M4maths Previous Puzzles

05 Jun 2012 cost

cost of 3 toys A, B and C are 50, 90 and 120 rupee respectively.
There are 3 free schemes for shopkeepers by their dealer.

1) buy 5 A and 10 B get 2 C free
2) buy 4 B and 8 C get 4 A free
3) buy 6 C and 12 A get 3 B free

Which scheme is most profitable for a shopkeeper

OPtion

1) first
2) second
3) third
4) first and second are equally likely
5) second and third re equally likely
6) third and first are equally likely
7) all are equally likely

Solution

in first scheme total investment = 5*50+10*90 = 1150
and free toys cost = 120*2 = 240
so profit investment ratio = 240/1150 = 0.2087
similarly in second scheme investment = 1320 and free toys cost = 200
so profit investment ratio = 200/1320 = 0.1515
and in third case investment = 1320 and profit = 270
so profit investment ratio = 270/1320 = 0.2045
so first scheme is best for a shopkeeper

Correct Option: 1 Best Solution (0)