Problem 1 :
If there are two lengths such that a = 90 cm and b = 120 cm, then find the ratio between them.
Problems 2-8 refer to the following information.
S. No.
1.
2
3.
4.
5.
6.
Information
Age
Height
Weight
Studying time
Speed of cycling
Playing time
John
17 years
1 m 36 cm
31 kg.
4 hours
10 km/hr
2 hours
David
15 years
123 cm
29 kg.
180 min
15 km/hr
1 hour
Problem 2 :
Find the ratio of the age of John to David.
Problem 3 :
Find the ratio of the age of David to John.
Problem 4 :
Find the ratio of the weight of David to John.
Problem 5 :
Find the ratio of the height of John to David.
Problem 6 :
Find the ratio of studying time of John to David.
Problem 7 :
Find the ratio of speed of cycling between John and David.
Problem 8 :
Find the ratio of playing time of John to David.
Problem 9 :
A student has 12 note books and 8 text books. Find the ratio of the note books to text books.
Problem 10 :
The cost of a pen is $3 and the cost of pencil is $1.50. Find the ratio of the cost of a pen to pencil.
1. Solution :
a : b = 90 : 120
a : b = 3 : 4
So, the ratio between the two lengths is
3 to 4
2. Solution :
Age of John = 17 years
Age of David = 15 years
Age of John : Age of David = 17 : 15
So, the ratio of the age of John to David is
17 to 15
3. Solution :
Age of David = 15 years
Age of John = 17 years
Age of David : Age of John = 15 : 17
So, the ratio of the age of David to John is
15 to 17
4. Solution :
Weight of David = 29 kg
Weight of John = 31 kg
Weight of David : Weight of John = 29 : 31
So, the ratio of the Weight of David to John is
29 to 31
5. Solution :
Height of John is
= 1m + 36cm
= 100cm + 36cm
= 136 cm
Height of David = 123 cm
Height of John : Height of David = 136 : 123
So, the ratio of the height of John to height of David is
136 to 123
6. Solution :
Studying time of John is
= 4 hours
= 4 ⋅ 60 min
= 240 minutes
Studying time of David = 180 minutes
Studying time --> John : David = 240 : 180
Studying time --> John : David = 4 : 3
So, the ratio of studying time of John to David is
4 to 3
7. Solution :
Speed of cycling of John = 10 kmph
Speed of cycling of David = 15 kmph
Speed of cycling --> John : David = 10 : 15
Speed of cycling --> John : David = 2 : 3
So, the ratio of speed of cycling between John and David is
2 to 3
8. Solution :
Playing time of John = 2 hours
Playing time of David = 1 hour
Playing time --> John : David = 2 : 1
So, the ratio of playing time of John to David is
2 to 1
9. Solution :
No. of note books = 12
No. of textbooks = 8
No. of note books : No. of textbooks = 12 : 8
No. of note books : No. of textbooks = 3 : 2
So, the ratio of notebooks to textbooks is
3 to 2
10. Solution :
Cost of a pen = $3 = 3 ⋅ 100 = 300 pennies
Cost of a pencil = $1.50 = 1.50 ⋅ 100 = 150 pennies
Cost of a pen : Cost of a pencil = 300 : 150
Cost of a pen : Cost of a pencil = 2 : 1
So, the ratio of cost of a pen to pencil is
2 to 1
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