EduSahara™ Assignment
Name : Word Problems on Ratios
Chapter : Ratio and Proportion
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
In a mixture of
406
litres,
the ratio of milk and water is
15 : 14
.
How much water must be added
to this mixture to make the ratio
105 : 118
?
(i)
37
(ii)
39
(iii)
40
(iv)
43
(v)
41
Question
2
2.
The ratio of males to females in a committee of 630 members is 17 : 18. How many more ladies should be added to the committee so that the ratio of males to females is 153 : 190?
(i)
56
(ii)
59
(iii)
55
(iv)
57
(v)
53
Question
3
3.
An employer reduces the number of
employees in the ratio of
10 : 3
and increases their wages
in the ratio
6 : 11
.
In what ratio, the wage bill is increased or decreased?
(i)
20
:
11
(ii)
20
:
8
(iii)
19
:
11
(iv)
20
:
13
Question
4
4.
The work done by (17x) men in (2) days and work done by (4x + 2) men in (x + 2) days is in the ratio of 85 : 77 . Find the value of x
(i)
5
(ii)
6
(iii)
3
(iv)
7
(v)
4
Question
5
5.
A man reduces his weight in the ratio 20 : 13. What is his weight now, if originally he was 81 kg ?
(i)
1093
20
kg
(ii)
527
10
kg
(iii)
1053
20
kg
(iv)
211
4
kg
(v)
1073
20
kg
Question
6
6.
A certain amount has been divided into two parts in the ratio 3 : 5. If the first part is 72, find the total amount.
(i)
191
(ii)
189
(iii)
193
(iv)
192
(v)
195
Question
7
7.
Divide
₹57000
into three parts
such that the first one is
5
9
of the second
and ratio between second and the third is
3 : 8
(i)
₹
7500.00
:
₹
13500.00
:
₹
13500.00
(ii)
₹
7500.00
:
₹
13500.00
:
₹
36000.00
(iii)
₹
36000.00
:
₹
7500.00
:
₹
13500.00
(iv)
₹
7500.00
:
₹
36000.00
:
₹
13500.00
(v)
₹
13500.00
:
₹
36000.00
:
₹
7500.00
Question
8
8.
Increase
161
in the ratio
7 : 16
(i)
367
(ii)
369
(iii)
366
(iv)
370
(v)
368
Question
9
9.
Divide
₹46500
among A,B,C so that
A shall receive
10
21
of what B and C together recieve
and B may receive
15
16
of what A and C receive
(i)
₹
15000.00
:
₹
22500.00
:
₹
9000.00
(ii)
₹
15000.00
:
₹
9000.00
:
₹
22500.00
(iii)
₹
9000.00
:
₹
15000.00
:
₹
22500.00
(iv)
₹
22500.00
:
₹
9000.00
:
₹
15000.00
(v)
₹
15000.00
:
₹
22500.00
:
₹
22500.00
Question
10
10.
A bag contains ₹1548 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 17 : 16 : 12. Find the number of coins of each type
(i)
205 , 197 , 139
(ii)
206 , 187 , 144
(iii)
204 , 192 , 144
(iv)
202 , 197 , 144
(v)
203 , 192 , 149
Question
11
11.
In an examination, the ratio of passes to failures was 2 : 1.
Had 20 less appeared and 10 less passed, the ratio of passes to failures would have been 9 : 4.
How many students appeared for the examination?
(i)
145
(ii)
160
(iii)
150
(iv)
140
(v)
155
Question
12
12.
What number must be added to each term of the ratio
162
:
360
to make it
20
:
31
?
(i)
199
(ii)
195
(iii)
198
(iv)
197
(v)
200
Question
13
13.
A ratio is equal to 5 : 2. If its antecendent is 875, what is its consequent?
(i)
351
(ii)
349
(iii)
347
(iv)
352
(v)
350
Question
14
14.
A ratio is equal to 3 : 5. If its consequent is 6125, what is its antecendent?
(i)
3677
(ii)
3673
(iii)
3676
(iv)
3675
(v)
3674
Question
15
15.
Two numbers are in the ratio 4 : 12. If 12 is added to each number, the ratio becomes 3 : 7. Find the numbers.
(i)
20
:
60
(ii)
24
:
72
(iii)
28
:
84
(iv)
16
:
48
(v)
32
:
96
Question
16
16.
The ratio of two numbers is
1
:
2
and their LCM is 12. Find the numbers.
(i)
4
:
8
(ii)
7
:
14
(iii)
5
:
10
(iv)
6
:
12
(v)
8
:
16
Question
17
17.
If
6
A =
2
B =
8
C,
find A : B : C
(i)
4
:
9
:
3
(ii)
4
:
15
:
3
(iii)
3
:
12
:
3
(iv)
4
:
12
:
3
(v)
5
:
12
:
3
Question
18
18.
If
A
3
=
B
8
=
C
9
,
find A : B : C
(i)
3
:
8
:
9
(ii)
3
:
10
:
9
(iii)
3
:
5
:
9
(iv)
4
:
8
:
9
(v)
2
:
8
:
9
Question
19
19.
If
9
A =
7
B and
3
B =
2
C,
find A : C
(i)
14
:
25
(ii)
14
:
29
(iii)
13
:
27
(iv)
15
:
27
(v)
14
:
27
Question
20
20.
Divide 3219 in the ratio
3
4
:
7
3
(i)
783 , 2434
(ii)
783 , 2438
(iii)
784 , 2436
(iv)
783 , 2436
(v)
782 , 2436
Question
21
21.
Divide 3346 in the ratio
3
7
:
7
4
:
2
3
(i)
504 , 2060 , 784
(ii)
505 , 2058 , 784
(iii)
504 , 2056 , 784
(iv)
504 , 2058 , 784
(v)
503 , 2058 , 784
Question
22
22.
Two numbers are in the ratio 8 : 3 and their difference is 105. Find the numbers.
(i)
168,63
(ii)
168,61
(iii)
168,66
(iv)
167,63
(v)
169,63
Question
23
23.
An office contains 1407 employees of 4 types. The managers, team leaders, developers and testers are in the ratio 5 : 6 : 3 : 7. The number of managers in the office =
(i)
333
(ii)
335
(iii)
336
(iv)
334
(v)
338
Question
24
24.
An office contains 273 managers, 117 team leaders, 39 developers and 156 testers. The ratio of all employees in the office =
(i)
6
:
3
:
1
:
4
(ii)
7
:
6
:
1
:
4
(iii)
7
:
3
:
1
:
4
(iv)
8
:
3
:
1
:
4
(v)
7
:
1
:
1
:
4
Question
25
25.
An office contains 46 managers, 138 team leaders, 230 developers and 322 testers. The ratio of managers and team leaders =
(i)
1
:
3
(ii)
2
:
3
(iii)
1
:
0
(iv)
0
:
3
(v)
1
:
5
Question
26
26.
An office contains 280 managers, 490 team leaders, 420 developers and 70 testers. The ratio of managers to the total employees =
(i)
2
:
6
(ii)
3
:
9
(iii)
2
:
12
(iv)
1
:
9
(v)
2
:
9
Question
27
27.
A box contains 162 fruits of 3 types. The mangoes, apples, and oranges are in the ratio 1 : 3 : 5. The number of mangoes in the box =
(i)
20
(ii)
16
(iii)
17
(iv)
19
(v)
18
Question
28
28.
A box contains 138 mangoes, 161 apples and 23 oranges. The ratio of all fruits in the box =
(i)
5
:
7
:
1
(ii)
6
:
7
:
1
(iii)
6
:
5
:
1
(iv)
7
:
7
:
1
(v)
6
:
10
:
1
Question
29
29.
A box contains 72 mangoes, 48 apples and 24 oranges. The ratio of mangoes and apples =
(i)
3
:
4
(ii)
4
:
2
(iii)
3
:
2
(iv)
2
:
2
(v)
3
:
0
Question
30
30.
A box contains 306 mangoes, 255 apples and 204 oranges. The ratio of mangoes to the total fruits =
(i)
3
:
5
(ii)
2
:
3
(iii)
1
:
5
(iv)
2
:
5
(v)
2
:
7
Question
31
31.
A box contains 364 pens and 52 pencils. The ratio of all stationary items in the box =
(i)
7
:
4
(ii)
8
:
1
(iii)
7
:
-1
(iv)
7
:
1
(v)
6
:
1
Question
32
32.
A box contains 70 pens and 420 pencils. The ratio of pens to the total stationary items =
(i)
0
:
7
(ii)
1
:
7
(iii)
1
:
5
(iv)
1
:
9
(v)
2
:
7
Question
33
33.
A box contains 84 pens and 60 pencils. The ratio of pencils to the total stationary items =
(i)
5
:
10
(ii)
5
:
14
(iii)
6
:
12
(iv)
4
:
12
(v)
5
:
12
Assignment Key
1) (iii)
2) (i)
3) (i)
4) (i)
5) (iii)
6) (iv)
7) (ii)
8) (v)
9) (i)
10) (iii)
11) (iii)
12) (iii)
13) (v)
14) (iv)
15) (ii)
16) (iv)
17) (iv)
18) (i)
19) (v)
20) (iv)
21) (iv)
22) (i)
23) (ii)
24) (iii)
25) (i)
26) (v)
27) (v)
28) (ii)
29) (iii)
30) (iv)
31) (iv)
32) (ii)
33) (v)