Question

the difference between a and b is 30 a. is 12.5% more of c and b is 25%less of c what is value of c​

Answer 1

Answer:

The value of C is 80.

Step-by-step explanation:

Rechecking:-

Given:- A-B=30

25% of 80 is = 20

B is 25% less than 80 i.e., 80-20=60

if B=60,

A-B=30

A-60=30

A=90

90-30=60

Answer 2

Answer:

Value of c = 80

Step-by-step explanation:

Given:

• The difference between $a$ and $b$ is $30$

• $a$ is $12.5$% more of $c$

• $b$ is $25$% less of $c$

Find:

Value of c = ?

Solution:

Step 1:

Given that, the difference between $a$ and $b$ is $30$. That is,

$a-b=30$     ---------->(1)

Step 2:

Given that, $a$ is $12.5$% more of $c$. That is,

$a=c+ 12.5\% \ of \ c$

⇒ $a=c+(\frac{12.5}{100} \times c)$

⇒ $a=c+\frac{12.5c}{100}$

⇒ $a=\frac{100c+12.5c}{100}$     ---------->(2)

Step 3:

Given that, $b$ is $25$% less of $c$. That is,

$b=c-25\% \ of \ c$

⇒ $b=c-(\frac{25}{100} \times c)$

⇒ $b=c-\frac{25c}{100}$

⇒ $b=\frac{100c-25c}{100}$     ---------->(3)

Step 4:

Substitute Eqn.(2) and (3) in Eqn.(1)

$a-b=30$

⇒ $\frac{100c+12.5c}{100} - (\frac{100c-25c}{100}) = 30$

⇒ $\frac{100c+12.5c-100c+25c}{100} =30$

⇒ $\frac{12.5c+25c}{100} =30$

⇒ $\frac{37.5c}{100}=30$

⇒ $37.5c = 30 \times 100$

⇒ $37.5c = 3000$

⇒ $c=\frac{3000}{37.5}$

⇒ $c=80$

Therefore, the value of c = 80

Similar Problems:

https://brainly.in/question/1756008

https://brainly.in/question/14353879