business mathematics

RATIO AND PROPORTION practice problems:

For RATIO AND PROPORTION concept click: http://business-maths.blogspot.com/2008/11/ratio-and-proportions.html

For RATIO AND PROPORTION solved problems click: http://business-maths.blogspot.com/2008/11/ratio-and-proportions-problems.html

Practice problems:
1.If a:b=3:7,find the value of (5a+b):(4a+5b)
a)15:44 b)22:35 c)15:49 d)22:47

2.The ratio between two number is 3:5 and their is 40.Find the larger of two numbers
a)15 b)20 c)25 d)40

3.A bag contains one rupee,50 paise and 25 paise coins in the ratio 1:2:4.If the
total amount is Rs 75,then find the number of 50 paise coins in the bag
a)25 b)50 c)75 d)100

4.If (x+4):(3x+15) is the triplicate of 2:3.Find the value of x
a)1 b)3 c)4 d)none of these

5.If a is 75% of b,b is 150% of c and d is 25% of c,then find a:d
a)9:1 b)9:2 c)8:3 d)8:1

6.The present ages of two persons are in the ratio 7:8.Twenty years ago the ratio of
their ages was 9:11.Find the present age of the older son
a)64 years b)72 years c)56 years d)40 years

7.Find x:y:z,if 2x+y-5z = 0 and 3x-2y-4z=0
a)1:2:1 b)1:1:1 c)1:1:2 d)2:1:1

8.A certain sum is divided among A,B and C in a manner that for every rupee that A
gets,B gets 75 paise and for every rupee that B gets,C gets 50 paisee.If B's share
in the total sum is Rs 840.Find the share of A
a)Rs 2380 b)Rs 2240 c)Rs 1750 d)Rs 1120

9.Seventy eight is divided into two parts such that five times the first part and four times the second part are in the ratio 15:14.Find the first part
a)32 b)36 c)42 d)46

10.A certain amount of money is divided among A,B and C such that A gets half of what B and C gets together.B gets one third of what A and C together get.If A got Rs 500 more than B,then how much money was divided?
a)Rs4500 b)Rs 6000 c)Rs 8000 d)none of these

11.In a school there are 650 students.The ratio of the boys to that of the girls is 8:5. How many more girls should join the school so that the ratio becomes 4:3?
a)25 b)50 c)100 d)200

12.A variable x varies directly as the cube of another variable y.if x=4,y=2,then find y when x = 32
a)4 b)8 c)16 d)32

13.What should be subtracted from both the numbers which are in the ratio 3:4 so that the ratio becomes 2:3
a)4 b)6 c)10 d)cannot be determined

14.A varies directly as the sum of the quantities B and C.B in turn varies directly as x and C varies inversely as x.When x=2,A = 6 and when x=4,A=9.Find the value of A when the value of x=16
a)2 1/2 b)1 c)8 1/2 d)32 1/4

15.The volume of a sphere varies directly as the cube of its radius.If three cubes of radii 3 cm,4 cm and 5 cm are melted and recast into one sphere,then find the radius of the sphere
a)5.5 cm b)6 cm c)7 cm d)7.5 cm

16. 15 liters of mixture contains 20% alcohol and the rest water.If 3 liters of water be mixed with it,the percentage of alcohol in the new mixture would be
a)15 b)16 2/3 c)17 d)none of these

17.20 liters of mixture contains milk and water in the ratio 5:3.If 4 liters of this mixture be replaced by 4 liters of milk,the ratio of milk to water in the new mixture would be
a)2:1 b)7:3 c)8:3 d)4:3

18.85 kg of a mixture contains milk and water in the ratio 27:7.How much more water is to be added to get a new mixture containing milk and water in the ratio 3:1?
a)5kg b)6.5kg c)7.25kg d)8kg

19.The ages of A and B are in the ratio 3:1.Fifteen years hence,the ratio will be 2:1.Their present ages are
a)30,10 b)45,15 c)21,7 d)60,20

20.The average age of three boys is 25 years and their ages are in the proportion 3:5:7.The age of the youngest boy is
a)21 b)18 c)15 d)9