A problem by Abishek Nathan
You have 100 rurees.Your mother asked you to buy
100 fruits for 100 rupees
.
1 mango costs 5 rupees, 1 banana costs 1 rupee, 20 peaches costs 1 rupee
.
So how many mangoes will you buy? Note:
You are asked to buy all the fruits (not just buying only 1 type of fruit).
The answer is 19.
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1 solution
no of fruits x+y+z=100
money 5x+y+z/20=100
substracting 4x-19/20z=0 =>80x=19z
least integer for x is 19, z=80,y=1