Directions : Study the following information carefully and answer the questions given below:
There are three persons A, B and C, who each invested in two different schemes S1 and S2. A invested 80,000 for 2 years in scheme S1 and 30,000 for 4 years in scheme S2.B invested 30,000 for 3 years in S1 and he did not invest in scheme S2. B also obtained a profit of Rs10,000 by selling his car. C Invested 50000 for 5 years in scheme S1 and 10000 for 3 years in scheme S2. Total profit obtained from scheme S1 is 2 lakh and scheme S2 is 90,000.
The profit obtained by A from scheme S1 is what per cent of profit obtained by C from scheme S2?

Options

A. `(346)7/9%`
B. `(347)8/9%`
C. `(356)7/9%`
D. `(355)5/9%`

Answer

To solve the problem, we need to calculate the profit obtained by A from scheme S1 and the profit obtained by C from scheme S2. Then we will find out what percentage the profit of A is of the profit of C.

### Step 1: Calculate the total profit distribution from Scheme S1

1. **Investments in Scheme S1:**
- A: 80,000 for 2 years
- B: 30,000 for 3 years
- C: 50,000 for 5 years

2. **Calculate the total investment years for each person:**
- A's investment years = 80,000 * 2 = 160,000
- B's investment years = 30,000 * 3 = 90,000
- C's investment years = 50,000 * 5 = 250,000

3. **Total investment years = 160,000 + 90,000 + 250,000 = 500,000**

4. **Profit distribution ratio:**
- A's share = 160,000 / 500,000 = 16/50
- B's share = 90,000 / 500,000 = 9/50
- C's share = 250,000 / 500,000 = 25/50

5. **Total profit from S1 = 2,00,000**
- A's profit from S1 = (16/50) * 2,00,000 = 64,000

### Step 2: Calculate the total profit distribution from Scheme S2

1. **Investments in Scheme S2:**
- A: 30,000 for 4 years
- C: 10,000 for 3 years

2. **Calculate the total investment years for each person:**
- A's investment years = 30,000 * 4 = 120,000
- C's investment years = 10,000 * 3 = 30,000

3. **Total investment years = 120,000 + 30,000 = 150,000**

4. **Profit distribution ratio:**
- A's share = 120,000 / 150,000 = 4/5
- C's share = 30,000 / 150,000 = 1/5

5. **Total profit from S2 = 90,000**
- C's profit from S2 = (1/5) * 90,000 = 18,000

### Step 3: Calculate the required percentage

1. **Required percentage = (Profit of A from S1 / Profit of C from S2) * 100**
- Required percentage = (64,000 / 18,000) * 100

2. **Calculating the percentage:**
- Required percentage = (64,000 / 18,000) = 3.555... * 100 = 355.55...%

### Final Answer

The profit obtained by A from scheme S1 is approximately **355.56%** of the profit obtained by C from scheme S2.

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