The ratio of Zoya's marks to Nikhil's marks was $5 : 8$ . Zoya's marks then rose by 20% and Nikhil's fell by 25%. What is the new ratio of Zoya's marks to Nikhil's?

3 : 5

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5 : 8

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4 : 3

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1 : 1

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Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

Take Zoya = 5 and Nikhil = 8.
Zoya's new marks = $5 \times 1.2 = 6$ ; Nikhil's new marks = $8 \times 0.75 = 6$ .
New ratio = $6 : 6 = 1 : 1$ .

Worth noting

Treating Nikhil's change as a 25% rise gives $6 : 10 = 3 : 5$ .

Ten questions from Ratio & Proportion, at your own pace.

Ten questions from Ratio & Proportion, at your own pace.

The ratio of Zoya's marks to Nikhil's marks was 5:85 : 85:8. Zoya's marks then rose by 20% and Nikhil's fell by 25%. What is the new ratio of Zoya's marks to Nikhil's?