Question

Two numbers are respectively 25% and 40% less than a third number. What percent is the second of the first?

Answer 1

Answer:

Step-by-step explanation:Let the no.be 100

No. less than 25% of 100= 75

And no. less than 40% of 100=60

Now x%of 75= 60

X=80%

Therefore, second no. is 80% of first one

Answer 2

The second number is 80% of the first number

Step-by-step explanation:

Let us assume the third number is 100 (ideal option since percent literally translates to per 100)

25% of 100 = $\frac{25}{100}*100$  (since 25% is just $\frac{25}{100}$)

                   = 25

The first number is 25% less than the third number

The first number is found by subtracting 25% from the third number

                   = 100 - 25

                   = 75

40% of 100 = $\frac{40}{100} * 100$

                   = 40

The second number is 40% less than the third number

The second number is found by subtracting 40% from the third number

                   = 100 - 40

                   = 60

Now, let x be the percentage of the second number (60) to the first number (75)

∴ percentage of 60 in 75:

                   = x% 75 = 60

                   = $\frac{x}{100}$ * 75 = 60

                   = x = $\frac{60 * 100}{75}$

                   = x = $\frac{6000}{75}$

                   = x = 80

or 80%