A person while buying a dress on sale spends Rs. 45 and saves Rs. 5, what is the percentage of his savings?

Options

A. `5%`
B. `10%`
C. `15%`
D. `20%`

Explanation

To solve the problem step by step, we will determine the percentage of savings based on the information given.

### Step 1: Identify the cost price and savings
- The person spent Rs. 45 on the dress.
- The savings amount is Rs. 5.

### Step 2: Calculate the market price (original price)
- The market price is the amount before the discount, which can be calculated by adding the savings to the amount spent.
- Market Price = Amount Spent + Savings
- Market Price = Rs. 45 + Rs. 5 = Rs. 50

### Step 3: Calculate the percentage of savings
- The percentage of savings can be calculated using the formula:

\[ \text{Percentage of Savings} = \left( \frac{\text{Savings}}{\text{Market Price}} \right) \times 100 \]

- Substituting the values:

\[ \text{Percentage of Savings} = \left( \frac{5}{50} \right) \times 100 \]

### Step 4: Simplify the calculation
- Simplifying the fraction:

\[ \frac{5}{50} = \frac{1}{10} \]

- Now, multiply by 100:

\[ \text{Percentage of Savings} = \frac{1}{10} \times 100 = 10\% \]

### Conclusion
- The percentage of savings is **10%**.

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