A mobile phone is listed at Rs. 1,500 and a discount of 10% is offered on the list price. What additional discount must be offered to the customer now to bring the net price to Rs. 1,242 ?

Options

A. `10%`
B. `8%`
C. `12%`
D. `18%`

Answer

To solve the problem step by step, we will follow the calculations as outlined in the video transcript.

### Step 1: Calculate the initial discount
The mobile phone is listed at Rs. 1,500 and a discount of 10% is offered.

\[ \text{Discount} = \text{List Price} \times \frac{\text{Discount Rate}}{100} = 1500 \times \frac{10}{100} = 150 \]

### Step 2: Calculate the selling price after the first discount
Now, we subtract the discount from the list price to find the selling price.

\[ \text{Selling Price} = \text{List Price} - \text{Discount} = 1500 - 150 = 1350 \]

### Step 3: Determine the required selling price
We want the net price to be Rs. 1,242. Therefore, we need to find the additional discount required to reduce the selling price from Rs. 1,350 to Rs. 1,242.

\[ \text{Additional Discount} = \text{Selling Price after first discount} - \text{Net Price} = 1350 - 1242 = 108 \]

### Step 4: Calculate the percentage of the additional discount
To find the percentage of the additional discount based on the selling price after the first discount (which is Rs. 1,350):

\[ \text{Percentage of Additional Discount} = \left( \frac{\text{Additional Discount}}{\text{Selling Price after first discount}} \right) \times 100 = \left( \frac{108}{1350} \right) \times 100 \]

Calculating this gives:

\[ \text{Percentage of Additional Discount} = \left( \frac{108 \times 100}{1350} \right) = \frac{10800}{1350} = 8 \]

### Conclusion
The additional discount that must be offered to the customer to bring the net price to Rs. 1,242 is **8%**.

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