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 |
What was the ratio between the income generated from the sale of Fans by Store B and Store E ?
Answer: C. 8 : 19 — ConceptWhen a total is divided in the ratio a : b : c, the quantity corresponding to one part is the total divided by a + b + c. Income from an item equals…
- A.
5 : 19
- B.
4 : 13
- C.
8 : 19
- D.
7 : 23
Show answer & explanation
Correct answer: C
Concept
When a total is divided in the ratio a : b : c, the quantity corresponding to one part is the total divided by a + b + c. Income from an item equals the number of units sold multiplied by its selling price per unit.
Application
For Store B, the total ratio parts are 3 + 2 + 4 = 9. Fans sold = 450 × 4/9 = 200.
Store B's income from fans = 200 × ₹800 = ₹160,000.
For Store E, the total ratio parts are 5 + 1 + 4 = 10. Fans sold = 1000 × 4/10 = 400.
Store E's income from fans = 400 × ₹950 = ₹380,000.
Required ratio = 160,000 : 380,000 = 8 : 19 after dividing both terms by 20,000.
Cross-check
The income fraction B/E is 160,000/380,000 = 8/19 ≈ 0.4211, which is the same fraction represented by 8 : 19.