Assuming that the facts set out in the passage remain the same, what is the minimum opening stock required, such that Mr. Khatri has no books left to sell at the end of the transactions described in the passage?
Answers
Given : A passage having information about mr khatri stick and selling of books at different times
To find : minimum opening stock required, so that no stock left at the end of the transactions described in the passage
Step-by-step explanation:
Opening Stock = x
Doubled the opening stock => 2x
Sold in First sale = y
Remaining Books = 2x - y
Now Stock = 3(2x - y) = 6x - 3y
Sold now = 2y
Remaining books = 6x - 3y - 2y
= 6x - 5y
Now Stock = 4(6x - 5y) = 24x - 20y
Sold now = 2 (2y) = 4y
Remaining books = 24x - 20y - 4y
= 24x - 24y
new Stock = 5( 24x - 24y) = 120x - 120y
Sold now = 2(4y) = 8y
remaining books = 0
=> 120x - 120y = 8y
=> 120x = 128 y
=> 15x = 16y
15 & 16 are co prime hence
hence minimum = x = 16 & y = 15
Lets check
16
2 * 16 = 32
32 - 15 = 17
3 * 17 = 51
51 - 2 * 15 = 21
21 * 4 = 84
84 - 4*15 = 24
24 * 5 = 120
120 - 8*15 = 0
the minimum opening stock required, = 16 Books
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Answer:
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Step-by-step explanation:
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