Directions (64-66): Read the following bar graph and the table carefully and answer the given question:

The bar graph shows the percentage distribution of the stocks sold by Ram to six different people(P , Q, R, S, T and U). Total stock value of Ram is Rs. 3,60,000. Table shows the percentage increment in the price of stocks in two years and the overall percentage increment in the price of stocks. Ram earned some return amount from the each person on the increased price.

Note: % increase in Price = % of the return

Ram invested the amount which he recieved as a return after two years from P and S together at compound interest for two years at the rate of 20% p.a. Find the interest recieved after two years.

Step-by-step Explanation:

1. Understand the given values from the Bar Graph and the Table:

The total stock value of Ram is given as:
Total Stock Value = Rs. 3,60,000

From the bar graph, the percentage distribution of stocks sold to P and S are:
Percentage of stock sold to P = 15%
Percentage of stock sold to S = 25%

From the table, the percentage of overall increment (which is equal to the percentage of return) for P and S are:
Overall return percentage from P = 21%
Overall return percentage from S = 44%

2. Calculate the individual stock values and return amounts:

First, calculate the stock value sold to P:
Stock value of P = 15% of 3,60,000

$\text{Stock value of P}=\frac{15}{100}\times 360000=\text{Rs.}54000$

Next, calculate the return amount received from P:
Return from P = 21% of Stock value of P

$\text{Return from P}=\frac{21}{100}\times 54000=\text{Rs.}11340$

Now, calculate the stock value sold to S:
Stock value of S = 25% of 3,60,000

$\text{Stock value of S}=\frac{25}{100}\times 360000=\text{Rs.}90000$

Next, calculate the return amount received from S:
Return from S = 44% of Stock value of S

$\text{Return from S}=\frac{44}{100}\times 90000=\text{Rs.}39600$

3. Calculate the total return amount invested:

The total amount received from P and S together is:
Total Return Amount = Return from P + Return from S

$\text{Total Return Amount}=11340+39600=\text{Rs.}50940$

4. Calculate the compound interest received after two years:

The total return amount (Rs. 50,940) is invested at compound interest for 2 years at a rate of 20% p.a.

We can find the effective compound interest rate for 2 years using the successive percentage formula:
Effective Rate = x + y + (x * y) / 100

$\text{Effective Interest Rate}=20+20+\frac{20\times 20}{100}=40+4=44\%$

Now, calculate the compound interest on the principal of Rs. 50,940:
Interest = 44% of 50,940

$\text{Interest}=\frac{44}{100}\times 50940=0.44\times 50940=\text{Rs.}22413.6$

Thus, the compound interest received after two years is Rs. 22,413.6.