Question
The cost of 4 chairs and 3 tables is ₹2,100 and the
cost of 5 chairs and 2 tables is ₹1,750. Find the cost (in ₹) of a chair.Solution
Let x denote the cost of a chair and y denote the cost of a table. 4x + 3y = 2100... (1) and 5x + 2y = 1750...(2) On multiplying equation (1) by 2 and equation (2) by 3 to make the coefficients of y equal, we get. = 8x + 6y = 4200.... (3) = 15x+6y = 5250... (4) On subtracting equation (3) from (4), we get. 7x = 1050 x = 150
Find the circumference and area of a circle of radius 7 cm. Take π = 22/7.
The base of the triangular area is two times its height. If the cost of farming area is Rs. 2000 and Rs. 80 per hectare. Find its base (1 hectare = ...
The breadth of a rectangle is increased by 9 cm, it will become twice the length of the rectangle. If the new perimeter is 294 cm, then find the origina...
Two wires A and B are made of the same material and have the same length but different cross-sectional areas. If the resistance of wire A is 9 times the...
The cost of fencing a rectangular field at the rate of Rs. 5/metre is Rs. 350. If the length of the field is 11 metres more than its breadth, then find ...
In a rectangular floor of length and breadth of 19 metres and 6 metres, respectively, square tiles each of 2 metre edge length are to be laid. If the co...
The perimeter of an equilateral triangle is 36√3 cm. Find its height.
The volume of a cuboid is 480 cubic cm. If its length is 10 cm and breadth is 8 cm, find its height.
Find the length of a wire radius 0.40 cm which can completely cover the surface of a cylinder whose height is 1.6m and base radius 21 cm?
A wire, when bent in the form of a square encloses an area of 121 sq. cm. If the same wire is bent in the form of a circle, what is the area enclosed by...
