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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 B is 39% of A, then what percent of 3A is 7B? 

Quantity B: If X is 20% more than Y and Z is 100/11% more than the average of X and Y, Then how X is how much percent of Z? 


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

1 Answer

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Best answer
Correct Answer - Option 2 : Quantity A < Quantity B

GIVEN:
B = 39% of A

EXPLANATION:

Quantity A

Let A be 100

∴ B = 39% of 100 = 39

3A = 3 × 100 = 300

7B = 7 × 39 = 273

Required percentage = 273/300 × 100

⇒ 91%

Quantity B

Let Y be 100

∴ X = 120

Average = (100 + 120)/2 = 110

100/11% of 110 = 110/11 = 10

Z = 110 + 10 = 120

X = Z = 120

Required % = 120/120 × 100 = 100%

∴ Quantity A < Quantity B

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