Question

there are three numbers A B and C A is 50% of C and B is 75% of C then A is what percentage of B​

Answer 1

Answer:

If 50% of a% of b is 75%of b%of c

SOLUTION:

(50/100) × (a/100) × b = (75/100)× (b/100)×c

ab/(2×100) = 3bc/(4×100)

c=( ab × 4×100)/(2×100× 3b)

c= 2a/3

c= 0.6666…..

c= 0.667

or

Since we have given that

50% of a% of b is 75% of b% of c

According to question, we get that

Hence, Relation between a, b is given by

Therefore, our required relation is a:b is 3:2

Step-by-step explanation:

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Answer 2

 A is 66.66% percentage of B.

Step-by-step explanation:

Given:

A is 50% of C .

B is 75% of C.

To Find:

The value of A which is  equal to percentage of B.

Solution:

Let the value of C is 100.

As given-B is 75% of C. .

$B=75\% \ of\ C.$

     $=75\% \ of\ 100.\\=100\times \frac{75}{100} \\=75$

As given- A is 50% of C .

$A = 50\% \ of\ C .$  

    $=50\% \ of\ 100.\\=100\times \frac{50}{100} \\=50$

Let  A is x% of B.

$A= x\%\ of\ B$

$50=x\%\ of\ 75$

 $50=75\times\frac{x}{100}$

$x=\frac{50\times 100}{75}$

$x=66.66$

Thus, A is 66.66% percentage of B.

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