Mrs Kirti bought 6 oranges at 3 for Rs.1.00, `(1)/(2)` kg of potatoes at Rs.15.00 per kilogram and a fish weighs `(5)/(7)` kg at Rs.7 per kilogram. How much amount would she receive, if she gave Rs.50 to the cashier?

Options

A. Rs.35.50
B. Rs.37.50
C. Rs.33.50
D. Rs.39.50

Answer

To find out how much money Mrs. Kirti would receive after her purchases, we need to calculate the total cost of the items she bought and then subtract that from the amount she gave to the cashier.

### Step-by-Step Solution:

1. **Calculate the cost of oranges:**
- Mrs. Kirti bought 6 oranges at the rate of 3 oranges for Rs. 1.00.
- To find the cost of 6 oranges, we can set up the calculation:
\[ \text{Cost of 3 oranges} = 1 \text{ Rs.} \]
\[ \text{Cost of 6 oranges} = 2 \times 1 \text{ Rs.} = 2 \text{ Rs.} \]

2. **Calculate the cost of potatoes:**
- She bought \( \frac{1}{2} \) kg of potatoes at Rs. 15.00 per kg.
- To find the cost for \( \frac{1}{2} \) kg:
\[ \text{Cost of } \frac{1}{2} \text{ kg potatoes} = \frac{1}{2} \times 15 \text{ Rs.} = 7.5 \text{ Rs.} \]

3. **Calculate the cost of fish:**
- She bought \( \frac{5}{7} \) kg of fish at Rs. 7.00 per kg.
- To find the cost for \( \frac{5}{7} \) kg:
\[ \text{Cost of } \frac{5}{7} \text{ kg fish} = \frac{5}{7} \times 7 \text{ Rs.} = 5 \text{ Rs.} \]

4. **Calculate the total expense:**
- Now, we add up the costs of all the items:
\[ \text{Total expense} = \text{Cost of oranges} + \text{Cost of potatoes} + \text{Cost of fish} \]
\[ \text{Total expense} = 2 \text{ Rs.} + 7.5 \text{ Rs.} + 5 \text{ Rs.} = 14.5 \text{ Rs.} \]

5. **Calculate the amount to be received:**
- Mrs. Kirti gave Rs. 50 to the cashier. To find out how much she would receive back:
\[ \text{Amount received} = \text{Amount given} - \text{Total expense} \]
\[ \text{Amount received} = 50 \text{ Rs.} - 14.5 \text{ Rs.} = 35.5 \text{ Rs.} \]

### Final Answer:
Mrs. Kirti would receive Rs. 35.5 back from the cashier.

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