In a 3 kg fruit cake, 750 gm of dry fruits was used. What is the percentage of the weight of dry fruits used in the cake?

Options

A. 0.75
B. 0.25
C. 0.37
D. `30%`

Answer

To find the percentage of the weight of dry fruits used in the cake, we can follow these steps:

### Step 1: Identify the weights
- Weight of the fruit cake = 3 kg
- Weight of dry fruits = 750 gm

### Step 2: Convert the weight of the cake to grams
Since the weight of the cake is given in kilograms, we need to convert it to grams for easier calculation.
- 1 kg = 1000 gm
- Therefore, 3 kg = 3 × 1000 gm = 3000 gm

### Step 3: Calculate the percentage
To find the percentage of the weight of dry fruits in the cake, we use the formula:
\[ \text{Percentage} = \left( \frac{\text{Weight of dry fruits}}{\text{Weight of cake}} \right) \times 100 \]
Substituting the values:
\[ \text{Percentage} = \left( \frac{750 \text{ gm}}{3000 \text{ gm}} \right) \times 100 \]

### Step 4: Perform the division
Now, we divide 750 by 3000:
\[ \frac{750}{3000} = 0.25 \]

### Step 5: Multiply by 100 to get the percentage
Now, multiply by 100:
\[ 0.25 \times 100 = 25 \]

### Final Answer
The percentage of the weight of dry fruits used in the cake is **25%**.

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