In an election between two candidates, a candidate secured $41\%$ of the total votes and lost by $5364$ votes. Find the total number of votes polled.

Bhawna scored $40$ out of $60$ in Hindi, $60$ out of $80$ in English, $63$ out of $75$ in science and $49$ out of $50$ in mathematics. In which subject is Bhawna’s performance the best?

Bhawna scored $40$ out of $60$ in Hindi, $60$ out of $80$ in English, $63$ out of $75$ in science and $49$ out of $50$ in mathematics. If the aggregate percentage of marks is $k\%$, then, find the value of $k$.

Gun powder contains $75\%$ potassium nitrate and $15\%$ sulphur. Find the amount of gun powder which contains $5 \mathrm{kg}$ potassium nitrate. What amount of gun powder would contain $2.25 \mathrm{kg}$ sulphur?

A student secured $36\%$ marks and failed by $34$ marks. Another student secured $46\%$ marks and got $51$ more marks than the minimum marks required to pass. Find the maximum marks and the pass percentage of marks.

Last year mangoes were available at $₹60$ per dozen. This year, the same variety of mangoes is available for $₹120$ per score. Find the percentage increase or decrease in the price of mangoes. $(1 \mathrm{score}=20)$