Question

If increasing 20 by P percentage gives the same result as decreasing 60 by P percentage, what percentage is P of 100?

• A. 60
• B. 20
• C. 40
• D. 50
• E. None of these

Answer 1

The correct option is D

50

Percentage = P

So, P percentage of 20 = $\frac{20}{100}$P

And, P percentage of 60 = $\frac{60}{100}$P

As per given condition,

$\frac{20}{100}$P + 20 = 60 - $\frac{60}{100}$P

$\frac{80}{100}$P = 40

P = 50