Question

Rehana purchased a dress for rupees 5400 including 12%GST .find theprice of the dress before GST was added

Answer 1

Qᴜᴇsᴛɪᴏɴ :-

Rehana purchased a dress for rupees 5400 including 12%GST .find theprice of the dress before GST was added ?

Sᴏʟᴜᴛɪᴏɴ :-

Let us Assume That, before GST , Price was Rs.x .

Than,

it is given that, when 12% GST was added in that price it was sold for Rs.5400.

So,

→ x + (12% of x) = 5400

→ x + (12x/100) = 5400

→ (100x + 12x)/100 = 5400

→ 112x = 5400 *100

→ x = (5400*100)/112

→ x ≈ Rs.4821 (Ans.)

Hence, Before GST, the price of dress was Rs.4821.

Answer 2

${\huge{\bf{\red{\underline{Solution:}}}}}$

${\bf{\blue{\underline{Given:}}}}$

• Rehana purchased a dress for ruppes 5400.
• Including gst 12%.

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

• Price of dress before GST was added.

${\bf{\blue{\underline{Now:}}}}$

• Let the Original price be = n
• After GSt the Price will be = n +12%n

$\star \: \underline {\underline{\frak{ According \: to \: the \: qestion : }}}$

$: \implies{\sf{ n + \frac{12}{100}n = 5400 }}$

$: \implies{\sf{ n + \frac { \cancel{12}}{ \cancel{100}}n = 5400 }}$

$: \implies{\sf{ n + \frac {3} {25}n = 5400 }}$

$: \implies{\sf{ \frac {25n + 3n} {25} = 5400 }}$

$: \implies{\sf{ 25n + 3n = 5400 \times 25 }}$

$: \implies{\sf{ 28n = 135000}}$

$: \implies{\sf{ n = \frac{135000}{28} }}$

$: \implies{\sf{ n = 4821.42 }}$

Hence,the original price was 4821.42 Rs