The cost of `5 1/4` kg of mangoes is Rs 189. 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 into an improper fraction
The cost of mangoes is given as `5 1/4` kg. We need to convert this mixed number 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
We know that the total cost for `5 1/4` kg of mangoes is Rs 189. We can express the cost per kg as follows:

\[ \text{Cost per kg} = \frac{\text{Total Cost}}{\text{Total Weight in kg}} = \frac{189}{\frac{21}{4}} \]

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

\[ \text{Cost per kg} = 189 \times \frac{4}{21} \]

### Step 4: Simplify the multiplication
Now we can simplify the multiplication:

1. First, simplify \( \frac{189}{21} \):
\[ 189 \div 21 = 9 \]

2. Now multiply by 4:
\[ 9 \times 4 = 36 \]

### Step 5: Conclusion
The cost per kg of mangoes is Rs 36.

### Final Answer:
The rate per kg of mangoes is Rs 36.

---