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Question

\(20\%\) of \(125\%\) of \(160 = ?\)

This question was previously asked in
RRB ALP/Technician 2018 CBT 2 Electronics Mechanic Question Paper (23-Jan-2019) (Shift 1)
The correct answer is
40

Calculate 20% of 125% of 160

To solve this problem, we need to calculate a percentage of a percentage of a number. This involves converting percentages into decimals or fractions and performing multiplication.

Convert Percentages to Decimals

First, convert the given percentages into their decimal forms:

  • \(20\% = \frac{20}{100} = 0.20\)
  • \(125\% = \frac{125}{100} = 1.25\)

Rewrite the Expression

The phrase "of" in mathematics signifies multiplication. So, the expression "\(20\%\) of \(125\%\) of $160$" can be written as:

\(0.20 \times 1.25 \times 160\)

Perform the Calculation

Calculate the result step-by-step:

  1. First, multiply $1.25$ by $160$:

    \(1.25 \times 160 = 200\)

  2. Next, multiply the result ($200$) by $0.20$:

    \(0.20 \times 200 = 40\)

Thus, \(20\%\) of \(125\%\) of $160$ is $40$.

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Important Questions from Percentage

  1. In an examination, 25% of the candidates failed in Mathematics and 12% failed in English. If 10% of the candidates failed in both the subjects and 292 candidates passed in both the subjects, which one of the following is the number of total candidates appeared in the examination?

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  4. In an examination, Ram obtained 20 % more than Ashok but 10% less than Rajesh. If the marks obtained by Ashok is 1080. Then the Percentage marks obtained by Rajesh if the full marks is 2000 ;

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