Correct Answer:
C. 5:4
A ratio compares two quantities, and the order is crucial. The question asks for the ratio of orange to apple. The cost of an orange is Rs. 20, and an apple is Rs. 16. So, the initial ratio is 20:16.
To express a ratio in its simplest form, divide both numbers by their greatest common divisor (GCD). The GCD of 20 and 16 is 4. Dividing both parts by 4 gives: 20 ÷ 4 = 5 and 16 ÷ 4 = 4. Thus, the simplified ratio is 5:4, making option C correct.
- A: 20:16 is the correct initial ratio but not simplified.
- B: 4:5 is incorrect because it represents the ratio of apple to orange, not orange to apple.
- D: 16:20 is also incorrect as it represents the ratio of apple to orange and is not simplified.