Question

The price of a shirt is reduced by 7% to Rs.465 . What is it's original price ?​

Answer 1

Step-by-step explanation:

☘$ᎪΝՏᏔᎬᎡ:-$

$\: \:$

✪$Solution:-$

$Let \: \: the \: \: original \: \: price \: \: of \: \: the \\ shirt \: \: be \: \: x.$

$\: \: \: \:$

$Rate \: \: of \: \: reduction \: = 7\%$

$\: \:$

$Reduction \: = 7\% \: of \: x$

$= \: \frac{7}{100} \: x.$

$\: \:$

$According \: \: to \: \: statement,$

$⇢ x \: - \: \frac{7}{100} \: x \: = \: 465$

$⇢ \frac{100x \: - \: 7x}{100} \: = 465$

$⇢ \frac{93}{100} \: x = \: 465$

$⇢ x \: = \: \frac{465 \: \times \: 100}{93}$

$\: \:$

$∴The \: \: original \: \: price \: \: is \: \: Rs. \: \: 500.$

Answer 2

$\sf \small{Let \: the \: original \: price \: of \: the \: shirt \: be \: x.}$

$\sf \small{Rate \: of \: reduction  \: =7 \%}$

$\small \sf{: \implies \dfrac{7}{100} x}$

$\sf \color {fuchsia}{According \: to \: statement,}$

$\small \sf{ \: x - \dfrac{7}{100} x = 465}$

$\sf \small{ \dfrac{100x - 7x}{100} = 465}$

$\sf \small{ \dfrac{93}{100}x = 465}$

$\sf \small{x = \dfrac{465 \times 100}{93} = 500}$

$\small\sf{ \pmb{ \color {aqua}{∴ The \: original \: price \: is  \: Rs.500}}}$