Sanjay Kumar Datta

At the end of 2016, a shepherd bought 9 dozen goats. Thereafter, 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 the shepherd had 9 dozen goats at the end of the year 2020 after making the sales for the year, which of the following is correct?

In 2010, a library contained a total of 11500 books in two categories - fiction and non-fiction. In 2015, the library contained a total of 12760 books in these two categories. During this period, there was 6% increase in the fiction category while there was 12% increase in the non-fiction category. How many fiction books were in the library in 2015?

A tennis coach did not have space in his bag for 8 of his tennis balls. He, therefore, chose a different bag which was 50% bigger and this gave him space for 12 more balls than he had. How many balls did he have?