Question

Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 100. What is the value of x ?

Answer 1

50 is equal to x value .....

Answer 2

Answer:

Required value of x is 200.

Step-by-step explanation:

Given,Positive integer y is 50 percent of 50 percent of positive integer x.

50% of x $= \frac{50}{100} \times x$

and 50% of 50% of x

$= \frac{50}{100} \times \frac{50}{100} \times x$

So,

$y = \frac{50}{100} \times \frac{50}{100} \times x.....(1)$

Again given,

y% of x

$= 100$

$\frac{y}{100} \times x = 100 \\ y \times x = 100 \times 100 \\ y \times x = 10000 \\ y = \frac{10000}{x}$

We are putting value of y in equation (1),

$\frac{10000}{x} = \frac{50}{100} \times \frac{50}{100} \times x \\ {x}^{2} = \frac{10000 \times 100 \times 100}{50 \times 50} \\ x = \sqrt{\frac{10000 \times 100 \times 100}{50 \times 50} } \\ x = \frac{100 \times 100}{50} \\ x = 200$

Therefore required value of x is 200.

Here applied formula,

$a\% \: of \: b \: = \frac{a}{100} \times b$

This is a problem of percentage.

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