Question : Two numbers are 50% and 80% less than the third number. By what percentage should the second number be enhanced to make it equal to the first number?
Option 1: 150%
Option 2: 60%
Option 3: 30%
Option 4: 37.5%
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Correct Answer: 150%
Solution :
Let the third number be 100$x$.
Then, the first number = 50% less than 100$x$
= 50$x$
The second number = 80% less than 100$x$
= 20$x$
So, the required percentage change = $\frac{\text{ first number – second number}}{\text{second number}} × 100$%
= $\frac{50x-20x}{20x}$ × 100%
= 150%
Hence, the correct answer is 150%.
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