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Two numbers are respectively 20% and 25% more than a third number. What percentage of the second number is the first number?
80%
125%
96%
85%
96%
Assume the third number is 100. Then the first number is 120 and the second number is 125. The required percentage is simply (120/125) * 100.
The first number is 20% more than a third number, and the second number is 25% more than the same third number.
Percentage=Second┬аNumberFirst┬аNumberтАЛ├Ч100
Assume the third number is 100. Then the first number is 120 and the second number is 125. The required percentage is simply (120/125) * 100.
Students often calculate the percentage difference between the two numbers (5/125) or (5/120) instead of the required ratio (120/125).
Assume the third number
Let the third number be 100.
N3тАЛ=100
Calculate the first and second numbers
The first number is 20% more than 100, so N1тАЛ=100+20=120. The second number is 25% more than 100, so N2тАЛ=100+25=125.
N1тАЛ=120,N2тАЛ=125
Calculate the required percentage
We need to find what percentage of the second number is the first number: N2тАЛN1тАЛтАЛ├Ч100=125120тАЛ├Ч100.
125120тАЛ├Ч100=0.96├Ч100=96%
C is correct because the ratio of the first number to the second number is 120/125, which equals 96%.
This type of ratio comparison is frequently used in profit and loss problems involving markups and cost prices.