two numbers are respectively 50%and 200% of a third .what percentage is the second of the first
Answers
Answer:
Step-by-step explanation:
We’ll call are through numbers A, B, and C. A is 20% more than C and B is 20% more than C.
Let’s pick an arbitrary number for C. Let’s say C is 100.
If C is 100, then A is 120 and B is 150. We know this because
A = C + 20% of C = 120% of C = 1.2C
and because C is 100, 1.2C is 120. The same logic applies for B being 150.
To figure out what percentage the first number (A) is of the second (B), it’s a simple fraction, A/B, converted to a decimal by dividing.
120/150 = 0.8, which, when expressed as a percentage, is 80%.
You can try this with any C. Let’s use 15 to see if we get the same answer.
C = 30
A = 1.2 * C = 36
B = 1.5 * C = 45
A / B = 36/45 = 0.8, or 80%
It works even when the numbers are decimals!
C = 18
A = 1.2 * C = 21.6
B = 1.5 * C = 27
A / B = 21.6 / 27 = 0.8, or 80%
So, practically, it appears that, for any chosen C, A is always 80% of B. Let’s see if we can make that into an equation so as not to rely on a few examples.
We know that A is always 1.2 * C. I’ll write that as 1.2C
We know that B is always 1.2 * C, which I’ll write as 1.5C
As above, to figure out what percentage A is of B, we make it into a fraction.
A / B = 1.2C / 1.5C
Now, there’s a C on the top AND bottom of our fraction, so we can cancel them out. We’re left with this:
A / B = 1.2 / 1.5 = 0.8, or 80%
Please mark me as brain list
BY Tolety roshan
Let the numbers be x,y,z
50%x=z,200%y=z
50%x=200%y
x=4y
x=400%y
Please do mark as brainliest.