Finding the Table Discount Percentage

This problem requires us to calculate the discount percentage offered on a table. We are given the marked price (the price tag on the item) and the selling price (the price at which it was actually sold).

Understanding the Terms

• Marked Price (MP): The price listed or printed on the product. Here, MP = ₹850.
• Selling Price (SP): The final price at which the product is sold to the customer. Here, SP = ₹748.
• Discount: The reduction in price offered on the marked price.
• Discount Percentage: The discount expressed as a percentage of the marked price.

Calculation Steps

First, we need to find the actual amount of the discount.

The formula for the discount amount is:

$Discount Amount = Marked Price (MP) - Selling Price (SP)$

Plugging in the values:

$Discount Amount = ₹850 - ₹748$

$Discount Amount = ₹102$

Next, we calculate the discount percentage using the discount amount and the marked price.

The formula for the discount percentage is:

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

Substitute the values we found:

$Discount Percentage = \left( \frac{₹102}{₹850} \right) \times 100\%$

To simplify the calculation:

$Discount Percentage = \left( \frac{102}{850} \right) \times 100\%$

We can simplify the fraction $\frac{102}{850}$. Both numbers are divisible by 17:

$102 \div 17 = 6$

$850 \div 17 = 50$

So, the fraction becomes $\frac{6}{50}$.

Alternatively, dividing both by 2 first gives $\frac{51}{425}$. Dividing by 17 gives $\frac{3}{25}$. Let's use $\frac{3}{25}$.

$Discount Percentage = \left( \frac{3}{25} \right) \times 100\%$

$Discount Percentage = 3 \times \left( \frac{100}{25} \right)\%$

$Discount Percentage = 3 \times 4\%$

$Discount Percentage = 12\%$

Conclusion

The discount percentage on the table is 12%.

Options Analysis

Let's review the given options:

• 1. 14%
• 2. 9%
• 3. 12%
• 4. 10%

Our calculated discount percentage matches option 3.