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Percentages · Question 64 of 72

Question 64

MediumOriginal question

A mobile phone loses 25% of its value every year. After 2 years it is worth ₹22,500. What was it worth when new?

Options for question 64

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. After 2 years the value is 0.75×0.75=0.56250.75 \times 0.75 = 0.5625 of the original.

  2. Original = 225000.5625=₹40,000\frac{22500}{0.5625} = ₹40{,}000.

Worth noting

Multiplying ₹22,500 by 1.25 twice gives ₹35,156.25 — the 25% was of the higher earlier value. ₹45,000 undoes a simple 50% loss.

Concept
Reverse depreciation over two years
Typical time
60 s
Your time
—
The rule this testsPopulation growth and depreciation
Practise this chapter →

Ten questions from Percentages, at your own pace.

Practise this chapter →

Ten questions from Percentages, at your own pace.