Question

Assuming percentage to be true for all the real values, which of the following can be true? 40% of A = 60% of B

i. A > B
ii. B > A
iii. B = A

a)i and ii only
b)ii and iii only
c)i and iii only
d)None of these

Answer 1

To determine which of the options can be true, we need to compare the magnitudes of A and B. Based on the given equation, we find that option ii (B > A) is true. Therefore, the correct answer is b) ii and iii only.

Step-by-step explanation:

To determine which of the options can be true, we need to compare the magnitudes of A and B. We can do this by setting up a proportion using the given percentages:

40% of A = 60% of B

Dividing both sides of the equation by 40%, we get:

A = (60/40)B

Simplifying, we have:

A = (3/2)B

This equation tells us that A is equal to 1.5 times B. Based on this information, we can conclude that option ii (B > A) is true, but options i (A > B) and iii (A = B) are not true. Therefore, the correct answer is b) ii and iii only.