Two numbers are 35% and 50% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?
- A23.08 percent
- B15 percent
- C25 percent
- D30 percent
Solution & Step-by-step Explanation
Let the third number be 100.
The first number is 35% less than the third number:
First number=100−35=65
The second number is 50% less than the third number:
Second number=100−50=50
We need to find by what percentage the second number (50) must be increased to become equal to the first number (65).
Required increase=65−50=15
Percentage enhancement=(
Second number
Increase
)×100
Percentage enhancement=(
50
15
)×100=15×2=30%
The first number is 35% less than the third number:
First number=100−35=65
The second number is 50% less than the third number:
Second number=100−50=50
We need to find by what percentage the second number (50) must be increased to become equal to the first number (65).
Required increase=65−50=15
Percentage enhancement=(
Second number
Increase
)×100
Percentage enhancement=(
50
15
)×100=15×2=30%