Question 80

Two numbers x and y are respectively 20% and 25% more than the third number z. If x is a% of y, then a =

Solution

x is 20% more than z

$$\Rightarrow$$ x = $$\frac{120}{100}$$z

y is 25% more than z

$$\Rightarrow$$ y = $$\frac{125}{100}$$z

Also, x is a% of y

$$\Rightarrow$$ x = $$\frac{a}{100}$$y

$$\Rightarrow$$ $$\frac{120}{100}$$z = $$\frac{a}{100}\times\frac{125}{100}$$z

$$\Rightarrow$$ a = 96

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