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
It is impossible to be a mathematician without being a poet in soul.
Sofia Kovalevskaya
A MAN IS LIKE A FRACTION WHOSE NUMERATOR IS WHAT HE IS AND WHOSE DENOMINATOR IS WHAT HE THINK ABOUT HIMSELF LARGER THE DENOMINATOR SMALLER THE FRACTION