The following table shows the total number of air-cooling devices consisting…
2025
The following table shows the total number of air-cooling devices consisting of ACs, Coolers and Fans that were sold by six different stores (A–F), along with the ratio among these devices and the selling price (₹) of these devices per unit. Based on the data in the table, answer the questions that follow.
Store-wise details of air cooling devices
Store | Total Number of Devices Sold | Ratio of Devices AC : Cooler : Fan | Selling Price Per Unit (₹) AC | Cooler | Fan |
|---|---|---|---|---|---|
A | 1250 | 4 : 5 : 1 | 14000 | 4000 | 750 |
B | 450 | 3 : 2 : 4 | 15000 | 4500 | 800 |
C | 850 | 6 : 4 : 7 | 16000 | 5000 | 850 |
D | 900 | 4 : 2 : 3 | 17000 | 5500 | 900 |
E | 1000 | 5 : 1 : 4 | 18000 | 6000 | 950 |
F | 605 | 2 : 4 : 5 | 19000 | 6500 | 1000 |
Income that came from the sale of Coolers by Store D was ________ % more than the income that came from the sale of Fans by Store F.
Answer: A. 300 — ConceptTo find how much one quantity is greater than another in percentage terms, use: percentage more = ((larger value − base value) ÷ base value) × 100.…
- A.
300
- B.
200
- C.
350
- D.
100
Show answer & explanation
Correct answer: A
Concept
To find how much one quantity is greater than another in percentage terms, use: percentage more = ((larger value − base value) ÷ base value) × 100.
When a total is divided in a ratio, the count for one category equals total × (that category’s ratio part ÷ sum of all ratio parts). Income then equals count × selling price per unit.
Application
For Store D, the AC : Cooler : Fan ratio is 4 : 2 : 3, whose parts sum to 9. Coolers sold = 900 × (2 ÷ 9) = 200.
Income from Store D coolers = 200 × ₹5,500 = ₹11,00,000.
For Store F, the AC : Cooler : Fan ratio is 2 : 4 : 5, whose parts sum to 11. Fans sold = 605 × (5 ÷ 11) = 275.
Income from Store F fans = 275 × ₹1,000 = ₹2,75,000.
Percentage more = ((₹11,00,000 − ₹2,75,000) ÷ ₹2,75,000) × 100 = (₹8,25,000 ÷ ₹2,75,000) × 100 = 300%.
Cross-check
₹11,00,000 ÷ ₹2,75,000 = 4. Thus Store D’s cooler income is four times Store F’s fan income, so the excess is three times the base, or 300%.
Result
The required percentage is 300%.