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Q.

Each packet of washing powder carries a token and four tokens can be exchanged for a free packet. How many free packets will I receive if I buy 64 packets ?


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a

  24

b

  12

c

  18

d

  21 

answer is D.

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Detailed Solution

  Concep- By dividing the total number of packets by the total tokens offering free packets, we can get the total number of free packets. Each free packet also includes a token, and accumulating them guarantees receiving further free packets. By adding up all the free packets, the total number is determined.
Given information:
1 packet of washing powder = 1 token
1 free packet of washing powder = 4 tokens
Number of packets bought = 64
Now,
The number of free packets n f 1   when 64 packet are bought is given by its division with number of tokens providing free packets which is given as:
  n f 1 =16     . With 64 packets, there are 16 free packets total.
These 16 packets came with 16 tokens, making the total amount of free packets from this: n f 2 = 16 4  
      = 4
  With 16 packets, there are 4 free packets total.
The total amount of free packets acquired by doing this is 4 plus the additional 4 tokens that come wit n f 1 = 64 4  h it. n f 3 = 4 4  
n f 3 =1  
 One free packet comes with four packets.
There are no more free packets as just one token is received.
The entire amount obtained free packages are: n f = n f 1 + n f 2 + n f 3  
When we replace the computed values, we obtain: n f =16+4+1  
n f =21  
Consequently, if I purchase 64 packets of washing powder, I will receive 21 packets for free.
Hence, the correct answer is option 4.
 
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