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

Answer:

Rs 420

Step-by-step explanation:

Let the original price be 'a'.

 When the price(a) is increased by 5%, it becomes Rs 441

  ∴ a + 5% of a = 441

⇒ a + (5/100) x a = 441

⇒ a + (0.05)a = 441

⇒ a(1 + 0.05) = 441

⇒ a = 441/1.05

⇒ a = 420

∴ Original price of the tea-set is Rs 420

Answer 2

${\bf{Given\::}}$

• The price of tea set is increased by 5%.

• The increased price is Rs.441.

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

• Original price of the tea set.

$\\ {\bf{Solution\::}}$

Let,

• Original price of the tea set is Rs.x.

According to the question,

• Price of tea set is increased by 5%.

That means,

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

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

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

$\dashrightarrow\:\tt{1.05x\:=\:441\:}$

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

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

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