Marked Price Calculation for Book D

The objective is to calculate the marked price of Book D. We are provided with the average selling price of Book D in Store 2 and Store 3, which is ₹1,480. The table chart gives us the discount percentages for various books across different stores. It's important to remember that the marked price remains constant for the same book, regardless of the store.

Book D Discounts in Stores 2 & 3

First, we need to extract the relevant discount information for Book D from the provided table chart. Specifically, we need the discounts offered by Store 2 and Store 3.

From the table, we find:

• The discount for Book D in Store 2 is 6%.
• The discount for Book D in Store 3 is 9%.

Calculation Using Average Selling Price

The relationship between marked price (MP), discount percentage, and selling price (SP) is defined by the following formula:

$SP = MP \times (1 - \frac{Discount\%}{100})$

We are given the average selling price (ASP) for Book D across Store 2 and Store 3. The formula for the average selling price is:

$ASP = \frac{SP_{Store2} + SP_{Store3}}{2}$

Let's calculate the selling prices for Book D in each store using the identified discounts:

• Selling Price in Store 2 ($SP_{Store2}$): $SP_{Store2} = MP \times (1 - \frac{6}{100}) = MP \times (\frac{100 - 6}{100}) = MP \times \frac{94}{100}$
• Selling Price in Store 3 ($SP_{Store3}$): $SP_{Store3} = MP \times (1 - \frac{9}{100}) = MP \times (\frac{100 - 9}{100}) = MP \times \frac{91}{100}$

Now, we plug these into the average selling price equation, using the given ASP of ₹1,480:

$1,480 = \frac{SP_{Store2} + SP_{Store3}}{2}$

Substituting the expressions for the selling prices:

$1,480 = \frac{(MP \times \frac{94}{100}) + (MP \times \frac{91}{100})}{2}$

Factor out the Marked Price (MP) and sum the fractions:

$1,480 = \frac{MP \times (\frac{94}{100} + \frac{91}{100})}{2}$

$1,480 = \frac{MP \times (\frac{94 + 91}{100})}{2}$

$1,480 = \frac{MP \times \frac{185}{100}}{2}$

To isolate MP, we first multiply both sides of the equation by 2:

$1,480 \times 2 = MP \times \frac{185}{100}$

$2,960 = MP \times \frac{185}{100}$

Now, rearrange the equation to solve for MP:

$MP = \frac{2,960 \times 100}{185}$

$MP = \frac{296,000}{185}$

Finally, perform the division:

$MP = 1,600$

Final Marked Price Result

The calculation shows that the marked price of Book D is ₹1,600.