Class 10th Math Chapter 3 Solutions

Important full class 10th math chapter 3 solutions in Mathematics Urdu Medium by Dear Respectable Sir M. Ramzan Suib. These computerized notes are very helpful in the preparation of class 10th math chapter 3 solutions for students of Mathematics and these are according to the paper patterns of all Punjab boards.

• Important class 10 maths chapter 3 solutions exercise 3.1 for all students of Punjab  Textbook Board.
• A relation between two quantities of the same kind is called ratio.
• A proportion is a statement, which is expressed as equivalence of two ratios. If two ratios a:b and c:d are equal, then we can write a:b=c:d
• Important class 10 maths chapter 3 solutions exercise 3.2 for all students of Punjab  Textbook Board.
• If two quantities are related in such a way that increase (decrease) in one quantity causes increase (decrease) in the other quantity is called direct variation.
• Important class 10 maths chapter 3 solutions exercise 3.3 for all students of Punjab  Textbook Board.
• If two quantities are related in such a way that when one quantity increases, the other decreases is called inverse variation.
• Theorem on proportions:  (1) Theorem of Invertendo If a:b=c:d, then b:a=d:c , (2) Theorem of Alternando If a:b=c:d, then ac=b::c=b:d 
• Important class 10 maths chapter 3 solutions exercise 3.4 for all students of Punjab  Textbook Board.
• (3) Theorem of Componendo If a :b = c : d , then (i) a + b : b = c + d : d and (ii) a : a + b = c : c + d
• (4) Theorem of Dividendo  If a : b = c : d, then (i) a - b : b = c - d : d (ii) a : a - b = c : c - d
• Important 10 class math exercise 3.1 solution for all students of Punjab  Textbook Board.
• (5) Theorem of Componendo - dividendo If a : b = c : d then, a + b : a - b = c + d : c - d  
• A combination of direct and Inverse variation of one or more than one variable forms joint variation. 
• Important 10 class math exercise 3.1 solution pdf for all students of Punjab  Textbook Board.
• 1. The surface area A of a cube varies directly as the square of the length l of an edge and A = 27 square units when I = 3 units. Find (i) A when l = 4 units (ii) l when A = 12 sq. units.
• Important 10 class math exercise 3.2 solution pdf for all students of Punjab  Textbook Board.
• 2. The surface area S of the sphere varies directly as the square of radius r, and S = 16π when r = 2. Find r when S = 36 π.
• 3. In Hook's law the force F applied to stretch a spring varies directly as the amount of elongation S and F = 32lb when S = 1.6 in. Find (i) S when F = 50 lb (ii) F when S = 0.8in.
• Important 10 class math exercise 3.3 solution for all students of Punjab  Textbook Board.
• 4. The intensity I of light from a given source varies inversely as the square of the distance d from it. If the intensity is 20 candlepower at a distance of 12ft. from the source, find the intensity at a point 8ft. from the source.
• Important 10 class math exercise 3.4 solution for all students of Punjab  Textbook Board.
• 5. The pressure P in a body of fluid varies directly as the depth d. If the pressure exerted on the bottom of a tank by a column of fluid 5ft. high is 2.25 lb/sq. in, how deep must the fluid be to exert a pressure of 9 lb/sq. in?
• Important 10 class math exercise 3.5 solution for all students of Punjab  Textbook Board.
• 6. Labour costs a varies jointly as the number of workers n and the average number of days d. If the cost of 800 workers for 13 days is Rs. 286000, then find the labour cost of 600 workers for 18 days.
• Important 10 class math exercise 3.6 solution for all students of Punjab  Textbook Board.
• 7. The supporting load c of a pillar varies as the fourth power of its diameter d and inversely as the square of its length 1. A pillar of diameter 6 inch and of height 30 feet will support a load of 63 tons. How high a 4 inch pillar must be to support a load of 28 tons?
• Important 10 class math exercise 3.7 solution for all students of Punjab  Textbook Board.
• 8. The time T required for an elevator to lift a weight varies jointly as the weight w and the lifting depth d varies inversely as the power p of the motor. If 25 sec. are required for a 4-hp motor to lift 500 lb through 40 ft, what power is required to lift 800 lb, through 120 ft in 40 sec.?