Question
Download Solution PDFThe diameter of a pizza is 8 cm; it will cost 240 rupees, and the diameter of other pizzas is 12 cm; it will cost 360 rupees. If the size of the pizza is directly proportional to the price, then find a discount on the second pizza.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Diameter of First Pizza = 8 cm; Radius = 4 cm
Price = Rs 240.
Diameter of Second Pizza = 12 cm; Radius = 6 cm
Price = Rs 360.
Concept:
The price is proportional to the size (i.e., the area), we should find the cost per square cm.
Calculation:
Area of the first pizza = π × (4)2 = 16π cm2.
Price per cm2 for the first pizza = 240/16π ≈ Rs 4.77/cm2
Area of the second pizza = π × (6)2 = 36π cm2.
The expected price for the second pizza = 4.77 × 36π ≈ Rs 540.
The discount on the second pizza is Rs 540 - Rs 360 = Rs 180.
∴ The correct answer is Rs 180.
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