At the end of year 1998, Shepard bought nine dozen goats. Henceforth, every year he added p% of the goats at the beginning of the year and sold q% of the goats at the end of the year where p > 0 and q > 0. If Shepard had nine dozen goats at the end of year 2002, after making the sales for that year, which of the following is true?
Explanation:
Shepard bought 9 dozen goats at the end of 1998.
Consider that he added 1 dozen goats to it, i.e. 11.11% of 9 dozen.
And he sold 1 dozen to get back the same 9 dozen i.e. 10% of 10 dozen.
∴ He adds 11.11% and subtracts 10% to get the same amount every time.
∴ p = 11.11% and q = 10%
∴ p > q
Hence, option (c).
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