Question

PLEASE HELP ME!!! ASAP!!! WILL MARK BRAINLIEST IF IT IS CORRECT AND HAS AN EXPLANATION HOW TO GET THERE!!!!!

Answer 1

Answer:

a)  x = 36%

b) c = 52.2

c) z =38%

d) y = 16%

Step-by-step explanation:

a) Given that b is x% more than a and c is y% more than b.

Therefore, $a(1 + \frac{x}{100}) = b$ ....... (1)

Now, if a = 25.25 and b = 34.34, then from equation (1) we get,

$25.25 (1 + \frac{x}{100}) = 34.34$

⇒ x = 36% (Answer)

b) Given that b is x% more than a and c is y% more than b.

So, $a(1 + \frac{x}{100}) = b$ ......... (2)

and, $b(1 + \frac{y}{100}) = c$ ......... (3)

If a = 36 and x = 25%, then from equation (2) we gat,

$b = 36(1 + \frac{25}{100})$

⇒ b = 45

Now, y = 16%, then from equation (3) we get

$c = 45(1 + \frac{16}{100})$

⇒ c = 52.2 (Answer)

c) Given that b is x% more than a and c is y% more than b. And c is z% more than a.

Now, if x = 15% and y = 20%, then

$b = a(1 + \frac{15}{100}) = 1.15a$ and $c = b(1 + \frac{20}{100}) = 1.2b$

⇒ c = 1.2(1.15a) = 1.38a

Therefore, $a(1 + \frac{z}{100}) = c = 1.38a$

⇒ z =38% (Answer)

d) Given that b is x% more than a and c is y% more than b. And c is z% more than a.

If x = 25% and z = 45%, then

$b = a(1 + \frac{25}{100}) = 1.25a$ and  

$c = b(1 + \frac{y}{100}) = 1.25a(1 + \frac{y}{100})$ ........... (4) and  

$c = a(1 + \frac{45}{100}) = 1.45a$ ......... (5)

Now, from equations (4) and (5) we get

$1.25a(1 + \frac{y}{100}) = 1.45a$

⇒ y = 16% (Answer)