CAT Quantitative Ability Questions | CAT Percentage, Profit & Loss questions
CAT/2003
Question . 70
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?
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Explanatory Answer
Method of solving this CAT Quantitative Ability Question from Percentage, Profit & Loss question
(c) Shephard adds p % of 108 goats every year and sells q % of (108 + p/100 × 108).
It is observed that the goats sold is a percentage of a higher quantity as compared to the goats added.
Hence, if he has 108 goats left, it means he should have added more (higher percentage of small quantity) than he sold. Hence, p > q.