RATIO & PROPORTION
1. If a : b : c = 7 : 3 : 5, then (a + b+
c) : (2a + b - c) is equal to :
(A) 1 : 2 (B)2 : 3 (C) 3 : 4 (D)5
: 4 (E) None of these
2. If (a + b) : (a – b) = 5 :3, then (a2
+ b2) : (a2 – b2) =
(A) 17 : 15 (B)25 : 9
(C) 4 : 1 (D)16 : 1 (E) None of these
3. If x : y = 5 : 2, then (8x + 7y) : (8x
+ 2y) is :
(A) 22 : 29 (B)27 : 22 (C)
29 : 22 (D)26 : 61 (E) None of these
4. If p : q = 3 : 4 and q : r = 8 : 9,
then p : r is equal to
(A) 1 : 3 (B)3 : 2 (C) 2 : 3 (D)1 : 2 (E) None of these
5. If x =
y and y =
z, then x : y : z
(A) 1 : 5 : 6 (B)1
: 5 : 6 (C) 1 : 3 : 6 (D)1 : 4 :
3 (E) None of these
6. If (4x2 – 3y2) :
(2x2 + 5y2) = 12 : 19, then x : y is :
(A) 2 : 3 (B)1 : 2 (C) 3 :
2 (D) 2 : 1 (E) None of these
7. A : B = ½ : ⅜ , B : C = ⅓ : 5/9 and C
: D = 5/6 : ¾ .Then the A : B : C : D is :
(A) 6 : 4 : 8 : 10 (B)6 : 8 : 9 : 10 (C) 8 : 6 : 10 : 9 (D)4
: 6 : 8 : 10 (E) None of these
8. If
of A = 75% of B = 0.6 of C, then A : B : C is
equal to
(A) 9 : 8 : 10 (B)8 : 9 : 10 (C) 3 : 4 : 5 (D)4 : 3 : 5
(E) None of these
9. The total number of employees in an
organization is 1782. If the number of females in the organization is 990, then
what is the respective ratio of the total number males to total number of
females in the organization?
(A) 4 : 5 (B)10
: 11 (C) 23 : 25 (D)58 : 65 (E) None of these
10.
If
Rs.782 be divided into three parts in proportional to ½ : ⅔ : ¾, then first
part is :
(A) Rs. 182 (B)Rs.
190 (C)
Rs. 196 (D)Rs. 204
(E)
None of these
11.
A’s
money is to B’s money as 4 : 5 and B’s money is to C’s money as 2 : 3. If A has
Rs. 800, then C has
(A) Rs. 1000 (B)Rs. 1200 (C) Rs. 1500 (D)Rs. 2000 (E) None of these
12.
Rs.
7740 is to be distributed among A, B and C in the ratio 7 : 5 : 8. Then the
difference between shares of B and C is
(A) Rs. 387 (B)Rs.
774 (C) Rs. 1021 (D)Rs. 1161 (E) None of these
13.
40%
of the number is equal to three-fourth of the another number. What is the ratio
of first number to second number?
(A) 15 : 16 (B)15 : 8 (C) 9 :
15 (D)8 : 17
(E) None of these
14. Rs.770 is divided among A, B and C such
that A receives 2/9th of what B and C together receive. Then A’s
share is
(A) Rs. 140 (B)Rs. 154 (C) Rs. 165 (D)Rs. 170 (E) None of these
15. A sum of money divided among P,Q and R
in ratio of 3 : 5 : 7. If Q’s share is Rs. 1500, then find the difference
between share of P and R.
(A) 1200 (B)2400 (C) Rs. 3300 (D)Rs. 2700
(E) None of these
16. A and B together have Rs. 1210. If
of A’s amount is equal to
of B’s amount, then how much amount does B
have?
(A) Rs. 460 (B)Rs.
484 (C) Rs. 550 (D)Rs. 664
(E) None of these
17. Marks obtained in Mathematics by
saurabh is three times the marks obtained in English by him and the ratio of
marks obtained in mathematics and history is 4 : 3. If sum of marks obtained in
all three subjects is 250, then marks obtained in English is
(A)120 (B)90
(C)80 (D)40
(E) None of these
18. 4 : 5 : 3 is the ratio of students in
three classes. If students in each class is increased by 15, then the ratio
will become 5 : 6 : 4. How many students are in the third class at starting ?
(A)15
(B)60
(C)45 (D)30
(E) None
of these
19. The respective ratio of pooja,
prarthana and Falguni’s monthly income is 53 : 70 : 57. If Prarthana’s annual
income is Rs. 420000, then what is the sum of pooja and Falguni’s annual income
?
(A)RS.592500 (B)Rs.683500 (C)Rs.660000 (D)Rs.779200 (E)None of these
20. An amount is distributed among Suman,
Aman and Gagan in the ratio 3 : 7 : 11. If 24% of share of Suman is Rs.1080,
then the difference between the shares of Aman and Gagan is
(A)Rs.5000 (B)Rs.6000
(C)Rs.2500 (D)Rs.4500 (E)None of these
21. The ratio of the number of students
studying in schools A, B and C is 5 : 8 : 4 respectively. If the number of
students studying in each school is increased by 20%, 25% and 30% respectively,
then what will be the new respective ratio of the students in schools A, B and C?
(A)13 : 25 : 15 (B)20 : 25 : 13 (C)15 : 25 13 (D)Can’t be determined (E)None of these
22. Divide Rs.1228 to Ram, Shyam and Mohan
in such a way that on decreasing the shares of each by Rs.4, Rs.8 and Rs.16,
the remaining amount are in ratio 1 : 2 : 3. How much money will Mohan get ?
(A)Rs.612 (B)Rs.712 (C)Rs.1232 (D)616
(E)None
of these
23. The ratio of two numbers is 2 : 3. If
each number is increased by 4, then ratio becomes 5 : 7. The difference between
the number is
(A)8
(B)6
(C)4
(D)2 (E) None of these
24. The ratio of managers to management
trainees is 3 : 5. When 21 new management trainees are recruited, the ratio
will become 3 : 8. How many managers will there be in the group?
(A)27
(B)24
(C)21 (D)35 (E)None of these
25. A mixture of 20 kg. Of spirit and
water contains 10% water. How much water must be added to this
mixture to raise the percentage of water
to 25% ?
(A)4 kg (B)5 kg
(C)8 kg (D)30 kg
(E) None of these
26. Three numbers are in the ratio 3 : 4 :
5. The sum of the largest and the smallest equals the sum of the second and 52.
The smallest number is :
(A)20 (B)27 (C)39 (D)52
(E)None of these
27. The ratio of the income to the
expenditure of a family is 10 : 7. If the family’s expense is Rs.10500, then
savings of the family is
(A)Rs.4500 (B)Rs.10000 (C)Rs.4000 (D)Rs.5000 (E) None of these
28. The ratio of weekly income of A and B
is 9 : 7 and the ratio of their expenditure is 4 : 3. If each saves Rs.200 per
week, then the sum of their weekly income is
(A)Rs.3600 (B)Rs.3200 (C)Rs.4800 (D)Rs.5600 (E)None of these
29. The sum of A’s income and B’s income
is Rs.33000. A expends 60% and B expends 75% of own incomes. If they save in
ratio of 4 : 3, then find B’s income
(A)Rs.9000 (B)Rs.18000 (C)Rs.12000 (D)Rs.16000 (E)None of these
30. There are coins of Rs.1, 50 paise and
25 paise in ratio of 4 : 3 : 8 in a box. If the value of box is Rs. 150, then
find the number of coins Rs.1
(A)80 (B)59
(C)40
(D)120
(E)None of these
31. A bag contains Rs.90 in coins of
denominations of 50 paise, 25 paise and 10 paise. If coins of 50 paise, 25
paise and 10 paise are in ratio 2 : 3 : 5, then the number of 25 paise coins in
the bag is
(A)80 (B)120
(C)100
(D)135
(E)None of these
32. A man divided Rs.9600 among his four
sons, three daughters and wife. Each daughter got twice the amount given to
each son. His wife got RS.300 less than amount given to each son. How much
total amount did all the three daughter get ?
(A)Rs.4500 (B)Rs.5400 (C)Rs.2700 (D)Rs.1800 (E)None of these
33. A man has divided his total money in
such a way that half of it goes to his wife,
rd
of the remaining among his three sons equally and the rest among his four
daughter equally. If each daughter gets Rs.20000,then how much money will each
son get?
(A)Rs.50333.33 (B)Rs.48233.33 (C)Rs.53333.33 (D)Can’t be determined (E)None of these
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