A fan is listed at Rs. 1400 and a discount of 20% is offered on the list price. What additional discount must be offered to the customer to bring the net price of Rs. 1100

Options

A. (a) `1 11/14`%
B. (b) `2 11/14`%
C. (c) `1 13/14`%
D. (d) `2 13/14`%

Answer

To solve the problem, we need to follow these steps:

### Step 1: Calculate the Discount Amount
The list price of the fan is Rs. 1400, and a discount of 20% is offered.

**Calculation:**
- Discount = 20% of Rs. 1400
- Discount = (20/100) * 1400 = Rs. 280

### Step 2: Calculate the Selling Price after Discount
Now, we will subtract the discount from the list price to find the selling price.

**Calculation:**
- Selling Price = List Price - Discount
- Selling Price = 1400 - 280 = Rs. 1120

### Step 3: Determine the Required Selling Price
We want the net price to be Rs. 1100.

### Step 4: Calculate the Additional Discount Required
Now we need to find out how much additional discount is needed to reduce the selling price from Rs. 1120 to Rs. 1100.

**Calculation:**
- Additional Discount = Selling Price - Required Price
- Additional Discount = 1120 - 1100 = Rs. 20

### Step 5: Calculate the Additional Discount Percentage
To find the percentage of the additional discount based on the selling price of Rs. 1120:

**Calculation:**
- Additional Discount Percentage = (Additional Discount / Selling Price) * 100
- Additional Discount Percentage = (20 / 1120) * 100 = 1.7857%

Thus, the additional discount percentage required is approximately 1.79%.

### Final Answer
The additional discount that must be offered to the customer is Rs. 20, which is approximately 1.79% of the selling price.

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