For the following questions answer them individually
Length and breadth of rectangular field are in the ratio 5 : 2. If the perimeter of the field is 238 m. Find the length of the field.
A man divided his journey into three parts of distances of 18 km, 20 km and 27 km. He travelled the distances at the speeds of 6 km/h, 5 km/h and 9 kn/h,respectively. What was his average speed during the entire journey?
The given graph represents the percentage distribution of the total expenditure of a company. Study the graph and answer the question that follows.
What is the ratio of the total expenditure on ‘Infrastructure’ and 'Transport' to the total expenditure on 'Taxes' and ‘Interest on Loans'?
In the given figure, O is the centre of the circle. Its two chords AB and CD intersect each other at the point P within the circle. If AB = 15 cm, PB = 9 cm, CP = 3 cm, then find the length of PD.
On selling a bike for $$₹2500$$ a seller incurs a loss of 20%. What price would have caused him to lose 30%?
If x + y + z = 10, $$x^3 + y^3 + z^3 = 75$$ and xyz = 15, then find the value of. $$x^2 + y^2 + z^2 - xy - yz - zx$$
Mohan offers to sell his articles at a discount of 20%, but he marks his articles by increasing the price of each by 35%. What percentage would his gain be?
Find the value of $$\frac{\tan 60^\circ - \tan 15^\circ}{1 + \tan 60^\circ \tan 15^\circ}$$