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23% of 8040 + 42% of 545 = ? % of 3000
Answer & Solution
Correct Answer:
Option
C
Let 23% of 8040 + 42% of 545 = x% of 3000
Then,
$$\left( {\frac{{23}}{{100}} \times 8040} \right) + \left( {\frac{{42}}{{100}} \times 545} \right)$$ = $$\left( {\frac{x}{{100}} \times 3000} \right)$$
$$\eqalign{ & \Rightarrow 30x = 1849.2 + 228.9 \cr & \Rightarrow 30x = 2078.1 \cr & \Rightarrow x = \frac{{2078.1}}{{30}} \cr & \Rightarrow x = 69.27 \cr} $$
Then,
$$\left( {\frac{{23}}{{100}} \times 8040} \right) + \left( {\frac{{42}}{{100}} \times 545} \right)$$ = $$\left( {\frac{x}{{100}} \times 3000} \right)$$
$$\eqalign{ & \Rightarrow 30x = 1849.2 + 228.9 \cr & \Rightarrow 30x = 2078.1 \cr & \Rightarrow x = \frac{{2078.1}}{{30}} \cr & \Rightarrow x = 69.27 \cr} $$
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