The cost of `5 1/4` kg of mangoes is Rs 231. At what rate per kg are the mangoes being sold?

Answer

To find the rate per kg of mangoes, we will follow these steps:

### Step 1: Convert the mixed fraction to an improper fraction
The cost of mangoes is given as `5 1/4` kg. We need to convert this mixed fraction into an improper fraction.

\[ 5 \frac{1}{4} = \frac{(5 \times 4) + 1}{4} = \frac{20 + 1}{4} = \frac{21}{4} \text{ kg} \]

### Step 2: Set up the equation for cost per kg
The total cost of `5 1/4` kg of mangoes is Rs. 231. We need to find the cost per kg. We can set up the equation as follows:

\[ \text{Cost per kg} = \frac{\text{Total Cost}}{\text{Total Weight}} = \frac{231}{\frac{21}{4}} \]

### Step 3: Simplify the division
To divide by a fraction, we multiply by its reciprocal:

\[ \frac{231}{\frac{21}{4}} = 231 \times \frac{4}{21} \]

### Step 4: Calculate the multiplication
Now we will simplify the multiplication:

1. First, divide 231 by 21:
\[ 231 \div 21 = 11 \]

2. Now multiply by 4:
\[ 11 \times 4 = 44 \]

### Conclusion
The cost per kg of mangoes is Rs. 44.

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