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Two numbers are 50% and 75% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?
  • a)
    50
  • b)
    25
  • c)
    75
  • d)
    100
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Two numbers are 50% and 75% lesser than a third number. By how much pe...
Given Information:
- Two numbers are 50% and 75% lesser than a third number.

Let's assume the third number is x.

Calculating the First Number:
- The first number is 50% lesser than x.
- Therefore, the first number is x - (50% of x) = x - 0.5x = 0.5x.

Calculating the Second Number:
- The second number is 75% lesser than x.
- Therefore, the second number is x - (75% of x) = x - 0.75x = 0.25x.

Calculating the Percentage Increase:
- To make the second number equal to the first number, we need to find the percentage increase required.
- Let's assume the percentage increase needed is y%.

The formula to calculate the percentage increase is given by:
Percentage Increase = (Increase in value / Original value) * 100

In this case, the increase in value is 0.5x - 0.25x = 0.25x.

Therefore, the equation becomes:
y = (0.25x / 0.25x) * 100
y = 100

Hence, the second number needs to be enhanced by 100% to make it equal to the first number.

Therefore, the correct answer is option 'D'.
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Community Answer
Two numbers are 50% and 75% lesser than a third number. By how much pe...
Let the third number = x
⇒ The first number = x - 50% of x = x/2
⇒ The second number = x - 75% of x = x/4
⇒ The percent by which second number has to be enhanced to make it equal to the first number = [(x/2 - x/4) / (x/4)] × 100 = 100%
(It can also be seen that x/4 is just half of x/2 so it has to be multiplied twice to become the second number which is 100%)
Alternate method
Let, 3rd number be 100
Hence, 2nd number will be 25 and 1st number will be 50
Now, 2nd number should be increased by 25 to make it equal to 1st number
∴ required percentage = 25/25 × 100 = 100%
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Two numbers are 50% and 75% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?a)50b)25c)75d)100Correct answer is option 'D'. Can you explain this answer?
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