Question

If 3 upon two % of a number is 80 find the number

Answer 1

Answer :-

• $\rm \text{ The value of x = 5333.33} \qquad \bold{[Apporx.]}$

Given :-

• $\rm \dfrac{3}{2} \: \% \: of \: x = 82$

To Find :-

• $\rm \text{The value of x = ?}$

Explanation :-

Let the Number to be 'x'

$\rm : \: \implies \dfrac{3}{2} \: \% \: of \: x = 80$

$\rm : \: \implies \dfrac{\dfrac{3}{2}}{100} \: \times \: x = 80$

$\rm : \: \implies \dfrac{3}{2} \times \dfrac{1}{100} \: \times \: x = 80$

$\rm : \: \implies \dfrac{3x}{200} = 80$

$\rm : \: \implies 3x = 80 \times 200$

$\rm : \: \implies x = \dfrac{80 \times 200}{3}$

$\rm : \: \implies x = \dfrac{16000}{3}$

$\red { \underline { \boxed { \bf : \: \implies x = 5333.33 \qquad \bold{[Apporx.]} }}}$

Hence, the number OR value of 'x' is 5333.33 (approx.)

@Agamsain

Answer 2

$\bf \underline{Given :- }$

$• \sf \: \frac{3}{2} \% \: of \: a \: number \: is \: 80.$

$\bf \underline {To \: Find :- }$

$• \: \sf{The \: Number .}$

$\bf \underline{Solution :-}$

$\sf \: Let \: the \: number \: be \: 'p'.$

$\sf \: According \: to \: the \: question,$

$\sf p \times \frac{3}{2} \% = 80$

$\sf \rightarrow \: p \times \frac{3}{2} \times \frac{1}{100} = 80$

$\sf \rightarrow \: p \times \frac{3}{200} = 80$

$\sf \rightarrow \: p = 80 \div \frac{3} {200}$

$\sf \rightarrow \: p = 80 \times \frac{200}{3}$

$\sf \rightarrow \: p = \frac{80 \times 200}{3}$

$\sf \rightarrow \: p = 5,333.3333333333$

$\pink {\star {\sf \: {Hence, \: the \: number \: is \: 5333.33 \: (approximately).}}}$