In a quiz, Ayesha scored 90. Nikhil scored 20% less than Ayesha, and Farhan scored 20% more than Nikhil. What was Farhan's score?

57.6Correct answerYour answer72Correct answerYour answer86.4Correct answerYour answer90Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Nikhil = $90 \times 0.8 = 72$ .
Farhan = $72 \times 1.2 = 86.4$ .

Worth noting

A 20% fall followed by a 20% rise does not return to 90: the rise is on the smaller number. Net effect = $-20 + 20 - 4 = -4\%$ , and $96\% \text{ of } 90 = 86.4$ .

Concept: Successive decrease and increase by the same percentage
Typical timeTypical: 55 s
Your timeYours: —

The rule this testsSuccessive percentage change

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Ten questions from Percentages, at your own pace.

In a quiz, Ayesha scored 90. Nikhil scored 20% less than Ayesha, and Farhan scored 20% more than Nikhil. What was Farhan's score?

Explanation