If the adjacent sides of a rectangle are increased by \(35\%\) and \(20\%\), respectively, then by what percent will its area increase?

What smallest number should be subtracted from 81025 to get a perfect square number?

In an election between two candidates, \(12\%\) votes did not cast their vote. \(\left(\dfrac{1}{6}\right)^{\text{th}}\) of the votes casted were found to be invalid. The winner obtained \(55\%\) of the valid votes and won the election by 36542 votes. Find the total number of vot…

Simplify: \(15+60\div15\times2-1\)

Find the LCM of the numbers: \(\dfrac{4}{9},\ \dfrac{8}{15},\ \dfrac{6}{9},\ \dfrac{12}{21},\ \dfrac{14}{33}\)

Two years ago, the ages of Rekha and Shruti were in the ratio \(2:3\). Three years hence, the ratio will become \(3:4\). How old will Shruti be after 8 years from now?

The LCM of two numbers is 15 times their HCF. If the sum of their LCM and HCF is 160 and one of the numbers is 50, then what is the other number?

Aditya and Bipin entered into a partnership by investing ₹ 40,000 and ₹ 50,000, respectively. After 4 months, Aditya made additional investment equal to \(\left(\dfrac{1}{4}\right)^{\text{th}}\) of his investment and Bipin withdrew \(\left(\dfrac{1}{5}\right)^{\text{th}}\) of his…

On simple interest a certain sum amounts to ₹ 14061 in 6 years and to ₹ 16023 in 8 years on the same rate of interest. The rate of interest per annum is: