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The income of a company increases 20% per annum. If its income is Rs. 2664000 in the year 2012. Then its income in the year 2010 was :
Answer & Solution
Correct Answer:
Option
B
Let the income in 2010 be P
⇒ R = 20%
⇒ Income of year 2012
⇒ Rs. 2664000
$$\eqalign{ & \Rightarrow {\text{Income of 2012}} = P{\left[ {1 + \frac{R}{{100}}} \right]^2} \cr & \Rightarrow 2664000 = P{\left[ {1 + \frac{{20}}{{100}}} \right]^2} \cr & \Rightarrow 2664000 = P \times \frac{6}{5} \times \frac{6}{5} \cr & \Rightarrow {\text{Income in 2010 = 1850000}} \cr} $$
⇒ R = 20%
⇒ Income of year 2012
⇒ Rs. 2664000
$$\eqalign{ & \Rightarrow {\text{Income of 2012}} = P{\left[ {1 + \frac{R}{{100}}} \right]^2} \cr & \Rightarrow 2664000 = P{\left[ {1 + \frac{{20}}{{100}}} \right]^2} \cr & \Rightarrow 2664000 = P \times \frac{6}{5} \times \frac{6}{5} \cr & \Rightarrow {\text{Income in 2010 = 1850000}} \cr} $$
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