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. Line graph showing revenue generated from debit card transactions and cash transactions (in millions) for five different stores: A, B, C, D, and E, featuring data points in variables p and q. 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. Find the ratio of the total revenue generated from store 'A' and 'B' together from debit card transactions to the total revenue generated from store 'B' worldwide.

Aptitude Ratio and Proportion Difficulty: Medium
Choose an option
  • A
    2 : 3
  • B
    1 : 2
  • C
    1 : 1
  • D
    3 : 4
  • E
    None of these

Answer

Correct Answer: 1 : 1

Explanation

### Concept & Logic The problem requires finding the unknown variables $p$ and $q$ using the given conditions, and then calculating specific revenue values to find the required ratio. ### Step-by-Step Solution * **Find $p$:** According to Note (d), the sum of revenue from debit card transactions for stores 'A' and 'E' is 420 million. * From the graph data, revenue from debit cards for store A is $6p$ and for store E is $8p$. * Therefore, $6p + 8p = 420$ * $14p = 420 \Rightarrow p = 30$ * **Find $q$:** According to Note (d), the difference between the revenue from cash transactions for stores 'C' and 'D' is 48 million. * From the graph data, revenue from cash transactions for store C is $10q$ and for store D is $8q$. * Therefore, $10q - 8q = 48$ * $2q = 48 \Rightarrow q = 24$ * **Calculate Required Values:** * Debit card revenue for store A = $6p = 6 \times 30 = 180$ * Debit card revenue for store B = $9p = 9 \times 30 = 270$ * Total debit card revenue for stores A and B together = $180 + 270 = 450$ * Total revenue for store B worldwide (debit + cash): * Debit card revenue for B = $270$ * Cash transaction revenue for B = $7.5q = 7.5 \times 24 = 180$ * Total revenue for B = $270 + 180 = 450$ * **Find the Ratio:** * Ratio = (Total debit revenue of A and B) : (Total revenue of B) * Ratio = $450 : 450 = 1 : 1$ ### Exam Strategy & Shortcut Focus calculations only on the variables and specific data points requested by the question. Avoid calculating the revenue for all stores or determining their ratings, as it wastes valuable time. ### Common Pitfall A common mistake is misreading the graph values or mixing up the debit card equation with the cash transaction variables. Always double-check the legend mapping. ### Final Answer Therefore, the correct answer is **1 : 1**.
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