## Answer & Solution

Answer:** Option B**

Solution:

Profit percent earned by company B in 2009 = 35%

Profit percent earned by company B in 2010 = 50%

Expenditure of company B in 2009 = 12 lakhs

Expenditure of company B in 2010 = 14.5 lakhs

Income of company B in 2009

$$\eqalign{
& 35\% = \frac{I - E}{E}\times100 \cr
& \Rightarrow 35 = \frac{I - 12\text{ lakh}}{12\text{ lakh}}\times100 \cr
& \Rightarrow \left(35\times12\right)\text{lakh} = 100I-1200\text{ lakh} \cr
& \Rightarrow 420\text{ lakh} = 100I - 1200 \text{ lakh} \cr
& \Rightarrow I = 16.20 \text{ lakh} \cr
& \text{Income of company B in 2009} \cr
& 50\% = \frac{I - E}{E}\times100 \cr
& \Rightarrow 50 = \frac{I - 14.5\text{ lakh}}{14.5\text{ lakh}}\times100 \cr
& \Rightarrow \left(50\times14.5\right)\text{lakh} = 100I-14.50\text{ lakh} \cr
& \Rightarrow 2175\text{ lakh} = 100I \text{ lakh} \cr
& \Rightarrow I = 21.75 \text{ lakh} \cr} $$

So,

Total income of company B in 2009 and 2010

= 16.2 + 21.75

= Rs. 37.95 lakhs