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 from sale of ACs by Store F is approximately ________ % of the income from the sale of ACs by Store E.
Answer: A. 23.22 — ConceptWhen a table gives a total quantity together with the ratio in which it is split, the count of any one category is total × (that category's ratio part…
- A.
23.22
- B.
25.33
- C.
24.44
- D.
22.22
Show answer & explanation
Correct answer: A
Concept
When a table gives a total quantity together with the ratio in which it is split, the count of any one category is total × (that category's ratio part ÷ sum of all parts).
Income from that category is then count × selling price per unit, and to express one store's income as a percentage of another's you divide the first income by the second and multiply by 100.
Application
Store F sold 605 devices in the ratio AC : Cooler : Fan = 2 : 4 : 5, so the parts total 2 + 4 + 5 = 11.
AC units at Store F = 605 × 2/11 = 110.
AC income at Store F = 110 × ₹19,000 = ₹20,90,000.
Store E sold 1000 devices in the ratio AC : Cooler : Fan = 5 : 1 : 4, so the parts total 5 + 1 + 4 = 10, giving AC units = 1000 × 5/10 = 500.
AC income at Store E = 500 × ₹18,000 = ₹90,00,000.
Required percentage = (20,90,000 ÷ 90,00,000) × 100 = (209 ÷ 900) × 100 = 23.22% approximately.
Cross-check and contrast
Reverse the last step as a check: 23.22% of ₹90,00,000 is ₹20,89,800, which rounds to Store F's AC income of ₹20,90,000.
Store | AC units sold | Selling price per AC (₹) | Income from ACs (₹) |
|---|---|---|---|
F | 110 | 19,000 | 20,90,000 |
E | 500 | 18,000 | 90,00,000 |
Both splits are exact — 605 is divisible by 11 and 1000 by 10 — so no rounding enters the unit counts and the only approximation is in the final percentage.
A common slip is to compare the totals sold (605 against 1000) or the AC unit counts (110 against 500) and ignore the different unit prices of ₹19,000 and ₹18,000; the higher price at Store F raises the figure above the plain unit-count comparison.
So the income from the sale of ACs by Store F is approximately 23.22% of the income from the sale of ACs by Store E.