Question

The price of a toy including 5% general sales tax is Rs.945. Find the original price of the toy.​

Answer 1

Answer :

• Original price of the toy is 900

Given :

• The price of a toy including 5 % general sales tax is Rs.945

To find :

• Original price of the toy

Solution :

Method (1) :

• Let the original price be x

• Price of the toy = 945
• Sales tax rate = 5%

According To Question,

》x + 5% of x = 945

》x + 5x/100 = 945

》105x/100 = 945

》105x = 945 × 100

》105x = 94500

》x = 94500/100

》x = 900

Hence , Original price of the toy is 900

Method (2)

Given,

• Price of the toy = 945
• Sales tax rate = 5%
• Price of the toy = 100 + 5 = 105 %

Now,

》105% = 945

》1 % = 955/105 = 9

》100 % = 900

Hence,Original price of the toy is 900

Answer 2

Given :-

• The price of a toy including 5% general sales tax is Rs. 945

To find :-

• Find the original price of the toy ?

Solution :-

• Let the original price be x

• Given that,

• Sales tax of rate = 5%
• Price of the toy = 945

• According of the Question,

:$\implies$x + 5% of x = 945

$~~~~~$:$\implies$x + $\large{\sf{\frac{5x}{100}}}$= 945

$~~~~~~~~~~$:$\implies$$\large{\sf{\frac{105x}{100}}}$= 945

$~~~~~~~~~~~~~~~$:$\implies$105x = 945 × 100

$~~~~~~~~~~~~~~~~~~~~$:$\implies$105x = 94500

$~~~~~~~~~~~~~~~~~~~~~~~~~$:$\implies$x = $\large{\sf{\frac{94500}{100}}}$

$~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~$:$\implies$x = ${\cancel{\dfrac{94500}{100}}}$

$~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~$:$\implies$${\underline{\boxed{\pink{\frak{x~=~900}}}}}$★

$\therefore$ Hence,

• Original price of the toy is = $\large\underline{\rm{900}}$