A dinner set is quoted for Rs 1500. A customer pays Rs 1173 for it. If the customer got a series of two discounts and the rate of first discount is 15% then the rate of second discount which C pruchased it, then the percentage of was,

Options

A. 0.15
B. 0.07
C. 0.09
D. 0.08

Answer

To solve the problem step by step, we will follow the calculations based on the given information.

### Step 1: Identify the marked price and the selling price
- **Marked Price (MP)** = Rs 1500
- **Selling Price (SP)** = Rs 1173

**Hint:** The marked price is the original price before any discounts are applied, and the selling price is what the customer actually pays.

### Step 2: Calculate the first discount
- The first discount is given as 15% of the marked price.
- First Discount = 15% of MP = \( \frac{15}{100} \times 1500 \)

\[ \text{First Discount} = \frac{15}{100} \times 1500 = 225 \text{ Rs} \]

**Hint:** To find a percentage of a number, multiply the percentage (as a fraction) by the number.

### Step 3: Calculate the price after the first discount
- Price after first discount = MP - First Discount
\[ \text{Price after first discount} = 1500 - 225 = 1275 \text{ Rs} \]

**Hint:** Subtract the discount amount from the marked price to find the new price.

### Step 4: Determine the amount of the second discount
- The customer pays Rs 1173 after both discounts.
- The amount of the second discount = Price after first discount - SP
\[ \text{Second Discount} = 1275 - 1173 = 102 \text{ Rs} \]

**Hint:** The second discount can be found by subtracting the selling price from the price after the first discount.

### Step 5: Calculate the second discount percentage
- To find the second discount percentage, we use the formula:
\[ \text{Second Discount Percentage} = \left( \frac{\text{Second Discount}}{\text{Price after first discount}} \right) \times 100 \]
Substituting the values:
\[ \text{Second Discount Percentage} = \left( \frac{102}{1275} \right) \times 100 \]

Calculating this:
\[ \text{Second Discount Percentage} = \left( 0.08 \right) \times 100 = 8\% \]

**Hint:** To convert a fraction to a percentage, multiply by 100.

### Conclusion
The rate of the second discount is **8%**.