8 inch Pizza rs 300. If 16 inch is sold at 900. What % discount is there?
Answer Posted / siddharth
Start it with calculation as an Area of Circle , use Area = Pi* (Radius)^2
Then, First case: When Diameter is 8 and radius would be 4 (i.e. Diameter/2)
Then, Area would be 16*Pi ----(i)
Similarly, In case when Diameter is 16 and radius would be 8
Then, Area would be 64*Pi --- (ii)
Now, by unitary method :
16*Pi ------ 300 Rs
1 ---------- 300/(16*Pi) Rs
Similarly for (ii) equation
64*Pi ------ 900 Rs
1 ---------- 900/(64*Pi) Rs (= 225/16*Pi)
Now, to calculate Discount percent we use formula as below :
((Initial-Final)/Initial )*100
((300/(16*Pi) -225/(16*Pi))/300/(16*Pi))*100
On cancelling denominator and subtraction, we get
(75/300)*100=25%
Ans: 25%
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