Question

if 16.66% of a certain number is equal to 5/6 of other number, what is ratio between the numbers ?

Answer 1

$Let \: a \: number \: be \: \red{x}$

$Second \: number = \red{y}$

/* According to the problem given */

$16.66\% \: of \: x = \frac{5}{6} \: of \: y$

$\implies 16.66\% \times x = \frac{5}{6} \times y$

$\implies \frac{16.66}{100} \times x = \frac{5}{6} \times y$

$\implies \frac{x}{y} = \frac{5}{6}\times \frac{100}{16.66}$

$\implies \frac{x}{y} = \frac{12500}{2499}$

Therefore.,

$\red{ Required \: ratio \: between \: the \:numbers }\\\green { = 12500 : 2499}$

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Answer 2

✰✰|| Solution :

Let, the no. be x and y.

16.66% of x = 5/6 × y

⇒1666/10000 × x = 5/6 × y

⇒1666/10000 × x = 5/6 × y

⇒x/y = 5/6 × 10000/1666

⇒x/y = 12500/2499

⇒x : y = 12500 : 2499