Pizza factory has come out with two kinds of pizzas. A square pizza of side 45 cm costs Rs 150 and a circular pizza of diameter 50 cm costs ₹160. Determine the cost per unit area of both the pizzas.

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Square pizza is better.

Circular pizza is better.

Both are equivalent.

None of the above.

answer is B.

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Detailed Solution

Given, pizza factory has come out with two kinds of pizzas.
Cost of square pizza of side 45 cm = Rs 150
Cost of a circular pizza of diameter 50 cm = ₹160.
The area of a square with side length say ‘a’ is given as

a 2

and the area of any circular object of ‘r’ radius is given by

π r 2

.
Now, as per the question,
For square pizza, a = 45 cm, so its area will be,

= a 2 = (45) 2 = 2025 cm 2

For circular pizza, diameter is 50 cm, so the radius will be half, i.e.,
r =

502 = 25

cm.
Then its area will be,

= π r 2 = 227 × (25) 2 = 227 × 625 = 1964.28 cm 2

Now, to determine which pizza deal is better, we will have to determine the price per unit area for both shapes of pizzas.

Price of ​ ​ ​ ​ square pizza = 2025150 = 13.5

So, the price of square pizza is Rs 13.50

Price ofcircular pizza = 1964.28 160 = 12.27

So, the price of circular pizza is Rs 12.27.
Now, as the price of circular pizza is less as compared to the price of square pizza, circular pizza is a better deal.
Hence, the correct option is (2).

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