Conversion
Standard conversions: 25% = 1/4, 50% = 1/2, 75% = 3/4, 20% = 1/5, and 10% = 1/10.
Reverse Percentage Calculation
To find the original value when x% is given as y, use the formula: Original Value = (y × 100) ÷ x.
Base Change Property
If A is 25% of B, then B is (100 ÷ 25) × 100 = 400% of A.