R. S. Aggarwal Solutions for Chapter: Percentage, Exercise 2: EXERCISE 10B

In an election between two candidates, $75\%$ of the voters cast their votes, out of which $2\%$ were declared invalid. A candidate got $9261$ votes, which were $75\%$ of the total valid votes. How many voters were enrolled in that election?

In an election between two candidates, $20\%$ of the votes polled were invalid and there were $7500$ votes in all. One candidate got $55\%$ of the total valid votes. How many valid votes did the other candidate get?

$10\%$ of the electorate did not cast their votes in an election between two candidates. $10\%$ of the votes polled were found invalid. The successful candidate got $54\%$ of the valid votes and won by a majority of $1620$ votes. How many voters were enrolled in the voters' list?

A cloth merchant professes to sell cloth at $4\%$ loss. But, using a false metre he gains $20\%$. What is the actual length of the metre used by him ?

A man had a certain sum of money. He gave $20\%$ of it to his eldest son, $30 \%$ of the remaining to his younger son and $10\%$ of the remaining he donated to a school. If the man still had $₹40320$, find his total sum.

A papaya tree was planted $2$ years ago. It increases at the rate of $20\%$ per annum. If at present, the height of the tree is $540 \mathrm{cm}$, what was the height of the tree, when the tree was planted?

The population of a town increases by $12\%$ during first year and decreases by $10\%$ during second year. If the present population is $50400$, what was it $2$ years ago ?

The tax on an article decreases by $10\%$ and its consumption increases by $10\%$. Find the effect per cent on its revenue.