For the following questions answer them individually
The pie-chart given below shows the monthly expenditures made by a family under different heads as percentages of the total monthly income of the family. If the total monthly income of the family is t70,000, then what is tl1e amount that is left with the family after only the food and medical expenditures for the month are made?
The speed of a boat is 12 km/h in still water. It goes 18 km downstream and comes back in a total time of $$6\frac{6}{7}$$ hours. Find the speed of the stream (in km/h).
The table below gives the numbers of three types of trees that were planted by government agencies in six consecutive years.
What was the percentage increase in the number of teak trees that were planted by these agencies in 201 7 compared to the number of teak trees that were planted by these agencies in 2016?
If $$\frac{x^{2}}{y^{2}}+\frac{y^{2}}{x^{2}}=7$$, A possible $$\frac{x^{3}}{y^{3}}+\frac{y^{3}}{x^{3}}$$ is:
After allowing 15% discount, a dealer wishes to sell a machine for ₹1,22,700. At what price must the machine be marked?
(Consider up to two decimals)
If $$\frac{8r}{r^{2}-8r+1} = \frac{1}{14}$$, then the value of $$\left(r+\frac{1}{r}\right)$$
The average weight of 15 athletes and three trainers is 60 kg. When four more athletes of average weight 63 kg are included in the group, what is the average weight (in kg, rounded off to the nearest integer) of the group?
If $$\left[3\frac{6}{7}\div\frac{54}{7}-\left\{3-\left(2\frac{3}{4}-\frac{3}{2}\right)\right\}\right]+A\div4=0$$, then the valu of A?
How many 25 cm $$\times$$ 11.25 cm $$\times$$ 6 cm bricks will be required to construct an 8 m $$\times$$ 6 m $$\times$$ 22.5 cm wall?(ignoring other material used)
If triangles ABC and PQR are both isosceles with AB=AC and PQ=PR, respectively. If also AB=PQ and BC=QR and angle $$B=50^{\circ}$$, then what is the measure of angle R?