1.

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?1. 66.66%2. 50%3. 75%4. 80%

Answer» Correct Answer - Option 1 : 66.66%

Given:

A is 50% of C

B is 75% of C

Calculation:

A = 50% of C

⇒ A = (50/100) × C

⇒ A/C = 1/2

⇒A : C = 1 : 2      ----(1)

Again, 

B = 75% of C

⇒ B = (75/100) × C

⇒ B/C = 3/4

⇒ B : C = 3 : 4      ----(2)

Now, Multiply by 2 in eq.(1),

A : C = 1 : 2   

⇒ A : C = (1 : 2) × 2

⇒ A : C = 2 : 4

A : B : C = 2 : 3 : 4

Let A be 2x

B be 3x

And C be 4x.

According to the questions:

2x = 3x of y%

⇒ (2x/3x) × 100 = y

⇒ y = 200/3 

⇒  y = 66.66%

∴ A is 66.66% percentage of B.


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