A Free Gift
Number Theory
Level
3
A supermarket made an offer that for every 4 pieces of soap there is another piece as a free gift ... A man paid the price of 64 pieces , What is the number of pieces of soap that he will take as a gift ?
The answer is 21.
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The question doesn't say that he has to buy 4 pieces to get 1 free. So, when he pays for 64 pieces, he gets 16 more free. Now for these 16 more pieces, he further gets 4 more free. Finally, for these 4 , he gets 1 more piece free.
Total number of free gifts: 1 6 + 4 + 1 = 2 1 pieces