Question

A Shepherd had n goats in the year $2000$. In $2001$ the no.of goats increased by $40\%$ . In $2002$ the no. of goats declined to $70\%$. In $2003$ the no. of goats grew by $30\%$. In $2004$, he sold $10\%$ goats, then he had only $34,398$ goats. Find the percentage increase of the no.of goats in this duration?

Answer 1

There is no need to use the no of goats i.e (34,398).

let initially there be $1000$ goats then 1000 -----> 1400 -----> 980 -----> 1274 ----->1146.6 Thus the % increase$=\frac{(1146.6-1000)}{100}\times 100=14.66\%$