UPSSSC PET 2022 : MATHEMATICS (PERCENTAGE) QUIZ - 3

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Question 1:

Travelling with $66 \frac{2}{3}$% of the original speed a man reaches his destination 10 minutes late. What is his usual time taken of the journey?

Question 2:

$\frac{2}{5}$ of the voters promised to vote for $P$ and the rest promised to vote for $\mathrm{Q}$. Of these, on the last day, $15 \%$ of the voters went back on their promise to vote for $\mathrm{P}$ and $25 \%$ of the voters went back on their promise to vote for $Q$, and $P$ lost by 2 votes. Then the total number of voters is:

Question 3:

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 $10 \%$ increase in the fiction category while there was $12 \%$ increase in the nonfiction category. How many fiction books were in the library in 2015?

Question 4:

If the numerator of a fraction is increased by $200 \%$ and the denominator is increased by $300 \%$, the resultant fraction becomes $\frac{21}{92}$. What is the original fraction?

Question 5:

If the population of city A increases by $20 \%$ and then decreases by $24 \%$, it becomes equal to $16 \frac{1}{6} \%$ of city B's population. Find the population of city A initially, if B's population is 27,360 ?