For the following questions answer them individually
The expenses of a family on rice, vegetables and cooking oil are in the ratio 9 : 11 : 5. If the prices of these items increases by 10%, 20% and 30%, respectively, then the total expenses of the family on these items will increase by:
A library has an average of 330 visitors on Sundays and 240 on the other days. Find the average of the number of visitors per day in a month of 30 days, beginning with a Saturday.
If x + y + z = 0, then find the value of $$\frac{x^{2}}{x^{2}-yz} + \frac{y^{2}}{y^{2}-zx} + \frac{z^{2}}{2^{2}-xy}$$
The pie-chart below represents the number of hours as percent of 24 hours of a day, spent on different activities by a student, Study the pie chart and answer the question that follows.
If the pie-chart is a visual representation of the number of hours spent on different activities by a student during a day, then the student spends the maximum number of hours in a day:
If $$r + \frac{1}{r} = 11$$, then the value of $$\frac{r^{3}+\frac{1}{r}}{r^{2}-r+1}$$ is ________.
Three smaller cubes with sides of 3, 4, and 5 cm are melted together to form a large cube. What is the ratio of the smaller cubes' total surface area to the larger cube's total surface area?
Rajesh purchased a machine for ₹5,000 and paid ₹250 for its transportation. If he sells the machine for ₹5,075, what is his percentage profit or loss? (Correct to two decimal places)
The effective annual rate of interest, corresponding to a nominal rate of 6% per annum, compounded half-yearly, is: