A box filled with paper bundles weighs 36 kg. If the weight of the box and paper bundles respectively are in the ratio of `3 : 22`, then the weight of the papers (in grams) is

Options

A. 30680 grams
B. 30710 grams
C. 31500 grams
D. 31680 grams

Answer

To solve the problem step by step, we will follow these steps:

### Step 1: Understand the given information
We know that the total weight of the box and paper bundles is 36 kg. The ratio of the weight of the box to the weight of the paper bundles is 3:22.

### Step 2: Convert the total weight into grams
Since the weight is given in kilograms, we need to convert it into grams.
- 1 kg = 1000 grams
- Therefore, 36 kg = 36 × 1000 = 36,000 grams.

### Step 3: Determine the total parts in the ratio
The ratio of the box to the paper bundles is 3:22. To find the total parts, we add the two parts together:
- Total parts = 3 + 22 = 25 parts.

### Step 4: Find the weight of one part
Now, we can find the weight of one part by dividing the total weight by the total parts:
- Weight of one part = Total weight / Total parts = 36,000 grams / 25 = 1,440 grams.

### Step 5: Calculate the weight of the paper bundles
To find the weight of the paper bundles, we multiply the weight of one part by the number of parts for the paper bundles (which is 22):
- Weight of paper bundles = Weight of one part × Number of parts for paper = 1,440 grams × 22 = 31,680 grams.

### Final Answer
The weight of the paper bundles is **31,680 grams**.

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