Find the cost of `3(1/3)` kg of rice at `Rs 40(1/2)` per kg.

Answer

To solve the problem of finding the cost of `3(1/3)` kg of rice at `Rs 40(1/2)` per kg, we will follow these steps:

### Step 1: Convert the mixed numbers to improper fractions
- For `3(1/3)`, we convert it to an improper fraction:
\[ 3(1/3) = \frac{3 \times 3 + 1}{3} = \frac{9 + 1}{3} = \frac{10}{3} \text{ kg} \]

- For `Rs 40(1/2)`, we convert it to an improper fraction:
\[ 40(1/2) = \frac{40 \times 2 + 1}{2} = \frac{80 + 1}{2} = \frac{81}{2} \text{ Rs per kg} \]

### Step 2: Calculate the total cost
- Now, we multiply the quantity of rice by the price per kg:
\[ \text{Cost} = \left(\frac{10}{3} \text{ kg}\right) \times \left(\frac{81}{2} \text{ Rs per kg}\right) \]

### Step 3: Multiply the fractions
- To multiply the fractions, we multiply the numerators and the denominators:
\[ \text{Cost} = \frac{10 \times 81}{3 \times 2} = \frac{810}{6} \]

### Step 4: Simplify the fraction
- Now, we simplify \(\frac{810}{6}\):
\[ \frac{810 \div 6}{6 \div 6} = \frac{135}{1} = 135 \text{ Rs} \]

### Final Answer
- The cost of `3(1/3)` kg of rice at `Rs 40(1/2)` per kg is **Rs 135**.

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