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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

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?

Learn how to solve an investment problem where Mr. Akram invests Rs 55000 in two companies with dividends of 8% and 10%. With a total income of Rs 3900 from dividends, this problem uses systems of linear equations and percentage calculations to find the investments in each company. Suitable for Grades 9-10.

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