Two numbers are respectively 52% and 20% less than a third number. What percent is the first number of the second?
Options -
5% / 80% / 75% / 93.75%
Answers
Answer:
Shortcut:
Let 3rd no = 100
Then 25% less than 100 will be ((100-25)/100)*100=75
Similarly 20% less will be 80
Percent is the first number of the second=(75/80)*100=93.75%
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Long(Standard Procedure)[TYPE1]
Let 3rd no = 100
25% less means in(Percentage) 100 less is (100-25)
1 less is (100-25)/100
Therefore,in 3rd number 100 less is ((100-25)/100)*100 = 75
20% less means in(Percentage) 100 less is (100-20)
1 less is (100-20)/100
Therefore,in 3rd number 100 less is ((100-20)/100)*100 = 80
Percent is the first number of the second =>(75/80)*100=93.75%
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Long(Standard Procedure)[TYPE2]
Let 3rd no = x
25% less means in(Percentage) 100 less is (100-25)
1 less is (100-25)/100
Therefore,in 3rd number x less is ((100-25)/100)*x = 0.75x
20% less means in(Percentage) 100 less is (100-20)
1 less is (100-20)/100
Therefore,in 3rd number x less is ((100-20)/100)*x = 0.8x
Percent is the first number of the second =>(0.75x/0.8x)*100=93.75%