Question : If 60% of A = 30% of B, B = 40% of C, and C = $x$% of A, the value of $x$ is:
Option 1: 200
Option 2: 500
Option 3: 800
Option 4: 300
Correct Answer: 500
Solution :
Given: 60% of A = 30% of B, B = 40% of C, and C = $x$% of A
Here, C = $x$% of A ⇒ C = $\frac{x×A}{100}$
and B = 40% of C ⇒ B = $\frac{40×C}{100}$ ⇒ B = $\frac{40×x×A}{100×100}$ = $\frac{2×x×A}{500}$
Now, 60% of A = 30% of B
⇒ $\frac{60×A}{100}$ = $\frac{30×B}{100}$
⇒ 2A = B
⇒ 2A = $\frac{2×x×A}{500}$
⇒ $x$ = 500
So, the value of $x$ is 500.
Hence, the correct answer is 500.
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