Question

If 65% of x = 13% of y, then find the value of x if y = 2000. (a) 200 (b) 300 (c) 350 (d) none of these

Answer 1

The correct answer is option (d): none of these.

The value of x is 400.

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Let's solve the given problem:

We are given that,

$65\% \:of\:x = 13\%\:of\:y$

$\implies 65\% \:\times\:x = 13\%\:\times \:y$

$\implies \frac{65}{100} \:\times\:x = \frac{13}{100} \:\times \:y$

$\implies 65 \:\times\:x = 13 \:\times \:y$

$\implies \frac{y}{x } = \frac{65}{13}$

$\implies \frac{y}{x } = 5$

• on substituting y = 2000 (given)

$\implies \frac{2000}{x} = 5$

$\implies \frac{2000}{5} = x$

$\implies \bold{x = 400}$ ← option (d): none of these

Thus, the value of x is 400, so the correct option will be option (d): none of these.

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