Question

If p is 40% of q and q is 120% or r, then what percent of r is p?

Answer 1

@Hero

Answer 2

Do you know how to translate that into an equation?

Hint:
is can be replaced with =
of can be replaced with *

So for example
50 is what percent of 100

Can be translated to

50 = x% * 100
or
50 = x/100 * 100
Since % means over 100

Answer 3

That doesnt rly help.

i got (A+(A x 20%) - (B x 10%) = 432
(A+(A x 20%) is B

Answer 4

@TheSmartOne

Answer 5

wat.

Answer 6

Thats the equation I got. Idk if its right or if it wrong.

Answer 7

I'm struggling to understand how you came up with that

Answer 8

Me too.

Answer 9

wait nvm was thinking of another question

Answer 10

My fualt

Answer 11

So let's go step by step

If p is 40% of q

Can you write that as an equation based on what I said in my first reply in this thread

Answer 12

p=40% x q

Answer 13

Perfect

Now similarly
q is 120% of r

Answer 14

q=120% x r

Answer 15

Good job. Now we have

p= 40% * q
q= 120% * r

And we want to find what percent of r is p

So we're trying to find
p = x% * r
And we're trying to find this x value

Now how do we go about this. Do you have any idea?

Like maybe we can substitute one equation into the other

Answer 16

Plug in the 40% x q into p?

Answer 17

So let's look at it a different way

You know that
if a= b
and b = c

Then a = c

So here we have
p = 40% q
q = 120% r

so we can substitute one of them into the other and get rid of one of the variables. Do you see it?

Answer 18

40% * 120% * r

Answer 19

Exactly

So p = 40% * 120% * r

Answer 20

So let's figure out what 40% * 120% is

Percent (%) means over 100

We can just easily convert the percentages into a decimal and then multiply them. And then go back to a percentage

So what is 0.4 * 1.20

Answer 21

0.48

Answer 22

And now what would that be as a percentage

Answer 23

48%

Answer 24

Bingo

Answer 25

So what percent of r is p?

Answer 26

great

Answer 27

48

Answer 28

Perfecto. You got it. Good job :)