The marked price of a fan is ₹1500 and a discount of 20% is given on the marked price. Now, the additional discount given to a customer to keep the net price of that fan at 1116 is :

Question

Accepted Answer

To determine the additional discount required to keep the net price of the fan at ₹1116, we need to follow these steps:

1. **Calculate the price after the initial discount:**
   - The marked price of the fan is ₹1500.
   - A discount of 20% is given on the marked price.
   - The discount amount is calculated as 20% of ₹1500, which is $0.20 \times 1500 = ₹300$.
   - Therefore, the price after the initial discount is $1500 - 300 = ₹1200$.

2. **Determine the additional discount needed:**
   - We need the final price to be ₹1116.
   - The price after the initial discount is ₹1200.
   - The difference between the price after the initial discount and the desired final price is $1200 - 1116 = ₹84$.
   - The additional discount required is ₹84 on the price of ₹1200.

3. **Calculate the additional discount percentage:**
   - The additional discount percentage is calculated as $\frac{84}{1200}$.
   - $\frac{84}{1200} = 0.07$.

Therefore, the additional discount required is 7%, which corresponds to Option 3.

**Explanation for why other options are incorrect:**

- **Option 1 (0.05):** If the additional discount were 5%, the discount amount would be $0.05 \times 1200 = ₹60$. Subtracting this from ₹1200 gives $1200 - 60 = ₹1140$, which is not the desired final price of ₹1116.

- **Option 2 (0.06):** If the additional discount were 6%, the discount amount would be $0.06 \times 1200 = ₹72$. Subtracting this from ₹1200 gives $1200 - 72 = ₹1128$, which is not the desired final price of ₹1116.

- **Option 4 (0.08):** If the additional discount were 8%, the discount amount would be $0.08 \times 1200 = ₹96$. Subtracting this from ₹1200 gives $1200 - 96 = ₹1104$, which is not the desired final price of ₹1116.

Thus, Option 3 is the only correct choice, as it results in the desired final price of ₹1116.