Answer:
Step-by-step explanation:
To determine the total capital available for expenditure, we need to calculate the sum of Sourav's initial investment and his earned profit.
1. **Convert the fractions to improper fractions:**
- Sourav's initial investment is \( \text{₹} 5 \frac{3}{5} \text{ lakhs} \).
\[
5 \frac{3}{5} = 5 + \frac{3}{5} = \frac{5 \times 5 + 3}{5} = \frac{25 + 3}{5} = \frac{28}{5} \text{ lakhs}
\]
- The profit earned is \( \text{₹} 7 \frac{1}{4} \text{ thousands} \).
\[
7 \frac{1}{4} = 7 + \frac{1}{4} = \frac{7 \times 4 + 1}{4} = \frac{28 + 1}{4} = \frac{29}{4} \text{ thousands}
\]
2. **Convert the profit from thousands to lakhs:**
Since \( 1 \text{ lakh} = 100 \text{ thousands} \), we convert the profit from thousands to lakhs:
\[
\frac{29}{4} \text{ thousands} = \frac{29}{4 \times 100} \text{ lakhs} = \frac{29}{400} \text{ lakhs}
\]
3. **Add the investment and profit to find the total capital:**
Now, add the initial investment and the converted profit:
\[
\frac{28}{5} + \frac{29}{400}
\]
To add these fractions, we need a common denominator. The least common multiple of 5 and 400 is 400.
Convert \(\frac{28}{5}\) to a fraction with a denominator of 400:
\[
\frac{28}{5} = \frac{28 \times 80}{5 \times 80} = \frac{2240}{400}
\]
Now, add the fractions:
\[
\frac{2240}{400} + \frac{29}{400} = \frac{2240 + 29}{400} = \frac{2269}{400}
\]
4. **Simplify the fraction:**
Divide the numerator by the denominator to express the total capital in decimal form:
\[
\frac{2269}{400} = 5.6725 \text{ lakhs}
\]
Therefore, the total capital available for expenditure is:
\[
\boxed{₹ 5.6725 \text{ lakhs}}
\]
Answer:
To find the total amount Sourav earned from his investment, we need to convert the given amounts to a common unit.
Sourav invested ₹ 5 3/5 lakhs, which can be converted to a decimal form:
\[ 5 \frac{3}{5} \text{ lakhs} = 5 + \frac{3}{5} = 5.6 \text{ lakhs} \]
Now, convert the profit earned:
\[ 7 \frac{1}{4} \text{ thousands} = 7 + \frac{1}{4} = 7.25 \text{ thousands} \]
1 lakh = 100 thousands. Therefore, 5.6 lakhs = 5.6 × 100 thousands = 560 thousands.
Now, add the profit earned to the initial investment to find the total amount available for expenditure:
\[ \text{Total amount} = 560 \text{ thousands} + 7.25 \text{ thousands} = 567.25 \text{ thousands} \]
Therefore, the capital available for expenditure is ₹ 5,67,250 (five lakhs sixty-seven thousand two hundred fifty).
