Study the following line graph carefully and answer the questions given below:

Percent Profit Earned By Companies A and B Producing Electronic Goods Over The Years.

Profit Earned = (Total Income) - (Total Investment in the Year)

2622021564_line graph 10.JPG

1)

 If the total amount invested by the two companies in 2009 was  27 lakh, while the amount invested by Company B was 50% of the amount invested by Company A, what was the total profit earned by the two companies together?


A) 21.15 lakh

B) 20.70 lakh

C) 18.70 lakh

D) 20.15 lakh

E) None of these

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.