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Percentages · Question 57 of 72

Question 57

HardOriginal question

Rohan's salary was cut by x%, and later the reduced salary was raised by x%. He now earns 4% less than his original salary. What is x?

Options for question 57

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Net change for −x% then +x% is −x2100%-\frac{x^2}{100}\%.

  2. x2100=4\frac{x^2}{100} = 4, so x2=400x^2 = 400 and x=20x = 20.

  3. Check: 100 → 80 → 96, which is 4% less.

Worth noting

A cut and a rise by the same percentage always leave a net LOSS of x2100%\frac{x^2}{100}\%, whatever the order.

Concept
Finding the rate from the net effect of successive changes
Typical time
100 s
Your time
—
The rule this testsSuccessive percentage change
Practise this chapter →

Ten questions from Percentages, at your own pace.

Practise this chapter →

Ten questions from Percentages, at your own pace.