A box filled with gift articles weighs 25 kg. If the weight of the box and the gift articles, respectively, are in the ratio 1 : 9, then the weight of the articles (in grams) is:

The correct answer is 22500.

Step 1: Understand the total weight and the given ratio.

The total weight of the box filled with gift articles is 25 kg.

The ratio of the weight of the box to the weight of the gift articles is 1 : 9.

Step 2: Find the total number of ratio parts.

Total parts = 1 + 9 = 10 parts.

Step 3: Calculate the weight of the gift articles in kilograms.

Since the gift articles account for 9 out of 10 parts of the total weight:

$\text{Weight of articles in kg}=\frac{9}{10}\times 25=22.5\text{kg}$

Step 4: Convert the weight into grams.

We know that 1 kg = 1000 grams. Therefore:

$\text{Weight of articles in grams}=22.5\times 1000=22500\text{grams}$

Thus, the weight of the gift articles is 22500 grams.