For the following questions answer them individually
What is the value of $$\frac{\frac{5}{6}-\frac{5}{11}of\left[\frac{3}{7}+\frac{8}{12}\div\frac{6}{24}+\frac{5}{7}\right]}{\frac{3}{12}\times\ \frac{6}{5}}$$?
The following table shows the number of trains that originate in the five different zones of the railway network of a country.
The total number of trains that originate in Z3 and Z4 taken together is what percentage of the total number of trains that originate in all the 5 zones taken together? [Give your answer correct to 2 decimal places.]
The following pie chart shows the expenditure of a village in a given year in the different sectors of its economy.
If the amount spent on agriculture was ₹8.5 crore, then find the amount spent in the IT sector.
A sum of ₹3,400 is divided among P and Q in such a way that $$\frac{3}{4}$$ of P's share is equal to $$\frac{2}{3}$$ of Q's share. What is the positive difference between the shares of P and Q?
The profit earned on selling a book for ₹450 is the same as the loss incurred on selling it for ₹390. Find the cost price of the book.
The length, breadth, and height of a closed cardboard box are in the ratio of 5 : 3 : 7 respectively. Find the length of this box, if its total surface area is 1278 $$cm^{2}$$.
If a sum of money amounts to 6 times of itself in 25 years at simple interest, then what is the rate of interest per annum?
Train A crosses train B completely in 90 seconds, with the trains running in opposite directions. The lengths of trains A and B are 900 metres and 1800 metres respectively. If the speed of train A is 45 km/h, then in how much time can train B cross a stationary pole? (in seconds)
Find the respective ratio of the simple interest and the compound interest on ₹100 at 10% per annum for 2 years. when compound interest is compounded annually.