RATIO PROPORTION
1) If a: b is 3: 4 and b: c is 2: 5. Find a: b: c.
a) 3: 2: 5
b) 3: 6: 5
c) 3: 4:10
d) 2: 3: 4
Answer: c) 3:4:10
2) If a: b = 3:4, b:c = 7:9, c:d = 5:7, find a:d?
a) 5:12
b) 7:12
c) 3:11
d) 5:11
Answer: a) 5:12
3) If 3A = 4B = 5C, then A:B:C is
a) 16:20:18
b) 15:20:16
c) 20:15:12
d) 20:18:13
Answer: c) 20:15:12
4) If A : B = ½ : 3/8 , B : C = 1/3 : 5/9 and C:D = 5/6 : 3/4 , then the ratio
A : B : C : D is :
a)4 : 6 : 8 : 10
b) 6 : 4 : 8 : 10
c) 6 :8 : 10 : 9
d) 8 : 6 : 10 :9
Answer: d) 8 : 6 : 10 : 9
5) If Rs.782 be divided into three parts, proportional to 1/2 :2/3 :3/4 ,
then the first part is:
a) Rs.182
b) Rs.190
c) Rs.196
d) Rs.204
Answer: d) Rs.204
6) Divide 1540 chocolate to A, B, and C in the ratio of 25:15:10.
a) 740, 500, 300
b) 770, 462, 308
c) 800, 440, 300
d) 940, 400, 200
Answer: b) 770,462,308
7) A: B: C is in the ratio of 3: 2: 5. How much money will C get out of
Rs.1260?
a) 252
b) 125
c) 503
d) 630
Answer: d) 630
8) In a certain school, the ratio of boys to girls is 7 : 5. If there are 2400
students in the school, then how many girls are there?
a) 500
b) 700
c) 800
d) 1000
Answer: d) 1000
9) If Rs.1050 is divided into three parts, proportional to (1 / 3) : (3 / 4) :
(4 / 6), then what is the first part?
a) 500
b) 300
c) 200
d) 100
Answer: c) 200
10) If four people L, B, Y, M are getting salary in ratio of 6: 4: 8 : 2 and Y
is getting 1500 more than the M, then find out the salary of B?
a) 2000
b) 1000
c) 1200
d) 1500
Answer: b) 1000
11) Two numbers are in the ratio 3 : 7. If 6 be added to each of them,
then they are in the ratio 5 : 9. Find the numbers ?
a) 11 & 17
b) 7 & 17
c) 9 & 21
d) 13 & 23
Answer: c) 9 & 21
12) Two numbers are in the ratio 3:5. If 5 is subtracted from each, the
new numbers are in the ratio 4:10. Find the smaller number.
a) 12
b) 6
c) 9
d) 3
Answer: c) 9
13) Salaries of Ram and Sham are in the ratio of 4 : 5. If the salary of
each is increased by Rs. 5000, then the new ratio becomes 50 : 60.
What is Sham's present salary?
a) Rs.20,000
b) Rs.25,000
c) Rs.30,000
d) Rs.35,000
Answer: c) Rs.30,000
14) The ratio between the price of a bike and a television is 5:1. If the
bike costs Rs.50,000 more than the television, find the price of the
television?
a) Rs.10000
b) Rs.12000
c) Rs.12500
d) Rs.13000
Answer: c) Rs.12500
15) The incomes of two persons A and B are in the ratio 3 : 4. If each
saves Rs.100 per month, the ratio of their expenditures is Rs. 1 : 2. Find
their incomes.
a) Rs.100 and Rs.150
b) Rs.150 and Rs.200
c) Rs.200 and Rs.250
d) Rs.250 and Rs.300
Answer: b) Rs.150 and Rs.200
16) The ratio of the incomes of Chetan and Dinesh is 3:4. The ratio of
their expenditures is 5:7. If each of them saves Rs.200, find the incomes
of both?
a) Rs.600, Rs.800
b) Rs.1200, Rs.1600
c) Rs.1500, Rs.2000
d) Rs.1800, Rs.2400
Answer: b) Rs.1200, Rs.1600
17) A bag contains one rupee 50 paise and 25 paise coins in the ratio
5:6:8. If the total amount is Rs.420, find the total number of coins in
each type
a) 210, 252, 336
b) 250, 120, 80
c) 210, 245, 400
d) 200, 350, 450
Answer: a) 210, 252, 336
18) A bag contains 50 paise,1 rupee and 2-rupee coins in the ratio 2: 3:
4. If the total amount is Rs 240. What will be the total number of 50p
coins?
a) 90
b) 16
c) 40
d) 25
Answer: c) 40
19) A purse contains 342 coins consisting of one rupees, 50 paise and
25 paise coins. If their values are in the ratio of 11 : 9 : 5 then find the
number of 50 paise coins?
a) 180
b) 150
c) 162
d) 99
Answer: c) 162
20) In a mixture of 13 litres, the ratio of milk and water is 3 : 2. If 3 liters
of this mixture is replaced by 3 liters of milk, then what will be the ratio
of milk and water in the newly formed mixture?
a) 10 : 3
b) 8 : 5
c) 9 : 4
d) 1 : 1
Answer: c) 9:4
21) A mixture contains alcohol and water in the ratio of 7 : 5. If 8 liters
of water is added to the mixture, then the ratio becomes 7 : 9. Find the
quantity of alcohol in the given mixture?
a) 15 litres
b) 14 litres
c) 19 litres
d) 21 litres
Answer: b) 14 litres
22) 20 litres of mixture contains 3:2 ratio of milk and water. Calculate
the quantity of water to be added to get the ratio as 1:3.
a) 36
b) 12
c) 28
d) 8
Answer: c) 28
23) Vessels A and B contain mixtures of milk and water in the ratios 4:
5and 5: 1respectively. In what ratio should quantities of the mixture be
taken from A and B to form a mixture in which milk to water is in the
ratio 5: 4?
a) 2: 5
b) 4: 3
c) 5: 2
d) 2: 3
Answer: c) 5:2
Proportion:
a : b :: c :d
Product of extreme = Product of mean
ad = bc
i) Mean Proportional of a, b =
ii) Third Proportional of a, b, c = a:b::b:c
ac = b^2 c = b^2/a
iii) Fourth Proportional of a, b, c, d = a:b::c:d
ad = bc d = bc/a
24) Find the fourth proportional to 2.4, 4.6 and 7.6?
a) 14
b) 14.657
c) 15.56
d) 14.56
Answer: d) 14.56
25) Find the fourth proportional to 4,9,12
a) 27
b) 32
c) 20
d) 35
Answer: a) 27
26) Find the third proportional to 16 and 36.
a) 45
b) 81
c) 40
d) 76
Answer: b) 81
27) Find the mean proportional of 64 and 81
a) 80
b) 85
c) 72
d) 70
Answer: c) 72
28) The ratio of third proportional to 12 and 30 and the mean
proportional between 9 and 25 is
a) 2:1
b) 5:1
c) 7:15
d) 3:16
Answer: b) 5:1
29) The third proportional to (x2-y2) and (x-y) is:
a) x/y
b) x+y/y
c) x-y/x+y
d) x+y/x-y
Answer: c) x-y/x+y
30) The value of ‘K’ that must be added to 7, 16,43,79 so that they are
in proportion, is
a) 7
b) 5
c) 9
d) 6
Answer: b) 5
