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# The cost of sending a package is T cents for the first 1/4

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The cost of sending a package is T cents for the first 1/4 [#permalink]  09 Nov 2008, 12:09
The cost of sending a package is T cents for the first 1/4 kilogram and T/5 cents for each 1/4 kilogram or fraction there of. What is the cost in cents, to send a P kilogram package at this rate where P is an integer grater than 1?
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Re: Sending a Package [#permalink]  09 Nov 2008, 12:55
stingraybullray wrote:
The cost of sending a package is T cents for the first 1/4 kilogram and T/5 cents for each 1/4 kilogram or fraction there of. What is the cost in cents, to send a P kilogram package at this rate where P is an integer grater than 1?

= T + (P - 1/4) (T/5)/(1/4)
= T + {(4P-1)/4}(4T/5)
= T + (4P-1) (T/5)
= T {1 + (4P-1)/5}
= T (5 + 4P -1)/5
= T (4 + 4P)/5
= 4T (1 + P)/5

this doesnot cover the fraction in full if the fraction is smaller than 1/4.
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Re: Sending a Package   [#permalink] 09 Nov 2008, 12:55
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