The marked price of a toy is ₹ 450. After a certain discount on the marked price, the selling price of the toy is ₹405. The rate of discount is:

Options

A. a)`8%`
B. b)`12%`
C. c)`15%`
D. d)`10%`

Answer

To find the rate of discount on the toy, we can follow these steps:

### Step 1: Identify the Marked Price and Selling Price
- The marked price (MP) of the toy is ₹450.
- The selling price (SP) of the toy is ₹405.

### Step 2: Calculate the Discount
- The discount (D) can be calculated using the formula:
\[ D = MP - SP \]
- Substituting the values:
\[ D = 450 - 405 = 45 \]

### Step 3: Calculate the Rate of Discount
- The rate of discount (R) is calculated using the formula:
\[ R = \left( \frac{D}{MP} \right) \times 100 \]
- Substituting the values:
\[ R = \left( \frac{45}{450} \right) \times 100 \]

### Step 4: Simplify the Calculation
- Simplifying the fraction:
\[ R = \left( \frac{1}{10} \right) \times 100 = 10 \]

### Conclusion
- The rate of discount is **10%**.

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