Use the employee discount’s stated basis · source reference

Printed question

The usual selling price of a T-box game console, a Kinect sensor and a game DVD is 499 dollars in total. During the Great Singapore Sale, two companies, P and Q, offered the following discounts to their customers:

Company	T-box game console discount	Kinect sensor discount	Game DVD discount	Total price after discount
P	10%	15%	10%	439.15 dollars
Q	5%	25%	20%	426.30 dollars

The employees from Company P are offered a further 5% discount on the original price of both the Kinect sensor and the Game DVD. Determine if this additional discount will make it more attractive for the employees to purchase all the 3 items from their own company than from Company Q. [4]

[2011/AJC/Prelim/I/2]

Printed working

Let the price of a T-box console be $x$ dollars, a Kinect sensor be $y$ dollars and a Game DVD be $z$ dollars.

$x+y+z=499$.

$0.9x+0.85y+0.9z=439.15$.

$0.95x+0.75y+0.8z=426.30$.

Using GC, $x=247,y=199,z=53$.

Employees of Company P will pay $[0.9(247)+0.8(199)+0.85(53)]$ dollars

$=426.55$ dollars $>426.30$ dollars.

No, it will not be more attractive for employees to purchase all the 3 items from own company.

Printed answer key

No.

Source provenance

2025 TJC H2 Math (9758) JC2 MSM: EQUATIONS. Question sheet printed pages 15–19; solution sheet printed pages 1–12. Original exam attribution is retained above. Currency dollar signs are spelled out outside maths to avoid confusing currency with TeX delimiters.