1. There are three types of birds A,B & C . A costs 5pounds, B costs 3 Pounds and C costs 1/3 of a pound. Find the no. of A,B &C such that u will get 100 birds for 100 pounds.

Interview Candidate
Jan 31st, 2006
6
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sunnyjain

Mar 14th, 2006

there wil 8 bird of type A and 11 of type B and 81 of type C

sreenath

Apr 1st, 2006

ans is A=13 B=6 C=81

Sonali Panda

Apr 7th, 2006

In 5p =1 A
in 1P=1/5 A,similarly in 1p 1/3 B and in 1p 3C
So in 3 P=1/5 A+1/3 B+ 3C
In 100p=33/5 A+33/3 B+ 33*3 C nearly equals 7A+11B+99C
Quantity=117 Birds.we have to get 100birds.So deduct 17Birds of Type C
Cost of 17 bird=17*1/3(take 18,so 18/3=6Pound)
But cost for 7A+11B+99C=101,1A we can add.
ans=8A+11B+81C

amit

Jul 6th, 2006

a=4b=18c=78also possible ans ,check

vikraman

Jun 24th, 2007

There can only be 3 solutions
Solutions area, b, c are in order 4,18,788,11,8112,4,84

Explanation a+b+c
=100-(e1)5a+3b+c/3
=100-(e2)3(e2)-(e1)14a+8b
=200 or 7a+4b
=100
Substitute a with any value so that b must be a round digit
There can be only 3 values for a i.e, 4,8,12 which gives b as 18,11,4 respectively
Substitute a, b in (e1) and get value of c
I am saying this so that we wont waste our time to find other solutions, like i did...