Understanding the Discount Calculation

The problem asks us to find the percentage discount given on a mobile phone when we know its marked price and the price it was sold for.

• Marked Price (MP): This is the price initially listed or tagged on the item. Here, MP = $₹ 16,800$.
• Selling Price (SP): This is the final price at which the item was sold to the customer. Here, SP = $₹ 13,944$.
• Discount: This is the amount reduced from the marked price. It's the difference between the marked price and the selling price.
• Discount Percentage: This expresses the discount amount as a percentage of the original marked price.

Calculating the Discount Amount

First, we need to find the actual amount of discount given. We can calculate this by subtracting the selling price from the marked price:

Discount = Marked Price - Selling Price

Discount = $₹ 16,800 - ₹ 13,944$

Discount = $₹ 2,856$

So, the discount amount is $₹ 2,856$.

Calculating the Discount Percentage

Now, we need to express this discount amount as a percentage of the original marked price. The formula for discount percentage is:

Discount Percentage = $ \left( \frac{\text{Discount Amount}}{\text{Marked Price}} \right) \times 100\% $

Let's plug in the values we have:

Discount Percentage = $ \left( \frac{₹ 2,856}{₹ 16,800} \right) \times 100\% $

To simplify the fraction $\frac{2856}{16800}$, we can perform the division:

$ \frac{2856}{16800} = 0.17 $

Now, multiply by 100% to get the percentage:

Discount Percentage = $0.17 \times 100\% = 17\%$

Conclusion

The percentage discount given on the sale of the mobile phone is 17%.