Question

If 20% of 50% of x is twice the value of 50% of
25% of y, then x is what percent more or less
than y?​

Answer 1

Answer:

x/10=y/8

8x=10y

x=5/4y

so, x is 20% greater than y

Answer 2

x is 60% more than y.

Explanation:

To convert a percent into decimal we divide it by 100 .

Let A =  20% of 50% of x = 0.20 × 0.50 × (x) = 0.1 x

B = 50% of  25% of y = 0.50 × 0.25 × y = 0.125y

As per given :

A = 2 B

i.e. 0.1 x = 2(0.125 y)

⇒ 0.1 x  = 0.25 y

⇒ $x=\dfrac{0.25y}{0.1}\\\\ x=2.5y$

Difference in x and y = x- y = 2.5y-y= (2.5-1)y= 1.5 y

$\dfrac{1.5y}{x}\times100=\dfrac{1.5y}{2.5y}\times100\\\\=\dfrac{1.5}{2.5}\times100=60\%$

Hence, x is 60% more than y.

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