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If A : B : C = 2 : 3 : 5 and A = x% of (B + C), then x is equal to -
Answer & Solution
Correct Answer:
Option
C
Let A = 2k, B = 3k, C = 5k
A = x% of (B + C)
⇒ 2k = x% of (3k + 5k) = x% of 8k
$$\eqalign{ & \Rightarrow \frac{x}{{100}} = \frac{{{\text{2k}}}}{{{\text{8k}}}} = \frac{1}{4} \cr & \Rightarrow x = \frac{{100}}{4} = 25 \cr} $$
A = x% of (B + C)
⇒ 2k = x% of (3k + 5k) = x% of 8k
$$\eqalign{ & \Rightarrow \frac{x}{{100}} = \frac{{{\text{2k}}}}{{{\text{8k}}}} = \frac{1}{4} \cr & \Rightarrow x = \frac{{100}}{4} = 25 \cr} $$
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