Answer:
Option B
Explanation:
Let the investment of A in 2009 be x.
Then, Investment of B = 50%of x = $x\times \frac{50}{100}$
= $\frac{x}{2}$
.'. $\left(x + \frac{x}{2}\right)$ = 27 lakh
$x = \left(27\times \frac{2}{3}\right)$ = 18 lakhs
Investment of A in 2009 = 18 lakh and investment of B = 9 lakh.
Profit of A = $\left(18 lakh\times \frac{75}{100}\right)$ = 13.50 lakh
Profit of B = $\left(9 lakh\times \frac{80}{100}\right)$ = 7.20 lakh
Total profit of A and B = (13.50 + 7.20) lakh = 20.70 lakh.