Comprehension
Sales Revenue of Four Stores
The table below shows the sales revenue (in Rs. lakhs) of four stores (P, Q, R, S) in three months (January, February, March) in 2015.
| Store | January | February | March |
|---|---|---|---|
| P | 20 | 25 | 30 |
| Q | 15 | 20 | 25 |
| R | 30 | 35 | 40 |
| S | 10 | 15 | 20 |
Question: 1
What is the percentage increase in sales revenue of Store Q from January to March?
What is the percentage increase in sales revenue of Store Q from January to March?
Show Hint
Use \( \frac{\text{Final} - \text{Initial}}{\text{Initial}} \times 100 \) for percentage increase and verify by applying the percentage to the initial value.
Updated On: Jul 29, 2025
- 50%
- 60%
- 66.67%
- 75%
Show Solution
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The Correct Option is C
Solution and Explanation
We need to calculate the percentage increase in sales revenue for Store Q from January to March.
- Step 1: Extract data for Store Q. From the table:
- January: 15 lakhs.
- March: 25 lakhs.
- Step 2: Calculate the absolute increase.
\[ \text{Increase} = 25 - 15 = 10 \] - Step 3: Compute percentage increase.
\[ \text{Percentage increase} = \left( \frac{\text{Increase}}{\text{January revenue}} \right) \times 100 = \left( \frac{10}{15} \right) \times 100 = \frac{100}{1.5} \approx 66.67% \] - Step 4: Verify.
\[ 15 \times \left(1 + \frac{66.67}{100}\right) = 15 \times 1.6667 \approx 25 \] Correct.
- Step 5: Check options.
- (a) 50%: \( \frac{10}{15} \times 100 \neq 50 \).
- (b) 60%: \( \frac{10}{15} \times 100 \neq 60 \).
- (c) 66.67%: Correct.
- (d) 75%: \( \frac{10}{15} \times 100 \neq 75 \).
- Step 6: Alternative metho(d) Ratio: \( \frac{25}{15} = \frac{5}{3} \approx 1.6667 \). Increase = \( (1.6667 - 1) \times 100 \approx 66.67% \).
Thus, the answer is c.
- Step 1: Extract data for Store Q. From the table:
- January: 15 lakhs.
- March: 25 lakhs.
- Step 2: Calculate the absolute increase.
\[ \text{Increase} = 25 - 15 = 10 \] - Step 3: Compute percentage increase.
\[ \text{Percentage increase} = \left( \frac{\text{Increase}}{\text{January revenue}} \right) \times 100 = \left( \frac{10}{15} \right) \times 100 = \frac{100}{1.5} \approx 66.67% \] - Step 4: Verify.
\[ 15 \times \left(1 + \frac{66.67}{100}\right) = 15 \times 1.6667 \approx 25 \] Correct.
- Step 5: Check options.
- (a) 50%: \( \frac{10}{15} \times 100 \neq 50 \).
- (b) 60%: \( \frac{10}{15} \times 100 \neq 60 \).
- (c) 66.67%: Correct.
- (d) 75%: \( \frac{10}{15} \times 100 \neq 75 \).
- Step 6: Alternative metho(d) Ratio: \( \frac{25}{15} = \frac{5}{3} \approx 1.6667 \). Increase = \( (1.6667 - 1) \times 100 \approx 66.67% \).
Thus, the answer is c.
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Question: 2
Which store had the highest total sales revenue across the three months?
Which store had the highest total sales revenue across the three months?
Show Hint
Sum values across all periods for each entity and compare to identify the highest total.
Updated On: Jul 29, 2025
- Store P
- Store Q
- Store R
- Store S
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The Correct Option is C
Solution and Explanation
We need to find the store with the highest total sales revenue.
- Step 1: Calculate total revenue for each store.
- Store P: \( 20 + 25 + 30 = 75 \) lakhs.
- Store Q: \( 15 + 20 + 25 = 60 \) lakhs.
- Store R: \( 30 + 35 + 40 = 105 \) lakhs.
- Store S: \( 10 + 15 + 20 = 45 \) lakhs.
- Step 2: Compare totals.
- P: 75, Q: 60, R: 105, S: 45.
- Highest = 105 (Store R).
- Step 3: Verify. Recalculate R: \( 30 + 35 + 40 = 105 \). Correct.
- Step 4: Check options.
- (a) Store P: 75, incorrect.
- (b) Store Q: 60, incorrect.
- (c) Store R: 105, correct.
- (d) Store S: 45, incorrect.
- Step 5: Alternative metho(d) Compare monthly values; R consistently has high revenues.
Thus, the answer is c.
- Step 1: Calculate total revenue for each store.
- Store P: \( 20 + 25 + 30 = 75 \) lakhs.
- Store Q: \( 15 + 20 + 25 = 60 \) lakhs.
- Store R: \( 30 + 35 + 40 = 105 \) lakhs.
- Store S: \( 10 + 15 + 20 = 45 \) lakhs.
- Step 2: Compare totals.
- P: 75, Q: 60, R: 105, S: 45.
- Highest = 105 (Store R).
- Step 3: Verify. Recalculate R: \( 30 + 35 + 40 = 105 \). Correct.
- Step 4: Check options.
- (a) Store P: 75, incorrect.
- (b) Store Q: 60, incorrect.
- (c) Store R: 105, correct.
- (d) Store S: 45, incorrect.
- Step 5: Alternative metho(d) Compare monthly values; R consistently has high revenues.
Thus, the answer is c.
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Question: 3
In which month was the total sales revenue across all stores the lowest?
In which month was the total sales revenue across all stores the lowest?
Show Hint
Sum values across entities for each period and compare to find the minimum; check trends for confirmation.
Updated On: Jul 29, 2025
- January
- February
- March
- All equal
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The Correct Option is A
Solution and Explanation
We need to identify the month with the lowest total sales revenue across all stores.
- Step 1: Sum revenues for each month.
- January: \( 20 + 15 + 30 + 10 = 75 \) lakhs.
- February: \( 25 + 20 + 35 + 15 = 95 \) lakhs.
- March: \( 30 + 25 + 40 + 20 = 115 \) lakhs.
- Step 2: Compare totals.
- January: 75, February: 95, March: 115.
- Lowest = 75 (January).
- Step 3: Verify. Recalculate January: \( 20 + 15 + 30 + 10 = 75 \). Correct.
- Step 4: Check options.
- (a) January: 75, correct.
- (b) February: 95, incorrect.
- (c) March: 115, incorrect.
- (d) All equal: Incorrect, totals differ.
- Step 5: Alternative metho(d) Observe trend: Revenues increase each month, so January is lowest.
Thus, the answer is a.
- Step 1: Sum revenues for each month.
- January: \( 20 + 15 + 30 + 10 = 75 \) lakhs.
- February: \( 25 + 20 + 35 + 15 = 95 \) lakhs.
- March: \( 30 + 25 + 40 + 20 = 115 \) lakhs.
- Step 2: Compare totals.
- January: 75, February: 95, March: 115.
- Lowest = 75 (January).
- Step 3: Verify. Recalculate January: \( 20 + 15 + 30 + 10 = 75 \). Correct.
- Step 4: Check options.
- (a) January: 75, correct.
- (b) February: 95, incorrect.
- (c) March: 115, incorrect.
- (d) All equal: Incorrect, totals differ.
- Step 5: Alternative metho(d) Observe trend: Revenues increase each month, so January is lowest.
Thus, the answer is a.
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Question: 4
What is the average sales revenue per store in February? (Non-MCQ, enter the value in lakhs.)
What is the average sales revenue per store in February? (Non-MCQ, enter the value in lakhs.)
Show Hint
Sum values for the specified period and divide by the number of entities; verify by recalculating the sum.
Updated On: Jul 29, 2025
Show Solution
Verified By Collegedunia
Solution and Explanation
We need the average sales revenue per store in February.
- Step 1: Extract February revenues.
- P: 25, Q: 20, R: 35, S: 15.
- Step 2: Sum revenues.
\[ 25 + 20 + 35 + 15 = 95 \] - Step 3: Calculate average. Number of stores = 4.
\[ \text{Average} = \frac{95}{4} = 23.75 \] - Step 4: Verify. Add: \( 25 + 20 = 45 \), \( 45 + 35 = 80 \), \( 80 + 15 = 95 \). Divide: \( 95 \div 4 = 23.75 \). Correct.
Thus, the answer is 23.75.
- Step 1: Extract February revenues.
- P: 25, Q: 20, R: 35, S: 15.
- Step 2: Sum revenues.
\[ 25 + 20 + 35 + 15 = 95 \] - Step 3: Calculate average. Number of stores = 4.
\[ \text{Average} = \frac{95}{4} = 23.75 \] - Step 4: Verify. Add: \( 25 + 20 = 45 \), \( 45 + 35 = 80 \), \( 80 + 15 = 95 \). Divide: \( 95 \div 4 = 23.75 \). Correct.
Thus, the answer is 23.75.
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