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Question

Difficulty: EasyCalculating Percentages of Quantities

A recruitment office processes 400400 applications in a month. If 15%15\% of the applicants meet the requirements for a specialized technical role, how many applicants qualify for this role?

  1. A
    66
  2. 6060Answer
  3. C
    340340
  4. D
    385385

Answer

Exactly 6060 applicants qualify for the role.
To calculate 15%15\% of 400400, first convert the percentage to its decimal form, which is 0.150.15. Then, multiply the total number of applicants (400400) by the decimal (0.150.15). The calculation 400×0.15400 \times 0.15 equals 6060. Therefore, 6060 applicants meet the requirements.

Step-by-Step Solution

1
Convert the percentage to a decimal.
15%=0.1515\% = 0.15
A percentage must be expressed as a decimal or fraction to be used in a calculation.
2
Multiply the total number of applications by the decimal.
400×0.15=60400 \times 0.15 = 60
Multiplying the total quantity by the percentage rate gives the fractional amount representing that percentage.

Key Concept

To find a specific percentage of a quantity, convert the percent to a decimal (or fraction) and multiply it by the total amount.
Estimated Time:45s
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Topics

Calculating Percentages of Quantities

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