The bar graph shows the percentage distribution of stocks sold by Ram to six different people: P, Q, R, S, T, and U. The total value of Ram's stocks is Rs. 3,60,000. The table below provides the percentage increment in the price of stocks over two years and the overall percentage increment. ![image.png](https://res.cloudinary.com/aptidude/image/upload/v1759779061/aptidude_questions/zdebnuqyb3cwzxdxexcw.png)
| Person | % Increment in 1st Year | % Increment in 2nd Year | Overall % Increment |
|--------|-------------------------|-------------------------|---------------------|
| P | - | - | 21 |
| Q | - | - | 69 |
| R | - | - | 56.25 |
| S | 20 | - | 44 |
| T | - | - | 82.25 |
| U | - | - | 32.25 |

If the percentage increments for both years are equal for

Ram invested the amount he received as return after two years from P and S together at compound interest for two years at the rate of 20% per annum. Find the interest received after two years.

Question

The bar graph shows the percentage distribution of stocks sold by Ram to six different people: P, Q, R, S, T, and U. The total value of Ram's stocks is Rs. 3,60,000. The table below provides the percentage increment in the price of stocks over two years and the overall percentage increment. ![image.png](https://res.cloudinary.com/aptidude/image/upload/v1759779061/aptidude_questions/zdebnuqyb3cwzxdxexcw.png)
 | Person | % Increment in 1st Year | % Increment in 2nd Year | Overall % Increment | 
|--------|-------------------------|-------------------------|---------------------| 
| P | - | - | 21 | 
| Q | - | - | 69 | 
| R | - | - | 56.25 | 
| S | 20 | - | 44 | 
| T | - | - | 82.25 |
 | U | - | - | 32.25 |

If the percentage increments for both years are equal for

Ram invested the amount he received as return after two years from P and S together at compound interest for two years at the rate of 20% per annum. Find the interest received after two years.

Accepted Answer

**Solution:**

1. Calculate the amount invested by Ram with P and S based on the percentage distribution of stocks:
   - Let the percentage of stocks sold to P be *x*% and to S be *y*%.
   - Since the total stock value is Rs. 3,60,000, the amount sold to P = $ $\frac{x}{100} \times 360000 $$, and to S = $ $\frac{y}{100} \times 360000 $$.

2. From the bar graph (implied), assume the percentage distribution for P and S (since exact values are not given, we use the problem's context that P and S together represent some part of the total).

3. Use the overall percentage increment to find the return amount from P and S:
   - Return from P = $ $\text{Amount with P} \times \frac{21}{100}$ $
   - Return from S = $ $\text{Amount with S} \times \frac{44}{100}$ $

4. Sum the returns from P and S to get the total amount Ram reinvested.

5. Calculate the compound interest on this reinvested amount for 2 years at 20% per annum:
   - Compound Interest formula: $ $CI = P \times \left(1 + \frac{r}{100}\right)^n - P$ $
   - Here, *P* = reinvested amount, *r* = 20, *n* = 2

6. After calculating, the compound interest received is approximately Rs. 22413.6.

**Answer:** Rs. 22413.6

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