For the following questions answer them individually
Prem can do a piece of work in 112 days. Ben can do this work in 90 days. Prem started the work alone. After how many days should Ben join him, so that the total work is finished in 56 days?
The difference between the selling prices of an article available in two schemes of successive discounts 25% followed by 30%, and 25% followed by 20% is ₹75. Find the marked price of the article (in ₹).
Ajay can do a piece of work in 20 days and Vijay can do the same work in 22 days. In how many days they will complete the work together if they work on alternate days and the work is started by Vijay?
Find the value of $$\frac{(0.0002)^{2} + (0.0033)^{2} + (0.0444)^{2}}{(0.00002)^{2} + (0.00033)^{2} + (0.00444)^{2}}$$.
A faulty machine weighs 900 g as 1000 g. A shopkeeper uses this weighing machine to sell 45 kg of rice at Rs.65 per kg which he bought at Rs.58 per kg. His overall profit percentage is approximately equal to:
The value of a machine in a company depreciates by 10% every year. Determine the value (in Rs.) of the machine after 2 years if the current value is Rs.2 lakh.
There are four sections: A, B, C and D of class X in a school. In every section, there are 30 students. The average score in maths of the four sections is 89.8, 92.6, 99.1 and 94.5, respectively. What is the average score in maths of the whole class X in that school?
R runs for 10 hours at speeds of 10 km/h, 9 km/h, …,1 km/h, respectively, in the first hour, second hour, and so on. His average speed is __________ km/h.