To solve this problem, we need to determine the cost price (CP) of Book A using the information provided for Store 1, and then calculate the profit or loss for Store 3 selling the same book.

Determine Cost Price using Store 1 Data

We are given that Store 1 sells Book A with a 14% discount and makes a 10% profit. Let the Marked Price (MP) of the book be '$M$'.

• Discount percentage by Store 1 = 14%
• Selling Price (SP) by Store 1 = $M \times (1 - \frac{14}{100}) = M \times (1 - 0.14) = M \times 0.86$
• Profit percentage by Store 1 = 10%
• The relationship between Selling Price (SP), Cost Price (CP), and Profit Percentage is: $SP = CP \times (1 + \frac{Profit\%}{100})$
• So, $M \times 0.86 = CP \times (1 + \frac{10}{100}) = CP \times (1 + 0.10) = CP \times 1.10$
• Now, we can find the Cost Price (CP) in terms of the Marked Price (M):
$ CP = \frac{M \times 0.86}{1.10} $ $ CP = M \times \frac{86}{110} = M \times \frac{43}{55} $

Calculate Selling Price for Store 3

From the table data interpretation, Store 3 offers an 18% discount on Book A.

• Discount percentage by Store 3 = 18%
• Selling Price (SP) by Store 3 = $M \times (1 - \frac{18}{100}) = M \times (1 - 0.18) = M \times 0.82$

Calculate Profit/Loss for Store 3

Profit or Loss is the difference between the Selling Price (SP3) and the Cost Price (CP).

• Profit/Loss = $SP_3 - CP$
$ Profit/Loss = (M \times 0.82) - (M \times \frac{43}{55}) $ $ Profit/Loss = M \times (0.82 - \frac{43}{55}) $
• To subtract the fraction, convert 0.82 to a fraction: $0.82 = \frac{82}{100} = \frac{41}{50}$
$ Profit/Loss = M \times (\frac{41}{50} - \frac{43}{55}) $
• Find a common denominator for 50 and 55. The least common multiple (LCM) of 50 and 55 is 550.
$ Profit/Loss = M \times (\frac{41 \times 11}{550} - \frac{43 \times 10}{550}) $ $ Profit/Loss = M \times (\frac{451}{550} - \frac{430}{550}) $ $ Profit/Loss = M \times \frac{451 - 430}{550} = M \times \frac{21}{550} $
• Since the result ($M \times \frac{21}{550}$) is positive, Store 3 makes a profit.

Calculate Profit Percentage

The profit percentage is calculated based on the Cost Price (CP).

• Profit Percentage = $\frac{Profit/Loss}{CP} \times 100$
$ Profit \% = \frac{M \times \frac{21}{550}}{M \times \frac{43}{55}} \times 100 $ $ Profit \% = \frac{21/550}{43/55} \times 100 $ $ Profit \% = (\frac{21}{550} \times \frac{55}{43}) \times 100 $ $ Profit \% = (\frac{21}{10 \times 43}) \times 100 $ $ Profit \% = \frac{21}{430} \times 100 = \frac{2100}{430} = \frac{210}{43} \% $

Approximate the Result and Select the Closest Option

Now, we calculate the numerical value and round it.

• $\frac{210}{43} \approx 4.8837... \%$
• Rounding this to the nearest integer gives 5%.
• However, comparing this result to the given options: 4%, 1%, 6%, 2%. The calculated value of approximately 4.88% is closest to 4%.

Therefore, the approximate profit percent incurred by Store 3 on Book A is 4%.