ExamAdept

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?

A:

42 : 55

B:

48 : 55

C:

7 : 11

D:

4 : 5

Answer: A

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.

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What was the number of males in U.P. in the year 1998?

A:

254650

B:

294840

C:

321470

D:

341200

Answer: B

Number of males in U.P.

=			3	of (15% of 3276000)
			5

=	3	x	15	x 3726000
	5		100

= 294840.

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What is the ratio of the number of females in T.N. to the number of females in Delhi?

A:

7 : 5

B:

9 : 7

C:

13 : 11

D:

15 : 14

Answer: D

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

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What was the total number of illiterate people in A.P. and M.P. in 1998?

A:

876040

B:

932170

C:

981550

D:

1161160

Answer: D

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

Therefore Total number = (637000 + 524160) = 1161160.

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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?

A:

25%

B:

27.5%

C:

28.5%

D:

31.5%

Answer: C

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

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Questions for: Pie Charts