Quantitative Aptitude Ques 1435

Question: A shepherd had n goats in the year 2000. In 2001, the number of goats increased by 40%. In 2002 the number of goats declined to 70%. In 2003, the number of goats grew by 30%. In 2004, he sold 10% goats, then he had only 34398 goats. The percentage increase of the number of goats in this duration was

Options:

A) 14.66%

B) 16.66%

C) 20%

D) 33.33%

Show Answer

Answer:

Correct Answer: A

Solution:

  • There is no need to use the number of goats, i.e. (34398) Let initially there be 1000 goats, then $ 1000\to 1400\to 980\to 1274\to 1146.6 $ Thus, % increase $ =\frac{1146.6-1000}{1000}\times 100=14.66% $
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