two numbers are respectively 60% and 20% more than a third number second number expressed as a percentage of first is
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Answer:
Step-by-step explanation:
let x , y and z be the numbers.
x = 1.6z and y = 1.2z, then
y / x = 1.2 / 1.6 = 0.75
thus the second number is 75% of the first.
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Therefore second number is 75% of first number.
Two numbers are respectively 60% and 20% more than a third number.
We have to express second number as a percentage of first.
Let third number is 100.
a/c to question, first number is 60% more than third number.
∴ first number = 100 + 60% of 100 = 100 + 60 × 100/100 = 160
again, Second number is 20% more than third number.
∴ second number = 100 + 20% of 100 = 100 + 20 × 100/100 = 120
so, first number = 160
second number = 120
let second number is x % of first number
⇒120 = x % × 160
⇒120/160 = x/100
⇒300/4 = x
⇒x = 75 %
Therefore second number is 75% of first number.
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