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1. Ratio & Proportion -1

2. Ratio and proportion is categorized into 5 types
 Basics
 Mixtures
 Allegation rule
 Unitary system
 Partnership

3. Basics of
Ratio & Proportion

4.  Approach called Ratio line
 In the ratio A:B
• A,B are Terms
• A,B are Variables
• A,B are Parts
• A,B are Antecedent
• A,B are Consequent
Basics of Ratio & Proportion

5. 1. A:B =1:2, B:C = 1:3, C:D = 2:1, D:E = 3:1, E:F = 1:2. Then what is
A:F, E:B, A:D, F:B, A:E ?
2. In a college, the ratio of intake across 4 branches (ME, IT, CS,
EC) is 3:2:4:5. The total intake in an year is 560. it is proposed to
increase the intake as 33 %, 50%, 25%, 20% respectively. Find
the ratio of new students after the increase ?
3. A bag contains 1rs, 2rs, 5rs, 10rs coins in the ratio of 2 : 3: 4: 5.
Find the number of 5rs coins in the bag if total value of currency
in bag is 1560/-?

6. 1. A:B =1:2,B:C = 1:3, C:D = 2:1, D:E = 3:1, E:F = 1:2. Then what
is A:F, E:B, A:D, F:B, A:E ?
Ans :
A : B : C : D : E : F
-------------------------------------
1 : 2
1 : 3
-------------------------------------
1 : 2 : 6
2 : 1
-------------------------------------
2 : 4 : 12 : 6
3 : 1
-------------------------------------
6 : 12 : 36 : 18 : 6
1 : 2
-------------------------------------
6 : 12 : 36 : 18 : 6 : 12
A : B : C
1 : 2 3
3 : 4 2
-------------------
3 : 6 : 8
A:F = 6 : 12 = 1:2
A:E = 6: 6 = 1:1
E:B = 6 : 12 = 1:2
A:D = 6 : 18 =1:3
F:B = 12 : 12 = 1:1

7. A sum of 4,50,000 has to be distributed among A, B, C, D such that
A:B =1:2
B:C=1:2
C:D=1:2 if so, then what is the share of C?
A : B : C : D
-------------------------------------
1 : 2
1 : 2
-------------------------------------
1 : 2 : 4
1 : 2
-------------------------------------
1 : 2 : 4 : 8
Ans :
=> 4,50,000 = 1,20,000
Share of C = 1,20,000

8. In a college, the ratio of intake across 4 branches (ME, IT, CS, EC) is
3:2:4:5. The total intake in an year is 560. It is proposed to increase
the intake as 33 %, 50%, 25%, 20% respectively. Find the
percentage increase in students ?
2.
3 : 2 : 4 : 5 => sum = 14 i.e out of 14
After increase with respective percentages
The ratio becomes,
4 : 3 : 5 : 6 => sum =18 i.e. out of 18
Therefore percentage increase in students is G = 100
= %
Ans :

9. A bag contains 1rs, 2rs, 5rs,10rs coins in the ratio of 2 : 3 : 4 : 5. Find
the number of 5rs coins in the bag if total value of currency in bag is
1560/-?
3.
2 : 3 : 4 : 5
1 2 5 10
---------------
2 6 20 50 => sum = 78
For sum = 1560, 5rs coins should be ??
Ans :
78 – 20
1560 -- 400
Number of 5rs coins = = 80
Number of coins

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Continued…..
Problems for practice are given in the description of the video.