Question

if A is 20% more than C and B is 40% less than C then what percentage of A is B?​

Answer 1

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Answer 2

B is 50% of A

Given :

A is 20% more than C and B is 40% less than C

To find :

The percentage of A is B

Solution :

Step 1 of 2 :

Assume the values of A , B , C

Let C = 100x

Since A is 20% more than C

∴ A = 100x + 20x = 120x

Again B is 40% less than C

∴ B = 100x - 40x = 60x

Step 2 of 2 :

Calculate the percentage of A is B

A = 120x and B = 60x

Hence the required percentage

$\displaystyle \sf = \frac{60x}{120 x} \times 100\%$

$\displaystyle \sf = \frac{1}{2} \times 100\%$

$\displaystyle \sf = 50\%$

∴ B is 50% of A

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