A housewife saved Rs. 250 in buying a dress on sale. If she spent Rs. 25 for the dress, and he sold for Rs 297, approximately how much per cent she saved in the transaction ?

Options

A. `8%`
B. `9%`
C. `10%`
D. `11%`

Answer

To solve the problem, we need to determine the percentage saved by the housewife during her transaction. Here’s how we can do it step by step:

### Step 1: Identify the Cost Price and Selling Price
- The housewife spent Rs. 25 for the dress, which is the cost price (CP).
- She sold the dress for Rs. 297, which is the selling price (SP).

### Step 2: Calculate the Amount Saved
- The amount saved is given as Rs. 250. However, this amount saved is not directly related to the cost price or selling price in this context. It seems to indicate the discount she received on the original price of the dress before the sale.

### Step 3: Determine the Original Price
- To find the original price (OP) of the dress, we can use the information about the savings:
\[ \text{Savings} = \text{Original Price} - \text{Cost Price} \]
Rearranging gives us:
\[ \text{Original Price} = \text{Savings} + \text{Cost Price} \]
Substituting the values:
\[ \text{Original Price} = 250 + 25 = 275 \]

### Step 4: Calculate the Percentage Saved
- The percentage saved can be calculated using the formula:
\[ \text{Percentage Saved} = \left( \frac{\text{Savings}}{\text{Original Price}} \right) \times 100 \]
Substituting the values:
\[ \text{Percentage Saved} = \left( \frac{250}{275} \right) \times 100 \]

### Step 5: Perform the Calculation
- Now, we need to calculate:
\[ \frac{250}{275} \approx 0.9091 \]
Multiplying by 100 gives:
\[ 0.9091 \times 100 \approx 90.91\% \]

### Final Answer
- Therefore, the housewife saved approximately **90.91%** in the transaction.

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