Marked price of an item is Rs. 200. One purchase of 1 item discount is 5%, on purchase of 2 items discount is 14%. Rajeshri buys 3 times. What is the effective discount ?

Options

A. 37 per cent
B. 26.25 per cent
C. 11 per cent
D. 30.2 per cent

Answer

To find the effective discount when Rajeshri buys 3 items at a marked price of Rs. 200 each, we can follow these steps:

### Step 1: Understand the Discounts
- The marked price (MP) of one item is Rs. 200.
- Discount on 1 item = 5%
- Discount on 2 items = 14%

### Step 2: Calculate the Discounts
1. **Calculate Discount for 1 Item:**
\[ \text{Discount on 1 item} = \frac{5}{100} \times 200 = 10 \text{ Rs.} \]

2. **Calculate Discount for 2 Items:**
\[ \text{Discount on 2 items} = \frac{14}{100} \times 200 \times 2 = \frac{14}{100} \times 400 = 56 \text{ Rs.} \]

### Step 3: Calculate Total Cost for 3 Items
- Rajeshri buys 3 items, so we need to calculate the total cost after applying the respective discounts.

1. **Total Cost without Discount:**
\[ \text{Total Cost} = 3 \times 200 = 600 \text{ Rs.} \]

2. **Total Discounts:**
- For 1 item (first item) = 10 Rs.
- For 2 items (next two items) = 56 Rs.
- Total Discount = 10 + 56 = 66 Rs.

### Step 4: Calculate Effective Discount
- Now, we can calculate the effective discount percentage based on the total discount and the total marked price.

1. **Effective Discount Calculation:**
\[ \text{Effective Discount} = \frac{\text{Total Discount}}{\text{Total Marked Price}} \times 100 \]
\[ \text{Effective Discount} = \frac{66}{600} \times 100 = 11\% \]

### Conclusion
The effective discount when Rajeshri buys 3 items is **11%**.

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