A large store has only three departments, Clothing, Produce, and Electronics. The following figure shows the percentages of revenue and cost from the three departments for the years 2016, 2017 and 2018. The dotted lines depict percentage levels. So for example, in 2016, 50% of store’s revenue came from its Electronics department while 40% of its costs were incurred in the Produce department.
In this setup, Profit is computed as (Revenue – Cost) and Percentage Profit as Profit/Cost × 100%.
It is known that
1. The percentage profit for the store in 2016 was 100%.
2. The store’s revenue doubled from 2016 to 2017, and its cost doubled from 2016 to 2018.
3. There was no profit from the Electronics department in 2017.
4. In 2018, the revenue from the Clothing department was the same as the cost incurred in the Produce department.
Q. 1 What was the percentage profit of the store in 2018?
Q. 2 What was the ratio of revenue generated from the Produce department in 2017 to that in 2018?
1) 4 : 3 2) 8 : 5 3) 9 : 16 4) 16 : 9
Q. 3 What percentage of the total profits for the store in 2016 was from the Electronics department?
Q. 4 What was the approximate difference in profit percentages of the store in 2017 and 2018?
1) 25.0 2) 8.3 3) 33.3 4) 15.5
✅ Precalculated/Extracted Tables:
Cost Table (from image, % of total cost)
| Year | Clothing | Produce | Electronics | Total Cost |
|---|---|---|---|---|
| 2016 | 30% (30) | 40% (40) | 30% (30) | 100 |
| 2017 | 30% (90) | 30% (90) | 40% (120) | 300 |
| 2018 | 20% (40) | 50% (100) | 30% (60) | 200 |
Revenue Table (from image, % of total revenue)
| Year | Clothing | Produce | Electronics | Total Revenue |
|---|---|---|---|---|
| 2016 | 20% (40) | 30% (60) | 50% (100) | 200 |
| 2017 | 30% (120) | 40% (160) | 30% (120) | 400 |
| 2018 | 40% (100) | 40% (100) | 20% (50) | 250 |
✅ Q1. What was the percentage profit of the store in 2018?
From the table:
- Total Revenue (2018) = 250
- Total Cost (2018) = 200
- Profit = 250 – 200 = 50
- % Profit = (Profit / Cost) × 100 = (50 / 200) × 100 = 25%
✅ Answer: 25%
✅ Q2. What was the ratio of revenue generated from Produce in 2017 to that in 2018?
From revenue table:
- Produce Revenue 2017 = 160
- Produce Revenue 2018 = 100
- Required ratio = 160 : 100 = 8 : 5
✅ Answer: Option 2) 8 : 5
✅ Q3. What percentage of total profits in 2016 came from Electronics?
Let’s compute profit from each department in 2016:
- Revenue (Electronics) = 100
- Cost (Electronics) = 30
- Profit (Electronics) = 100 – 30 = 70
Total profit in 2016 = Revenue – Cost = 200 – 100 = 100
So, % contribution from Electronics = (70 / 100) × 100 = 70%
✅ Answer: 70%
✅ Q4. What was the approximate difference in profit percentages of 2017 and 2018?
- From the data:
- 2017 Revenue = 400
- 2017 Cost = 300
- Profit = 100
- Profit % = (100 / 300) × 100 = 33.33%
- 2018 Profit % = 25%
Difference = 33.33% – 25% = 8.33%
✅ Answer: Option 2) 8.3
✅ Final Answers:
| Q. No | Answer |
|---|---|
| Q1 | 25% |
| Q2 | 8 : 5 |
| Q3 | 70% |
| Q4 | 8.3% |
