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 investment. The share of Aditya in the profit of ₹ 16,200 at the end of the year is:

4 men can do a work in 5 days and 5 women can do it in 6 days. How many women should work with 2 men to complete the work in 5 days?

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?

Four men can do \(60\%\) of a work in 6 days, whereas 6 women can do \(50\%\) of the same work in 5 days. How many days will 2 men and 3 women take to do the work if they work together?

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

The average weight of 11 persons in a group of 12 persons is 64 kg. The weight of the 12th person is 22 kg more than the average weight of all the 12 persons. The weight of the 12th person (in kg) is:

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

In a class, there are 40 students. Their average marks in a test are 33. If the average marks of the boys are 30 and that of the girls are 35, then what is the number of boys in the class?

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