If 9 kg of sugar costs Rs 238.50, how much sugar can be bought for Rs 371?

Answer

To solve the problem step by step, we can follow these calculations:

### Step 1: Understand the relationship
We know that the cost of sugar is directly proportional to the quantity of sugar. This means that if the cost increases, the quantity of sugar that can be bought also increases.

### Step 2: Set up the proportion
From the problem, we have:
- Cost for 9 kg of sugar = Rs 238.50
- We need to find out how much sugar (in kg) can be bought for Rs 371.

Let \( x \) be the quantity of sugar (in kg) that can be bought for Rs 371. We can set up the proportion as follows:
\[ \frac{9 \text{ kg}}{238.50 \text{ Rs}} = \frac{x \text{ kg}}{371 \text{ Rs}} \]

### Step 3: Cross-multiply to solve for \( x \)
Cross-multiplying gives us:
\[ 9 \text{ kg} \times 371 \text{ Rs} = x \text{ kg} \times 238.50 \text{ Rs} \]
This simplifies to:
\[ 9 \times 371 = x \times 238.50 \]

### Step 4: Calculate \( 9 \times 371 \)
Calculating the left side:
\[ 9 \times 371 = 3339 \]
So we have:
\[ 3339 = x \times 238.50 \]

### Step 5: Solve for \( x \)
Now, we can isolate \( x \) by dividing both sides by 238.50:
\[ x = \frac{3339}{238.50} \]

### Step 6: Perform the division
Calculating the right side:
\[ x = \frac{3339}{238.50} \approx 14 \]

### Final Answer
Thus, the quantity of sugar that can be bought for Rs 371 is approximately **14 kg**.

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