Question

Balu bought a hair dryer for ₹ 3300including a GST of 10%. What is the price of hair dryer before GST was added?

Answer 1

◑ Given ◐

• Balu bought a hair dryer for ₹3300 including a GST of 10%.

◑ To find ◐

• What is the price of hair dryer before GST was added ?

◑ Solution ◐

$\\\bold\dag\:{\sf{Cost\:price\:of\:hair\:dryer(including\:GST)=Rs.3300}}$

$\bold\dag\:{\sf{Rate\:of\:GST=10\%}}$

$\qquad \large{\underline{\mathfrak{\red{\quad \star \: According\:to\:the\:question \: \star \quad}}}}$

Let the initial price or cost price of hair dryer before adding GST be x

$\\{\sf{\purple{Cost\:price_{(including\:GST)}=\:Rate\:of\:GST+Cost\:price_{(before\: including\:GST)}}}}$

$\implies\sf 3300=x + \dfrac{10}{100}$

$\implies\sf 3300 = x + \dfrac{1}{10}$

$\implies\sf 3300 = \dfrac{10x + 1}{10}$

• Cross multiplication

$\\\\\implies\sf 3300\times 10 = 10x + 1$

$\implies\sf 33000 = 10x + 1$

$\implies\sf 33000 - 1 = 10x$

$\implies\sf 32999 = 10x$

$\implies\sf x = \dfrac{32999}{10}$

$\implies\sf x = 3299.9$

${\underline{\boxed{\bf{\orange{Cost\:price_{(before\: including\:GST)} \: is \: Rs.3299.9}}}}}$

$\:$____________________________________________

Answer 2

given

• Balu bought a hair dryer for ₹ 3000
• 3300including a GST of 10%.

to. find.

• What is the price of hair dryer before GST was added?

answer

rupees 3000

solusion

let's. the. cost. of. hair. dryer. before. VAT. be.,

=x

thus. VAT. from. 10•/•.on. r. x. =.r. 10/100*x

=r. 10x/100

cost. of. hair. dryer.after.adding.vat.

=r. x+r. 10x/100

=r. 110/100.x.

now. according to the question

= r. 110/100x=3300

=x=rupees.3300*100/110

x=300*10/11

x=3000.

so. answer. x=3000.

therefore. the price of. hair. dryer before adding VAT was rupees 3000. answer

hope. it's. helps. you. friend.