Direction: Answer the questions based on the information given below. The given line graph shows the revenue generated from debit card transactions and cash transactions for five different stores, A, B, C, D and E. Note: (a) If the total revenue generated worldwide (from debit card and cash transactions) is less than 400 million, then the store is given a '3' rating. (b) If the total revenue generated worldwide (from debit card and cash transactions) is between 400 million and 500 million, then the store is given a '2' rating. (c) If the total revenue generated worldwide (from debit card and cash transactions) is more than 500 million, then the store is given a '1' rating. (d) The sum of revenue from debit card transactions for stores 'A' and 'E' is 420 million, and the difference between the revenue from cash transactions for stores 'C' and 'D' is 48 million. Which of the given store is/are given the rating '2'?

### Concept & Threshold Analysis To find which stores have a '2' rating, we need to calculate the total worldwide revenue (debit + cash) for each store and check which ones fall strictly between 400 million and 500 million based on Note (b). ### Step-by-Step Solution * **Step 1: Determine multiplier variables $p$ and $q$.** * From Note (d): A and E debit sum = $6p + 8p = 14p = 420 \Rightarrow p = 30$. * From Note (d): C and D cash difference = $10q - 8q = 2q = 48 \Rightarrow q = 24$. * **Step 2: Calculate total revenue per store.** * **Store A:** Debit = $6(30) = 180$; Cash = $12.5(24) = 300$. Total = $180 + 300 = 480$. * **Store B:** Debit = $9(30) = 270$; Cash = $7.5(24) = 180$. Total = $270 + 180 = 450$. * **Store C:** Debit = $11(30) = 330$; Cash = $10(24) = 240$. Total = $330 + 240 = 570$. * **Store D:** Debit = $5(30) = 150$; Cash = $8(24) = 192$. Total = $150 + 192 = 342$. * **Store E:** Debit = $8(30) = 240$; Cash = $12(24) = 288$. Total = $240 + 288 = 528$. * **Step 3: Apply rating criteria.** * Rating '2' requires total revenue between 400 and 500 million. * Store A (480) and Store B (450) fit this criterion. ### Exam Strategy & Shortcut Once you calculate the first few stores, you can quickly estimate the others. Store C ($330+240$) and E ($240+288$) clearly exceed 500 without needing precise arithmetic, putting them in rating '1'. This leaves only A and B in the middle tier. ### Common Pitfall A common mistake is incorrectly evaluating $12.5 \times 24$ or $7.5 \times 24$. Use fractions to speed this up: $12.5 = 25/2 \Rightarrow (25/2) \times 24 = 25 \times 12 = 300$. ### Final Answer Therefore, the correct answer is **Store A and B**.