Book B Discount Data Extraction

To solve this problem, we first need to gather the specific discount information for Book B from the provided table and understand the question's requirements.

• The question asks for the selling price of Book B in Store 2.
• We are given that the average selling price of Book B across Store 2 and Store 3 is ₹594.
• From the table:
  • The discount for Book B in Store 2 is 14%.
  • The discount for Book B in Store 3 is 10%.
• A crucial piece of information is that the marked price (MP) for every book is the same across all stores.

Marked Price Calculation

Since the selling price depends on the marked price and the discount, we need to calculate the marked price (MP) first. We can use the average selling price information for this.

The relationship between Selling Price (SP), Marked Price (MP), and Discount percentage is given by the formula:

$ \text{SP} = \text{MP} \times \frac{100 - \text{Discount}\%}{100} $

Let's represent the selling price of Book B in Store 2 as $ \text{SP}_2 $ and in Store 3 as $ \text{SP}_3 $. Using the formula:

• $ \text{SP}_2 = \text{MP} \times \frac{100 - 14}{100} = \text{MP} \times \frac{86}{100} $
• $ \text{SP}_3 = \text{MP} \times \frac{100 - 10}{100} = \text{MP} \times \frac{90}{100} $

We know the average selling price of Book B in these two stores is ₹594. The average is calculated as:

$ \frac{\text{SP}_2 + \text{SP}_3}{2} = 594 $

Now, substitute the expressions for $ \text{SP}_2 $ and $ \text{SP}_3 $ into the average formula:

$ \frac{\left( \text{MP} \times \frac{86}{100} \right) + \left( \text{MP} \times \frac{90}{100} \right)}{2} = 594 $

To find MP, we first multiply both sides by 2:

$ \text{MP} \times \frac{86}{100} + \text{MP} \times \frac{90}{100} = 594 \times 2 $

$ \text{MP} \times \left( \frac{86 + 90}{100} \right) = 1188 $

$ \text{MP} \times \left( \frac{176}{100} \right) = 1188 $

Now, isolate MP by multiplying by $ \frac{100}{176} $:

$ \text{MP} = 1188 \times \frac{100}{176} $

$ \text{MP} = \frac{118800}{176} $

Calculating the value:

$ \text{MP} = 675 $

So, the marked price (MP) of Book B is ₹675.

Store 2 Selling Price Calculation

With the marked price calculated, we can now find the specific selling price of Book B in Store 2.

We use the formula again, with MP = ₹675 and the discount for Store 2 = 14%:

$ \text{SP}_2 = \text{MP} \times \frac{100 - 14}{100} $

$ \text{SP}_2 = 675 \times \frac{86}{100} $

Convert the fraction to a decimal:

$ \text{SP}_2 = 675 \times 0.86 $

Performing the multiplication:

$ \text{SP}_2 = 580.5 $

Thus, the selling price of Book B in Store 2 is ₹580.5.