What is the ratio between the total number of HDDs purchased by males from…
2024
What is the ratio between the total number of HDDs purchased by males from shop A on Tuesday and Wednesday together to the total number of HDDs purchased by females from shop B on Thursday and Friday together?
Answer: D. 74 : 41 — ConceptWhen a total is divided by gender, the male count equals total multiplied by (100 minus the female percentage) divided by 100. To compare two combined…
- A.
45 : 73
- B.
71 : 41
- C.
73 : 41
- D.
74 : 41
Show answer & explanation
Correct answer: D
Concept
When a total is divided by gender, the male count equals total multiplied by (100 minus the female percentage) divided by 100.
To compare two combined quantities, add the relevant counts first, form their ratio, and divide both terms by their greatest common divisor.
Application
Shop and day | Relevant percentage | Calculation | Count |
|---|---|---|---|
Shop A — Tuesday | Male 55% | 560 × 55/100 | 308 |
Shop A — Wednesday | Male 60% | 720 × 60/100 | 432 |
Shop B — Thursday | Female 25% | 760 × 25/100 | 190 |
Shop B — Friday | Female 40% | 550 × 40/100 | 220 |
The combined male purchases from Shop A on Tuesday and Wednesday are 308 + 432 = 740.
The combined female purchases from Shop B on Thursday and Friday are 190 + 220 = 410.
The required ratio is 740 : 410. Dividing both terms by 10 gives 74 : 41.
Cross-check
Cross multiplication gives 74 × 410 = 30,340 and 41 × 740 = 30,340, so 74 : 41 is equivalent to 740 : 410.
Therefore, the required ratio is 74 : 41.