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Problems on Ratio and Proportions
Posted Date: 29 Feb 2008 Resource Type: Articles/Knowledge Sharing Category: Placement Papers
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Posted By: Deepu Member Level: Diamond
Rating:  Points: 5
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RATIO AND PROPORTION
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 subracted 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 shere 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
Directions for question 16 to 18:These questions are based on the data given below
There are two colleges in the town-college A and college B.There are 500 students more in
college A than in college B.The ratio of the boys to that of the girls in college A is 3:2
and that in college B is 4:1.The ratios of the number of science,humanities and commerce
students in college A and college B are respectively 2:5:3 and 2:3:3.The number of commerce
students in both the colleges is the same.
16.How many students are there in college A?
a)2000 b)2500 c)3000 d)3500
17.How many girls are there in two colleges together?
a)1400 b)1600 c)1700 d)2000
18.How many more/less humanities students are there in college A than in college B?
a)400 more b)400 less c)500 less d)500 more
19.If (2x+5):(7x-6) is the duplicate ratio of 5:8,then find the value of x
a)6 b)7 c)10 d)none of these
20.The mean proportional between two numbers is 16 and their third proportional is 128.Find the
smaller of the two numbers
a)8 b)12 c)16 d)32
21.A bag contains 50 p,25 p and 10 p coins in the ratio 5:9:4,amounting to Rs 206.Find the
number of coins of each type
a)200,360,160 b)160,360,200 c)360,373,123 d)678,234,763
22.what is the ratio whose terms differ by 40 and the measure of which is 2/7?
a)16:56 b)14:56 c)15:56 d)16:72
23.A sum of Rs 53 is divided among A,B,C in such a way that A gets Rs 7 more than what B gets
and B gets Rs 8 more than what C gets.The ratio of their shares is
a)16:9:18 b)25:18:10 c)18:25:10 d)15:8:30
24.A certain amount was divided between A and B in the ratio 4:3.If B's share was Rs 4800,the
total amount was
a)Rs 11,200 b)Rs 6,400 c)Rs 19,200 d)Rs 39,200
25.If 10% of x = 20% of y,then x:y is equal to
a)1:2 b)2:1 c)5:1 d)10:1
26.x varies inversely as square of y.Given that y=2 for x=1.The value of x for y=6 will be
equal to
a)3 b)9 c)1/3 d)1/9
27.The ratio of incomes of A and B is 5:4 and the ratio of their expenditures is 3:2.If at
the end of the year,each saves Rs 1600,then income of A is
a)Rs 3400 b)Rs 3600 c)Rs 4000 d)Rs 4400
28.Three containers have their volumes in the ratio 3:4:5.They are full of mixtures of milk
and water.The mixtures contain milk and water in the ratio of (4:1),(3:1) and (5:2) resp.
The contents of all these three containers are poured into a fourth container.The ratio
of milk and water in the fourth container is
a)4:1 b)151:48 c)157:53 d)5:2
29.In a school,10% of the boys are same in number as 1/4rth of the girls.What is the ratio of
boys to girls in that school?
a)3:2 b)5:2 c)2:1 d)4:3
30.The ratio of number of boys and girls in a school is 3:2.If 20% of the boys and 25% of the
girls are scholarship holders,what percentage of the students does not get the scholarship?
a)56 b)70 c)78 d)80
31.The sides of a triangle are in the ratio 1/2:1/3:1/4 and its perimeter is 104 cm.The length
of the longest side is
a)52 cm b)48 cm c)32cm d)26cm
32.which of the following ratios is greatest?
a)7:15 b)15:23 c)17:25 d)21:29
33.In a college the ratio of number of girls to boys is 8:5.If there are 160 girls,the total
number of students in the college is
a)100 b)250 c)260 d)416
34.The least whole number which when subracted from both the terms of the ratio 6:7 gives
a ratio less than 16:21 is
a)2 b)3 c)4 d)6
35.The speeds of three cars are in the ratio 5:4:6.The ratio between the time taken by them
to travel the same distance is
a)5:4:6 b)6:4:5 c)10:12:15 d)12:15:10
36.15 litres of mixture contains 20% alcohol and the rest water.If 3 litres 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
37.20 litres of mixture contains milk and water in the ratio 5:3.If 4 litres of this mixture
be replaced by 4 litres 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
38.85 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
39.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
40.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
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