Question

If x% of 15 is equal to y% of 20 and y% of 20 is equal to 44% of 15, then the value of y + x is

• A. 62
• B. 73
• C. 77
• D. 64

Answer 1

The correct option is C 77

$x$% of $15$ is equal to $y$% of 20

That is,

$\frac{x}{100}\times 15=\frac{y}{100}\times 20$

$\Rightarrow 15x=20y$

$3x=4y$ .........(1)

$y$% of $20$ is equal to $44$% of 15

That is,

$\frac{y}{100}\times 20=\frac{44}{100}\times 15$

$\Rightarrow 20y=44\times 15=660$

$y=\frac{660}{20}=33$

Now, from (1),

$3x=4y=4\left(33\right)$

$x=\frac{4\times 33}{3}$

$x=4\times 11=44$

Now,

$x+y=33+44=77$