Question

Difficulty: EasyPercentage Calculations

A tool kit originally costs $40\$40. Its price is increased to $50\$50. What is the percentage increase in the price of the tool kit?

  1. A
    20%20\%
  2. B
    125%125\%
  3. 25%25\%Answer
  4. D
    250%250\%

Answer

25%25\%
The correct percentage increase is found by determining the difference between the new price and the old price ($10\$10), and then dividing that difference by the original price ($40\$40). The fraction 10/4010/40 reduces to 1/41/4, which equals 0.250.25 or 25%25\%.

Step-by-Step Solution

1
Calculate the absolute increase in price.
$50−$40=$10\$50 - \$40 = \$10
The percentage increase is always based on the amount of change in value.
2
Divide the price increase by the original price to find the decimal rate.
10÷40=0.2510 \div 40 = 0.25
Percentage change must be calculated relative to the starting amount, not the final amount.
3
Convert the decimal rate to a percentage.
0.25×100=25%0.25 \times 100 = 25\%
Multiplying a decimal by 100 formats it as a standard percentage.

Key Concept

Percentage Increase
Estimated Time:45s
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