The question reads as follows:

Mr. Akram invested Rs 55000 in shares of two companies, A and B. If the total income he received by the end of the year from these investments is Rs 3900, and the companies declared a dividend of 8% and 10% respectively, what were his investments in companies A and B?

Let:

• $x$ = amount invested in company A
• $y$ = amount invested in company B

We have two equations based on the information provided:

1. Total investment: $x + y = 55000$

2. Total income from dividends: $0.08x + 0.10y = 3900$

Step 1: Solve for $y$ in terms of $x$ from the first equation

$y = 55000 - x$

Step 2: Substitute $y$ in the second equation

$0.08x + 0.10(55000 - x) = 3900$

Step 3: Expand and simplify the equation

$0.08x + 5500 - 0.10x = 3900$

Combine like terms: $-0.02x = 3900 - 5500$ $-0.02x = -1600$

Step 4: Solve for $x$

$x = \frac{-1600}{-0.02} = 80000$

Since $x + y = 55000$, substituting $x = 80000$ gives: $y = 55000 - 80000 = -25000$

Since