A man buys `17.5` kg of rice for `"Rs 936.25."` find the price of `1` kg of rice.

Options

A. `"Rs 53.50"`
B. `"Rs 58.50"`
C. `"Rs 93.50"`
D. `"Rs 53.70"`

Answer

To find the price of 1 kg of rice, we can follow these steps:

**Step 1: Identify the total cost and the total weight.**
- The total cost of rice is Rs. 936.25.
- The total weight of rice is 17.5 kg.

**Step 2: Set up the equation to find the price of 1 kg of rice.**
- To find the price of 1 kg of rice, we can use the formula:
\[ \text{Price of 1 kg} = \frac{\text{Total Cost}}{\text{Total Weight}} = \frac{936.25}{17.5} \]

**Step 3: Remove the decimal for easier calculation.**
- To simplify the division, we can eliminate the decimals by multiplying both the numerator and the denominator by 10:
\[ \frac{936.25 \times 10}{17.5 \times 10} = \frac{9362.5}{175} \]

**Step 4: Perform the division.**
- Now we will divide 9362.5 by 175. To do this, we can first convert 9362.5 into a whole number:
\[ 9362.5 = 93625 \quad (\text{after multiplying by 10}) \]
- Now we divide:
\[ 93625 \div 175 \]

**Step 5: Simplify the division.**
- We can simplify this division by finding common factors. First, we can divide both numbers by 25:
\[ 93625 \div 25 = 3745 \]
\[ 175 \div 25 = 7 \]
- Now, we have:
\[ \frac{3745}{7} \]

**Step 6: Perform the final division.**
- Now we divide 3745 by 7:
\[ 3745 \div 7 = 535 \]

**Step 7: Find the price of 1 kg.**
- Since we multiplied by 10 earlier, we need to divide the result by 10 to get the price of 1 kg:
\[ \text{Price of 1 kg} = \frac{535}{10} = 53.5 \]

**Final Answer:**
- The price of 1 kg of rice is Rs. 53.5.

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