Question

$\huge\color{red}\boxed{\colorbox{black}{Question}}$ᴛʜᴇ ᴘʀɪᴄᴇ ᴏꜰ ᴀ ᴛᴇᴀꜱᴇᴛ ɪꜱ ɪɴᴄʀᴇᴀꜱᴇᴅ ʙʏ 5%.ɪꜰ ᴛʜᴇ ɪɴᴄʀᴇᴀꜱᴇᴅ ᴘʀɪᴄᴇ ɪꜱ 441,ᴡʜᴀᴛ ɪꜱ ɪᴛꜱ ᴏʀɪɢɪɴᴀʟ ᴘʀɪᴄᴇ?​

Answer 1

$\begin{gathered}{\blue{Given\::}} \\ \end{gathered}$

The price of tea set is increased by 5%.

The increased price is Rs.441.

$\begin{gathered} \\ {\bf{To\: Find\::}} \\ \end{gathered}$

Original price of the tea set.

$\begin{gathered} \\ {\red{Solution\::}} \\ \end{gathered}$

Let,

Original price of the tea set is Rs.x.

According to the question,

Price of tea set is increased by 5%.

That means,

$\begin{gathered}\dashrightarrow\:\bf{Increased\:price\:=\:x\:+\:5\%~of~x\:} \\ \end{gathered}$

$\begin{gathered}\dashrightarrow\:\tt{441\:=\:x\:+\:\dfrac{5}{100}\times{x}\:} \\ \end{gathered}$

$\begin{gathered}\dashrightarrow\:\tt{441\:=\:x\:+\:0.05x\:} \\ \end{gathered}$

$\begin{gathered} \\ \end{gathered} \\ \begin{gathered}\dashrightarrow\:\bf\pink{1.05x = 441} \\ \\ \end{gathered}$

$\begin{gathered}\dashrightarrow\:\tt{x\:=\:\dfrac{441}{1.05}\:} \\ \end{gathered}$

$\begin{gathered}\dashrightarrow\:\bf\pink{x\:=\:Rs.420\:} \\ \\ \end{gathered}$

⇢x=Rs.420

∴ The original price of the tea set is Rs.420.