Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

Three pizza outlets A, B and C sell three types of pizza namely cheese pizza, veg pizza and paneer pizza. In a day, A can sell 40 cheese pizza, 30 veg pizza and 20 paneer pizza; B can sell 20 cheese pizza, 40 veg pizza and 60 paneer pizza; C can sell 60 cheese pizza, 20 veg pizza and 30 paneer pizza. If the revenue generated in a day by A is ₹6000, by B is ₹9000 and by C is ₹7000. If x denotes selling price of cheese pizza, y is selling price of veg pizza and z be the selling price of Paneer pizza then based on this information, answer the following question:

The revenue generated by three outlets A, B and C are :

Options:

6000

22000

16000

15000

Correct Answer:

22000

Explanation:

Outlet A ⇒ 40x + 30y + 20z = 6000 .....(i)

Outlet B ⇒ 20x + 40y + 60x = 9000 .....(ii)

Outlet C ⇒ 60x + 20y + 30z = 7000 .....(iii)

Total revenue generated by A, B and C are = 6000 + 9000 + 7000 = 22000