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Percentages · Question 58 of 72

Question 58

HardOriginal question

A seller cuts the price of a table fan by 10%, and a week later cuts the new price by another 10%. The fan now costs ₹1,215. What was its original price?

Options for question 58

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. After two 10% cuts the price is 0.9×0.9=0.810.9 \times 0.9 = 0.81 of the original.

  2. Original = 12150.81=₹1,500\frac{1215}{0.81} = ₹1{,}500.

Worth noting

Adding 20% (₹1,458) or adding 10% twice (₹1,470.15) to ₹1,215 uses the wrong base. Divide by the multiplier instead.

Concept
Reversing successive discounts
Typical time
90 s
Your time
—
The rule this testsSuccessive percentage change
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Ten questions from Percentages, at your own pace.

Practise this chapter →

Ten questions from Percentages, at your own pace.

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