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. For the store that received a '3' rating, out of the total revenue generated from debit card transaction, 60% was paid by males, and the rest was paid by females. Meanwhile, out of the total revenue generated from cash transactions, 25% was paid by males, and the rest was paid by females. Find the revenue generated worldwide from females for the store that received a '3' rating.

### Concept & Logic First, we must determine the base variables $p$ and $q$ using Note (d) to find the total revenue of all stores and identify the store with a '3' rating (revenue < 400 million). Then, we apply the percentage splits to find the female demographic's contribution. ### Step-by-Step Solution * **Step 1: Find $p$ and $q$:** * Sum of debit card revenue for A and E = $6p + 8p = 14p = 420 \Rightarrow p = 30$. * Difference of cash revenue for C and D = $10q - 8q = 2q = 48 \Rightarrow q = 24$. * **Step 2: Calculate total revenues for each store:** * Store A: $6(30) + 12.5(24) = 180 + 300 = 480$ million (Rating 2) * Store B: $9(30) + 7.5(24) = 270 + 180 = 450$ million (Rating 2) * Store C: $11(30) + 10(24) = 330 + 240 = 570$ million (Rating 1) * Store D: $5(30) + 8(24) = 150 + 192 = 342$ million (Rating 3) * Store E: $8(30) + 12(24) = 240 + 288 = 528$ million (Rating 1) * **Step 3: Analyze the target store:** * The store with a '3' rating (< 400 million) is **Store D**. * Store D debit revenue = 150 million. * Store D cash revenue = 192 million. * **Step 4: Calculate female revenue for Store D:** * Females paid $(100\% - 60\%) = 40\%$ of debit transactions: $0.40 \times 150 = 60$ million. * Females paid $(100\% - 25\%) = 75\%$ of cash transactions: $0.75 \times 192 = 144$ million. * Total revenue from females = $60 + 144 = 204$ million. ### Exam Strategy & Shortcut Instead of calculating every store's total immediately, you can eyeball the minimum values. Store D has the lowest coefficients ($5p$ and $8q$). Calculate D first: $150 + 192 = 342$. Since $342 < 400$, you've instantly found the '3' rating store without fully calculating the rest. ### Common Pitfall A frequent error is calculating the male percentages (60% and 25%) instead of reading carefully that the question asks for the "rest" paid by females (40% and 75%). ### Final Answer Therefore, the correct answer is **204 million**.