amit

• Dec 1st, 2006

 

Bigger one will be better

BHISMADEB PANDA(NIL)

• Dec 9th, 2006

 

the answer will be bigger one, because its price is half of the smaller one.

in the case of suppose a person nedeed two 50 kg pumkins, that time if he get shorer one he have to pay rs 50 ,if the price is rs 1 per kilo. so u will take bigger one and he will pay rs 30.

ravichandra_r

 Profile Answers by ravichandra_r 

• Dec 19th, 2006

 

for 1st pumpkin circumfrence 2 x Pi x r1 = 60Cm ==> r1 = 30/Pi

for 2nd pumpkin circumfrence 2 x Pi x r2 = 50Cm==> r2 = 25/Pi

Volume of 1st pumkin = v1 = 4/3 x Pi x (30/Pi)^3

Volume of 2nd pumkin = v2 = 4/3 x Pi x (25/Pi)^3

v1/v2 = 30^3/25^3 = 1.728

v1 is 1.728 times v2

where as price is 1.5times of v2

Hence it is economical to buy 1st pumpkin

Guest

• Jan 15th, 2007

 

Mr. Chandran,

You have done a very good calculation. If its a solid mass.

But there is one more angle to look at this problem.

The pumpkins are hollow from inside. It is their circumfrence which matters.

Their fore the ratio of pumpkins (Big/Small) = 60/50 is 1.2 times the smaller one.

Where as you are paying 1.5 times so buying the smaller one will be beneficial.

Guest

Siddharth

• Feb 18th, 2007

 

Well....actually, its not the circumference that matters for hollow pumpkins, but the surface area, whose ratio comes out to be (30/25)^2 which is 1.5625. Hence, it is still beneficial to buy the bigger pumpkin, since you're gettin about 0.0625 more pumpkin than what you paid for....

bikash

• Mar 12th, 2007

 

4/3pi60*60*60=1st pumpkin let x4/3pi50*50*50=2nd pumpkin let y
if x/y>3/2 then 1st one is more profitable

uday

• Mar 18th, 2007

 

guys i dont know y u people think so much calculation to solve this , see i will tell it in simple manner both are of SAME QUANTITY, so both circumference and hollowness does not mattersas question clearly says that SMALL is better option

S.Raghavan

• Apr 13th, 2007

 

Its literally a logical one.Since the smaller one is of 50cms in circumferance and cost less than one and half times lesser than just 60cms.
example let smaller one's price(50cms)=Rs.50
therefore (75cms)=rs.75/-
but what the problem states is 60cms=rs.75/- which is a loss to the customer.
So a sensible person has to prefer the smaller one

Yorel

• Nov 18th, 2017

 

Well the 60 cm it is only 16.7 % larger than the 50 cm one remember punkings are hollow inside so volume does not matter since most of it is nothing and seeds so since it cost 50% more to buy a 60 cm and it is only 16 7 % larger so the best option monetarily speaking will be the 50 cm one, if you dont care about the price and need the 60 cm then 60 cm is for you