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? % of 450 + 46% of 285 = 257.1
Answer & Solution
Correct Answer:
Option
B
Let x% of 450 + 46% of 285 = 257.1
$$ \Rightarrow \left( {\frac{x}{{100}} \times 450} \right) + \left( {\frac{{46}}{{100}} \times 285} \right)$$ $$ = 257.1$$
$$\eqalign{ & \Rightarrow \frac{{9x}}{2} = 257.1 - 131.1 \cr & \Rightarrow \frac{{9x}}{2} = 126 \cr & \Rightarrow x = \frac{{126 \times 2}}{9} \cr & \Rightarrow x = 28 \cr} $$
$$ \Rightarrow \left( {\frac{x}{{100}} \times 450} \right) + \left( {\frac{{46}}{{100}} \times 285} \right)$$ $$ = 257.1$$
$$\eqalign{ & \Rightarrow \frac{{9x}}{2} = 257.1 - 131.1 \cr & \Rightarrow \frac{{9x}}{2} = 126 \cr & \Rightarrow x = \frac{{126 \times 2}}{9} \cr & \Rightarrow x = 28 \cr} $$
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