Ratio of A to C over four years — Aptitude Question
Ratio of A to C over four years: | Year | Product A | Product B | Product C | Total |… Answer and worked solution on CodeKairo.
- Topic: Tables & Charts
- Section: Data Interpretation
- Difficulty: Medium
- Time target: 75 seconds
Question
| Year | Product A | Product B | Product C | Total |
|---|---|---|---|---|
| 2022 | 120 | 180 | 100 | 400 |
| 2023 | 150 | 200 | 130 | 480 |
| 2024 | 210 | 190 | 200 | 600 |
| 2025 | 240 | 260 | 250 | 750 |
What is the ratio of total Product A sales to total Product C sales across all four years?
Options
- 18 : 17
- 17 : 18
- 12 : 13
- 36 : 35
Show the answer and the worked solution
Correct answer: A. 18 : 17
Worked solution
- Product A total = 120 + 150 + 210 + 240 = 720.
- Product C total = 100 + 130 + 200 + 250 = 680.
- 720 : 680 = 72 : 68 = 18 : 17.
Answer: 18 : 17.
The idea
Add first, reduce last. Dividing both sides by their HCF (40 here) turns an unwieldy ratio into one that matches an option directly.
Shortcut. A's total is the larger, so the first term must be the bigger: 17 : 18 and 12 : 13 go at once. 720 : 680 ÷ 40 = 18 : 17; 36 : 35 only looks like the unreduced 72 : 68.
Common trap. 17 : 18 has the right numbers in the wrong order — it is C to A, the smaller total set against the larger.