Divide 80 hours in the ratio 2:6
Find the Ratio & Proportion for the Following
Name
Grade
School
Date
Questions10
Score
1
2
In a city of 384090 people, the ratio of men to women is 3 : 7. Find the number of men and women?
3
The ratio between length and breadth of a rectangle is 5:6. If the breadth is 534 inch, find the length?
4
If $3283 is divided between Kevin and Jonathan in 3:4 ratio, who will get more and how much more?
5
The ratio of expenditure and savings in a family is 4:9. If the expenditure is $2296. What is the savings?
6
Divide $994 in the ratio 5:9
7
Iva and Sophia decides to share the price money of competition in 2:3 ratio respectively. If they receive $4575 together. Find the share of each
8
The ratio between length and breadth of a rectangle is 4:2. If the breadth is 40 inch, find the length?
9
The ratio of expenditure and savings in a family is 6:8. If the expenditure is $2904. What is the savings?
10
In a city of 474621 people, the ratio of men to women is 3 : 4. Find the number of men and women?
Answers Key
Show All Workout
1
Divide 80 hours in the ratio 2:6
20 : 60
Solution
2:6 means the first quantity is 2 parts and the second quantity in 6 parts.
The total number of parts = 2 + 6 = 8
8parts = 80
∴ 2 parts = 10 x 2 = 20
and 6 parts = 10 x 6 = 60
The total number of parts = 2 + 6 = 8
8parts = 80
∴ 1 part =
808
= 10
and 6 parts = 10 x 6 = 60
2
In a city of 384090 people, the ratio of men to women is 3 : 7. Find the number of men and women?
Number of men in the city = 115227
Number of women in the city = 268863
Number of women in the city = 268863
Solution
Number of people in the city = 384090
Ratio of men to women = 3 : 7
The total number of parts = 3 + 7 = 10
10parts = 384090
∴ Number of men in the city = 38409 x 3 = 115227
and Number of women in the city = 38409 x 7 = 268863
Ratio of men to women = 3 : 7
The total number of parts = 3 + 7 = 10
10parts = 384090
∴ 1 part =
38409010
= 38409
and Number of women in the city = 38409 x 7 = 268863
3
The ratio between length and breadth of a rectangle is 5:6. If the breadth is 534 inch, find the length?
Length = 445 inch
Solution
Breadth of the rectangle = 534 inch
The ratio of length to breadth is 5:6
Breadth = 6 part
6 parts = 534 inch
Length = 5 parts
5 parts = 5 x 89 = 445
∴ Length of the rectangle = 445 inch.
The ratio of length to breadth is 5:6
Breadth = 6 part
6 parts = 534 inch
∴ 1 part =
5346
= 89
5 parts = 5 x 89 = 445
∴ Length of the rectangle = 445 inch.
4
If $3283 is divided between Kevin and Jonathan in 3:4 ratio, who will get more and how much more?
Kevin get $1407
Jonathan get $1876
Jonathan get $469 more than Kevin
Jonathan get $1876
Jonathan get $469 more than Kevin
Solution
Total Money = $3283
Ratio of Kevin and Jonathan = 3 : 4
The total number of parts = 3 + 4 = 7
7 parts = 3283
Kevin's amount = 469 x 3 = $1407
Jonathan's amount = 469 x 4 = $1876
Jonathan get 1876
Ratio of Kevin and Jonathan = 3 : 4
The total number of parts = 3 + 4 = 7
7 parts = 3283
∴ 1 part =
32837
= 469
Jonathan's amount = 469 x 4 = $1876
Jonathan get 1876
5
The ratio of expenditure and savings in a family is 4:9. If the expenditure is $2296. What is the savings?
Savings = $5166
Solution
The ratio of expenditure and savings is 4:9
Expenditure of the family = $2296
Expenditure = 4 part
4 parts = $2296
Savings = 9 parts
9 parts = 9 x 574 = 5166
∴ Savings of the family = $5166
Expenditure of the family = $2296
Expenditure = 4 part
4 parts = $2296
∴ 1 part =
22964
= 574
9 parts = 9 x 574 = 5166
∴ Savings of the family = $5166
6
Divide $994 in the ratio 5:9
$355 : $639
Solution
5:9 means the first quantity is 5 parts and the second quantity in 9 parts.
The total number of parts = 5 + 9 = 14
14 parts = $994
∴ 5 parts = 71 x 5 = $355
and 9 parts = 71 x 9 = $639
The total number of parts = 5 + 9 = 14
14 parts = $994
∴ 1 part =
99414
= 71
and 9 parts = 71 x 9 = $639
7
Iva and Sophia decides to share the price money of competition in 2:3 ratio respectively. If they receive $4575 together. Find the share of each
Iva get $1830
Sophia get $2745
Sophia get $2745
Solution
Total price money = $4575
Ratio of Iva and Sophia = 2 : 3
The total number of parts = 2 + 3 = 5
5 parts = 4575
∴ Iva's price money = 915 x 2 = $1830
and Sophia's price money = 915 x 3 = $2745
Ratio of Iva and Sophia = 2 : 3
The total number of parts = 2 + 3 = 5
5 parts = 4575
∴ 1 part =
45755
= 915
and Sophia's price money = 915 x 3 = $2745
8
The ratio between length and breadth of a rectangle is 4:2. If the breadth is 40 inch, find the length?
Length = 80 inch
Solution
Breadth of the rectangle = 40 inch
The ratio of length to breadth is 4:2
Breadth = 2 part
2 parts = 40 inch
Length = 4 parts
4 parts = 4 x 20 = 80
∴ Length of the rectangle = 80 inch.
The ratio of length to breadth is 4:2
Breadth = 2 part
2 parts = 40 inch
∴ 1 part =
402
= 20
4 parts = 4 x 20 = 80
∴ Length of the rectangle = 80 inch.
9
The ratio of expenditure and savings in a family is 6:8. If the expenditure is $2904. What is the savings?
Savings = $3872
Solution
The ratio of expenditure and savings is 6:8
Expenditure of the family = $2904
Expenditure = 6 part
6 parts = $2904
Savings = 8 parts
8 parts = 8 x 484 = 3872
∴ Savings of the family = $3872
Expenditure of the family = $2904
Expenditure = 6 part
6 parts = $2904
∴ 1 part =
29046
= 484
8 parts = 8 x 484 = 3872
∴ Savings of the family = $3872
10
In a city of 474621 people, the ratio of men to women is 3 : 4. Find the number of men and women?
Number of men in the city = 203409
Number of women in the city = 271212
Number of women in the city = 271212
Solution
Number of people in the city = 474621
Ratio of men to women = 3 : 4
The total number of parts = 3 + 4 = 7
7parts = 474621
∴ Number of men in the city = 67803 x 3 = 203409
and Number of women in the city = 67803 x 4 = 271212
Ratio of men to women = 3 : 4
The total number of parts = 3 + 4 = 7
7parts = 474621
∴ 1 part =
4746217
= 67803
and Number of women in the city = 67803 x 4 = 271212
Loading...
