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Two numbers are, respectively, 20% and 10% more than a third number. The ratio of the first number to the second number, is:
Let's assume the third number is 'z'.
Two numbers are, respectively, 20% and 10% more than a third number.
First number = z of (100+20)%
= z of 120%
= $$z\times\frac{120}{100}$$
= 1.2z Eq.(i)
Second number = z of (100+10)%
= z of 110%
= $$z\times\frac{110}{100}$$
= 1.1z Eq.(ii)
The ratio of the first number to the second number = Eq.(i) : Eq.(ii)
= 1.2z : 1.1z
= 12 : 11
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