The ratio of Fatima’s income to her savings is 4 : 1. The percentage of money saved by her is :

Options

A. `20%`
B. `25%`
C. `40%`
D. `80%`

Answer

To find the percentage of money saved by Fatima, we can follow these steps:

### Step 1: Understand the Ratio
The ratio of Fatima's income to her savings is given as 4:1. This means for every 4 parts of income, there is 1 part of savings.

### Step 2: Calculate Total Parts
To find the total parts, we add the parts of income and savings together:
- Income parts = 4
- Savings parts = 1
- Total parts = 4 + 1 = 5

### Step 3: Identify the Savings
From the ratio, we know that the savings part is 1.

### Step 4: Calculate the Percentage of Savings
To find the percentage of savings, we use the formula:
\[ \text{Percentage of Savings} = \left( \frac{\text{Savings}}{\text{Total Income}} \right) \times 100 \]
Substituting the values we have:
\[ \text{Percentage of Savings} = \left( \frac{1}{5} \right) \times 100 \]

### Step 5: Simplify the Calculation
Now we calculate:
\[ \frac{1}{5} = 0.2 \]
Then multiply by 100:
\[ 0.2 \times 100 = 20 \]

### Conclusion
Thus, the percentage of money saved by Fatima is **20%**.

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