1.

  A and B together have Rs. 1210. If of A's amount is equal to of B's amount, how much amount does B have?
A. Rs. 460 B. Rs. 484
C. Rs. 550 D. Rs. 664

Answer: Option B

Explanation:

4 2
A= B
15 5
2 15
A= x
5 4
B
A = 3B
2
A 3
=
B 2

A : B = 3 : 2.

2
B's share = Rs. 1210 x = Rs. 484.

2. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
A. 2 : 5 B. 3 : 5
C. 4 : 5 D. 6 : 7

Answer: Option C

Explanation:

Let the third number be x.

120 6
Then, first number = 120% of x = x = x
100 5
150 3
Second number = 150% of x = x = x
100 2
6 3
Ratio of first two numbers = x : x = 12x : 15x = 4 : 5.
5 2

A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?

A. Rs. 500 B. Rs. 1500

C. Rs. 2000 D. None of these

Answer: Option C

Explanation:

Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.

Then, 4x - 3x = 1000

x = 1000.

B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What
will be the ratio of increased seats?
A. 2 : 3 : 4 B. 6 : 7 : 8
C. 6 : 8 : 9 D. None of these

Answer: Option A

Explanation:

Originally, let the number of seats for Mathematics, Physics and Biology be 5x, 7x and 8x respectively.

Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x).

140 150 175

x x x
, and
100 5x 100 7x 100 8x
21
7x, x and 14x.
2
21
The required ratio = 7x : x :
14x
2

14x : 21x : 28x

2 : 3 : 4.

5. In a mixture 60 litres, the ratio of milk and water 2 : 1. If the this ratio is to be 1 : 2, then the quanity of water to be further added is:
A. 20 litres B. 30 litres
C. 40 litres D. 60 litres

Answer: Option D

Explanation:

2
Quantity of milk
60 x
= 3
litres = 40 litres.

Quantity of water in it = (60- 40) litres = 20 litres.

New ratio = 1 : 2

Let quantity of water to be added further be x litres.

40
Then, milk : water = 20 + .
x
40 1
Now
20 + =
, 2
x

20 + x = 80

x = 60.

Quantity of water to be added = 60 litres.

6. The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be
the new ratio?
A. 8 : 9 B. 17 : 18
C. 21 : 22 D. Cannot be determined
Answer: Option C

Explanation:

Originally, let the number of boys and girls in the college be 7x and 8x respectively.

Their increased number is (120% of 7x) and (110% of 8x).

120 110
x x
and
100 7x 100 8x
42 44
x and x
5 5
42 44
The required ratio = x : x = 21 : 22.
5 5
7.  Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?
A. Rs. 17,000 B. Rs. 20,000
C. Rs. 25,500 D. Rs. 38,000

Answer: Option D

Explanation:

Let the original salaries of Ravi and Sumit be Rs. 2x and Rs. 3x respectively.

Then 2x + 4000 40
=
, 3x + 4000 57

57(2x + 4000) = 40(3x + 4000)

6x = 68,000

3x = 34,000

Sumit's present salary = (3x + 4000) = Rs.(34000 + 4000) = Rs. 38,000.

8. If 0.75 : x :: 5 : 8, then x is equal to:

A. 1.12 B. 1.2
C. 1.25 D. 1.30

Answer: Option B

Explanation:

6
(x x 5) = (0.75 x 8)    x= = 1.20

9. 

The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:

A. 20 B. 30
C. 48 D. 58

Answer: Option B

Explanation:

Let the three parts be A, B, C. Then,

 3 3 24
8
A : B = 2 : 3 and B : C = 5 : 8 = 5x : =3:
5 x5 5

A : B : C = 2 : 3 : 24= 10 : 15 : 24
5
15
B = 98 x = 30.

10. If Rs. 782 be divided into three parts, proportional to : : , then the first part is:
A. Rs. 182 B. Rs. 190
C. Rs. 196 D. Rs. 204

Answer: Option D

Explanation:

Given ratio = : : = 6 : 8 : 9.

6
1st part =
782 x = Rs. 204
Rs.
11. The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new
ratio of their salaries?
A
3 : 3 : 10 B.10 : 11 : 20
.

C.23 : 33 : 60 D.Cannot be determined

Answer: Option C

Explanation:

Let A = 2k, B = 3k and C = 5k.

23
115 of 2k 115 x
A's new salary = = k
= 2k
100 100 10
33
110 110 x
B's new salary = of 3k = = k
3k
100 100 10
120 120
C's new salary x =
of 5k =
= 100 100 5k 6k
23k 33k
New
: : 6k = 23 : 33 : 60
ratio 10 10
12. If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
A
2:5 B.3 : 7
.

C.5 : 3 D.7 : 3

Answer: Option C

Explanation:

2
Let 40% of A = B
3
Then 40A 2B
=
, 100 3
2A 2B
=
5 3
A= 2x5 =5
 B 3 2 3

A : B = 5 : 3.

13 The fourth proportional to 5, 8, 15 is:

. A
18 B.24
.

C.19 D.20

Answer: Option B

Explanation:

Let the fourth proportional to 5, 8, 15 be x.

Then, 5 : 8 : 15 : x

5x = (8 x 15)

(8 x 15)
x= = 24.
5
14 Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:
. A
27 B.33
.

C.49 D.55

Answer: Option B

Explanation:

Let the numbers be 3x and 5x.

Then 3x - 9 12
=
, 5x - 9 23

23(3x - 9) = 12(5x - 9)

9x = 99

x = 11.

The smaller number = (3 x 11) = 33.

15 In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?
. A 50 B.100
.

C.150 D.200

Answer: Option C

Explanation:
Let the number of 25 p, 10 p and 5 p coins be x, 2x, 3x respectively.

10 x 5x
Then, sum of their values = 25x 60x
+ 2x + 3x = Rs.
Rs.
100 100 100 100
60x x = 30 x 100= 50.
= 30
100 60

Hence, the number of 5 p coins = (3 x 50) = 150.