Multiple choice

A shopkeeper decreases the value of a T.V. set by 30%. By what percent must he increase the value to reach its initial value?

  1. 40%

  2. 42.85%

  3. 44.5%

  4. 46.7%

  5. 50%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let initial value be 100. Decreased by 30% = 70. To return to 100, increase must be 30. Percentage increase = (30/70) * 100 = 42.857%.

AI explanation

Let the initial value be 100, so a 30% decrease makes the new value 70. To restore it to 100, the required increase is 30, which is calculated as 30 divided by 70 multiplied by 100. This yields an increase of 42.85%, making the final result 42.85%.

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