Question: 1 -
What was the total number of illiterate people in A.P. and M.P. in 1998?
-
876040
-
981550
-
1161160
-
932170
Answer:
1161160
Solution:
No. of illiterate people in A.P. =
7
of (25% of 3276000)
= 637000.
9
No. of illiterate people in M.P. =
4
of (20% of 3276000)
= 524160.
5
Total number = (637000 + 524160) = 1161160.
No. of illiterate people in A.P. = | 7 | of (25% of 3276000) | = 637000. | ||
9 |
No. of illiterate people in M.P. = | 4 | of (20% of 3276000) | = 524160. | ||
5 |
Total number = (637000 + 524160) = 1161160.
Question: 2 -
What was the number of males in U.P. in the year 1998?
-
254650
-
294840
-
341200
-
321470
Answer:
294840
Solution:
Number of males in U.P.
=
3
of (15% of 3276000)
5
=
3
x
15
x 3726000
5
100
= 294840.
Number of males in U.P. |
|
|||||||
|
||||||||
= 294840. |
Question: 3 -
What is the ratio of the number of females in T.N. to the number of females in Delhi?
-
15 : 14
-
9 : 7
-
13 : 11
-
7 : 5
Answer:
15 : 14
Solution:
Required ratio
=
4
of (9% of 3276000)
7
3
of (8% of 3276000)
5
=
4
x 9
7
3
x 8
5
=
4
x 9 x
5
x
1
7
3
8
=
15
.
14
Required ratio
= |
|
|||
|
= |
|
|||||
|
= | 4 | x 9 x | 5 | x | 1 | ||
7 | 3 | 8 |
= | 15 | . |
14 |
Question: 4 -
If in the year 1998, there was an increase of 10% in the population of U.P. and 12% in the population of M.P. compared to the previous year, then what was the ratio of populations of U.P. and M.P. in 1997?
-
42 : 55
-
4 : 5
-
7 : 11
-
48 : 55
Answer:
42 : 55
Solution:
Let x be the population of U.P. in 1997. Then,
Population of U.P. in 1998 = 110% of x =
110
x x.
100
Also, let y be the population of M.P. in 1997. Then,
Population of M.P. in 1998 = 112% of y =
112
x y.
100
Ratio of populations of U.P. and M.P. in 1998 =
110
x x
100
=
110x
.
112
x y
100
112y
From the pie-chart, this ratio is
15
.
20
110x
=
15
x
=
15
x
112
=
42
.
112y
20
y
20
110
55
Thus, ratio of populations of U.P. and M.P. in 1997 = x : y = 42 : 55.
Let x be the population of U.P. in 1997. Then,
Population of U.P. in 1998 = 110% of x = | 110 | x x. |
100 |
Also, let y be the population of M.P. in 1997. Then,
Population of M.P. in 1998 = 112% of y = | 112 | x y. |
100 |
Ratio of populations of U.P. and M.P. in 1998 = |
|
= | 110x | . | |||||
|
112y |
From the pie-chart, this ratio is | 15 | . |
20 |
110x | = | 15 | x | = | 15 | x | 112 | = | 42 | . | ||
112y | 20 | y | 20 | 110 | 55 |
Thus, ratio of populations of U.P. and M.P. in 1997 = x : y = 42 : 55.
Question: 5 -
Study the following graph and the table and answer the questions given below. Data of different states regarding population of states in the year 1998 Total population of the given States = 3276000. Q: What will be the percentage of total number of males in U.P., M.P. and Goa together to the total population of all the given states?
States
Sex and Literacy wise Population Ratio
Sex
Literacy
M
F
Literate
Illiterate
A.P
5
3
2
7
M.P
3
1
1
4
Delhi
2
3
2
1
Goa
3
5
3
2
Bihar
3
4
4
1
U.P.
3
2
7
2
T.N.
3
4
9
4
-
25%
-
31.5%
-
28.5%
-
27.5%
Answer:
28.5%
Solution:
Number of males in U.P =
3
of (15% of N)
=
3
x
15
x N = 9 x
N
.
5
5
100
100
where N = 3276000.
Number of males in M.P =
3
of (20% of N)
=
3
x
20
x N = 15 x
N
.
4
4
100
100
Number of males in Goa =
3
of (12% of N)
=
3
x
12
x N = 4.5 x
N
.
8
8
100
100
Total number of males in these three states
= (9 + 15 + 4.5) x
N
100
=
28.5 x
N
.
100
Required Percentage =
28.5 x
N
100
x 100
% = 28.5%.
N
Number of males in U.P = | 3 | of (15% of N) | = | 3 | x | 15 | x N = 9 x | N | . | ||
5 | 5 | 100 | 100 |
where N = 3276000.
Number of males in M.P = | 3 | of (20% of N) | = | 3 | x | 20 | x N = 15 x | N | . | ||
4 | 4 | 100 | 100 |
Number of males in Goa = | 3 | of (12% of N) | = | 3 | x | 12 | x N = 4.5 x | N | . | ||
8 | 8 | 100 | 100 |
Total number of males in these three states |
|
|||||||
|
Required Percentage = |
|
x 100 | % = 28.5%. | |||||||
N |