1. The price of a mobile phone at The Mobile Store is $750 and at Phone Mart is $875. Phone Mart also
gives 15% discount on the mobile phone. Which store has the cheaper price for the mobile phone?
Show your calculations.

Respuesta :

Answer:

'Phone Mart has the cheaper price for the mobile phone.

Step-by-step explanation:

Discount

  • Discount on the price of a commodity is the total amount reduced from the regular price of that commodity.
  • For a given discount percentage say P %, the discount is determined by multiplying the decimal form of the discount percentage with the regular price.

Calculation for price of the mobile phone at the two stores

According to the question, the price of the mobile phone at 'The Mobile Store is $[tex]750[/tex].

Next, it is given that 'Phone Mart' offers the same mobile phone at the price of $[tex]875[/tex], but with a discount of [tex]15[/tex]%.

Now, the decimal form of the given discount percentage is given as,

[tex]15[/tex]% [tex]=\frac{15}{100}[/tex] , or [tex]0.15[/tex]

So, the discount offered on the mobile phone at 'Phone Mart' is given as,

[tex]0.15\times875=131.25[/tex]

Now, the new price of the mobile phone after a discount of $[tex]131.25[/tex] will be,

[tex]875-131.25=743.75[/tex]

Thus, the price at which 'Phone Mart' offers the mobile phone is $[tex]743.75[/tex].  

Comparison of the price of the mobile phones at the two stores

Price of the mobile phone at 'The Mobile Store' [tex]=[/tex] $[tex]750[/tex]

Price of the mobile phone at 'Phone Mart' [tex]=[/tex] $[tex]743.75[/tex]

Comparing the two prices, it can be observed that [tex]743.75[/tex] < [tex]750[/tex].

So, it can be concluded that 'Phone Mart' offers the mobile phone at a cheaper price.

To know more about 'Discount' visit https://www.vedantu.com/formula/discount-formula