Question

Two numbers are respectively 30 percent and 40 percent less than a third number. What percent is the second of the first?​

Answer 1

Answer:

please mark me as brainliest

Answer 2

Answer:

85 ⁵/₇%

Step-by-step explanation:

As per the provided information in the given question, we have:

• Two numbers are respectively 30 percent and 40 percent less than a third number.

We've been asked to calculate the second number as the percentage of first.

Let us suppose that the 3rd number equals to 100.

$\twoheadrightarrow\quad\sf{Third\: number=100}$  

Now, according to the question, the two numbers i.e. 30% and 40% less than a third number. According to our assumption, $\\\twoheadrightarrow\quad\sf{First\: number=100-30\: percent\: of\: 100}$

$\twoheadrightarrow\quad\sf{First\: number=100-\dfrac{30\times 100}{100}}$

Cancelling 100.

$\twoheadrightarrow\quad\sf{First\: number=100-30}$

Performing subtraction, in order to calculate the first number.

$\twoheadrightarrow\quad\underline{\boxed{\bold{First\: number=70}}}$

We've calculated the first number. Now, let us calculate the second number. We're given that the second number is 40%. So,$\\\twoheadrightarrow\quad\sf{Second\: number=100-40\: percent\: of\: 100}$

$\twoheadrightarrow\quad\sf{Second\: number=100-\dfrac{40-100}{100}}$

Cancelling 100.

$\twoheadrightarrow\quad\sf{Second\: number=100-40}$

Performing subtraction.

$\twoheadrightarrow\quad\underline{\boxed{\bold{Second\: number=60}}}$

Now, Let us calculate the second number as the percentage of first.

$\twoheadrightarrow\quad\sf{Required\: percentage=\dfrac{60}{70}\times 100}$

Performing multiplication.

$\twoheadrightarrow\quad\sf{Required\: percentage=\dfrac{600}{70}}$

Performing division.

$\twoheadrightarrow\quad\sf{Required\: percentage=\dfrac{60}{7}}$

After further solving.

$\twoheadrightarrow\quad\underline{\boxed{\bold{Required\: percentage=85\dfrac{5}{7}\: \%}}}$

❝ Therefore, the second number as the percentage of first is 85 ⁵/₇%. ❞