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.
How much percent more is the total revenue generated worldwide for the stores that received a '1' rating compared to the revenue generated from cash transactions for store A?
Aptitude
Percentage
Difficulty: Medium
Choose an option
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A266%
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B220%
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C325%
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D100%
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ENone of these
Answer
Correct Answer: 266%
Explanation
### Concept & Percentage Increase
We need to find the stores with a '1' rating (revenue > 500 million), aggregate their total revenue, and compare it against the cash revenue of store A using the percentage increase formula:
$$ \text{Percentage More} = \frac{\text{Final Value} - \text{Base Value}}{\text{Base Value}} \times 100 $$
### Step-by-Step Solution
* **Step 1: Recall base variables and totals.**
* $p = 30$ and $q = 24$.
* Store totals: A = 480, B = 450, C = 570, D = 342, E = 528.
* **Step 2: Identify '1' rating stores and sum their revenue.**
* Rating '1' means total revenue > 500 million.
* These are Store C (570) and Store E (528).
* Sum = $570 + 528 = 1098$ million.
* **Step 3: Determine the comparison base value.**
* The base is the "revenue generated from cash transactions for store A".
* Cash revenue for Store A = $12.5q = 12.5 \times 24 = 300$ million.
* **Step 4: Calculate the percentage difference.**
* Difference = $1098 - 300 = 798$.
* Percentage more = $\frac{798}{300} \times 100$.
* $\frac{798}{3} = 266\%$.
### Exam Strategy & Shortcut
When dividing by a nice round number like 300, ignore the hundreds place for the percentage multiplier. Just divide the raw difference (798) by 3. $798 \div 3$ can be mentally calculated as $(900 - 102) \div 3 = 300 - 34 = 266$.
### Common Pitfall
A standard error is comparing the total revenue of the '1' rating stores to the *total* revenue of Store A (480) instead of strictly the *cash* revenue of Store A (300) as explicitly requested by the question text.
### Final Answer
Therefore, the correct answer is **266%**.