Two numbers are more than the third number by $20 \%$ and $80 \%$ respectively. The first number is what percent of the second number?

The value of a machine depreciates at the rate of $10 \%$ every year. It was purchased $3$ years ago. If its present value is $₹ 8748$,what was its purchase price?

In an election,there were only two candidates. One of the candidates secured $40\%$ of the votes and was defeated by the other candidate by $298$ votes. The total number of votes polled is:

Sashi has $Rs. 90000$ with him. He purchases a mobile,an iPad,and a laptop for $Rs. 15000$,$Rs. 13000$,and $Rs. 35000$ respectively and puts the remaining money in his bank account which pays $15 \%$ per annum compound interest. After $2$ years,he sells off the three items at $80 \%$ of their original price and also withdraws his entire money from the bank by closing the account. What is the total percentage change in his assets (in $\%$)?

If the numerator of a fraction is increased by $150 \%$ and the denominator of the fraction is increased by $300 \%$,the resultant fraction is $\frac{5}{18}$. What is the original fraction?

The population of a city increases at the rate of $10 \%$ annually. Its present population is $90.51$ lacs. The population $3$ years ago was nearly: