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Examveda

Solve : 105.27% of 1200.11 + 11.80% of 2360.85 = 21.99% of (?) + 1420.99

A. 500

B. 240

C. 310

D. 550

Answer: Option D

Solution(By Examveda Team)

105.27% of 1200.11 + 11.80% of 2360.85 = 21.99% of (?) + 1420.99
⇒ 105% of 1200 + 12% of 2360 = 22% of (?) + 1421
⇒ $$\frac{{105 \times 1200}}{{100}} + \frac{{12 \times 2360}}{{100}} = $$     $$\frac{{22 \times (?)}}{{100}}$$   $$ + \,1421$$
$$ \Rightarrow\frac{{22 \times (?)}}{{100}} = 1260 + 283.30$$       $$ - \,1421$$
$$\eqalign{ & \Rightarrow \frac{{22 \times (?)}}{{100}} = 1543 - 1421 \cr & \Rightarrow \frac{{22 \times (?)}}{{100}} = 122 \cr & \therefore (?) = \frac{{122 \times 100}}{{22}} \cr & \Rightarrow (?) = \frac{{122 \times 50}}{{11}} \cr & \Rightarrow (?) = 554.5\,\, (approximate\,\, 550) \cr} $$

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