iQue-Mathematics
Ratio & Proportion
Ex -1
1.
∴ value = 5x
1 Rs. Coins = 5x
∴ value=
50 paise coins = 6x
25 paise coins = 8x
2.
∴5x+3x+2x= 420
∴ x= 42
∴ No= 42x5, 42x6, 42x8
∴ value=
= 120
2nd No.=100 X
Ratio =
= 150
=3:5
Let the value of C =100
∴ B=100 X
∴ A=80X
A:C=
4.
=2x
Let third number be =100
then 1st No.=100 X
3.
=3x
= 80
[100-20]
= 112
[100+40]
=
5.
5x-3y = 13
∴3y-5x= -13
Multiplying by 2
6y-10x = -26
Total angle of triangle = 180
2x+3x+4x = 180
∴x = 20
Greatest angle = 20x4 = 80
6.
Foreigners = 94500 x
= 21000
Immigrants = 6400
∴ Natives = 94500-(21000+6400)
[100+20]
[100+50]
iQue-Mathematics
Ratio & Proportion
=94500-27400
=67100
:
7.
:
:
=
:
∴ 5x+10x+3x = 1449
∴ x = 80.5
Value = 80.5x5, 80.5x10, 80.5x3
8.
2 men = 5 girls
∴ 6 men =
x 6 = 15 girls
2 women = 3 girls
∴ 12 women =
x 12 = 18 girls
∴ 6 men+12 women+17 girls = 15 girls+18 girls +17 girls = 50 girls
50 girls = 250
9.
∴ 1 girl =
10.
=5
=
=
Or, 68x+51y = 66x+55y
Or, 2x = 4y
∴
11.
= 2:1
7x-10y = 4x-6y
3x =4y
∴
12.
=
=
15 ( +
) - 34xy =0
15 ( +
) = 34xy
∴ xy = 15 &
+
= 34
∴ x =3 or 5 AND y = 3 or 5
∴ 3:5
OR 5:3
=
(
(
)
)
(
(
)
)
=
= 11:5
iQue-Mathematics
13.
(3 ) + (2 ) + (5 ) = 1862
14.
15.
Ratio & Proportion
x 1248,
MILK =
x 1248,
X 45 = 36,
x 1248
Water =
X 45 = 9
=
16.
a:
= 3:2
∴ ab = 3:2
b:
17.
=?
∴ ab = 3:2
5:4
7:6
B=
x 1305
=
18.
19.
20.
21.
22.
5x7 : 4x7: 4x6
35: 28 : 24
3:4
8:9
3x8 : 4x8 : 4x9
=
Student Teacher = 20:1
Teacher Book =1:350
350x = 7000
∴20x = ?
1x X 2x X 3x = 750
20x1 :1x1: 1x350
20:1:350
= 400
iQue-Mathematics
Ratio & Proportion
= 125
∴x=5
23.
24.
MILK =
X 35 = 28,
Water =
X 35 =7
= 2:1
=
25.
26.
4A=5B=7C
A:B:C = 5x7 :4x7: 4x5 = 35 :28:20
x 1162
27.
A:D =
28.
+
and so on…
+
[4 coins of 25 paise = 1 Rs.]
[10 coins of 10 paise = 1Rs.]
[20 coins of 5 paise = 1 Rs.]
29.
30.
=
∴ x = √18 8 = 12
7:17
7:17
7X7 : 17X7 :17X17
49 : 119 : 289
49x = 490
∴ 289x = 2890
iQue-Mathematics
Ratio & Proportion
Ex-2
1.
60: 48::30:x
∴ x=
=
2.
=
3.
4:42 ::42:x
4.
=
5.
0.8:0.2::0.2:x
6.
0.2:0.12::0.3:x
7.
11:14::55:x
8.
64:x::x:81
9.
0.25:x::x:0.04
10.
3x+4x = 420
x =60
∴ greater No. = 60X4=240
11.
9x+5x = 1050
∴x = 75
12.
X 1200
13.
14.
∴ Boys = 75X9 = 675
X 660
12x+15x+25x = 312
∴x=6
OR
iQue-Mathematics
=
15.
16.
17.
Ratio & Proportion
=
3x-2x = 600
x =600
∴ 2x = 1200
9x-4x = 35
5x = 35
x =7
∴ Product = 9X7X7X4 = 1764
18.
5x-2x = 291
∴ x= 97
∴ 11x = 97x11 =1067
19.
A:D =
20.
3A=4B=5C
∴ A: B:C= (4X5:3X5:3X4) = 20:15:12
21.
7:5
9:11
7X9 :5X9 : 5X11
= 1:2
A:B = 5:3
B:C = 3:2
22.
23.
A:C =
= 5:2
8:15
8X5X4:15X5X4:15X8X4:15X8X5
5:8
=160:300:480:600
4:5
=16:30:48:60
Ajay:Aman:Suman:Geta: 8:15:24:30
∴ Suman =
A:S:M = 4:5
5:6
4x = 280
∴6x = 420
=
4X5 :5X5:5X6
4:5:6
iQue-Mathematics
24.
Ratio & Proportion
A:B = 3:5
B:C = 4:7
3X4 :5X4:5X7
12 :20 :35
A=
25.
2:3
2X7:3X7:3X9
14:21:27
7:9
Third No.=
26.
3:2
5:4
3:7
X 124 = 54
A:B:C:D=3X5X3:2X5X3:2X4X3:2X4X7
=45 :30
: 24 :56
B=
27.
X 201 = 36
=
28.
=
29.
=
30.
=
X 77500 = 15000