Question

Given below are two quantities named A and B. Based on the given information, you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.

Quantity A: If A is 35% of B and C is (33+1/3)% of the sum of A and B, Then by what percent is B greater than C?

Quantity B: 22%

1. Quantity A > Quantity B
2. Quantity A < Quantity B
3. Quantity A ≥ Quantity B
4. Quantity A ≤ Quantity B
5. Quantity A = Quantity B or No relation

Answer 1

Correct Answer - Option 1 : Quantity A > Quantity B

GIVEN:

A= 35% of B

C = (33+1/3)% of (A + B)

EXPLANATION:
Let B be 100

∴ A = 35% of 100 = 35

and, (33+1/3)% = 1/3

so, C = 1/3 of (100 + 35)

⇒ C = 45

B - C = 100 - 45 = 55

% difference = 55/45 × 100

⇒ 1100/9 = 122.22%

∴ Quantity A > Quantity B