If 90% of A = 30% of B and B = x% of A, then the value of x is-

Question: If 90% of A = 30% of B and B = x% of A, then the value of x is-

Solution:
Given that, 90% of A = 30% of B
⇒ (90/100) × A = (30/100) × B
⇒ 90A = 30B
⇒ B = 90A/30
⇒ B = 3A

Now, it is given that B = x% of A
⇒ B = (x/100) × A
Substituting the value of B = 3A:
⇒ 3A = (x/100) × A
⇒ 3 = x/100
⇒ x = 300
∴ The value of x is 300.

Correct Answer: খ) 300