# Ratio & Proportion

Ratio and Proportion

## Questions Asked from this Chapter:

### Question Type 1: Based on basic concepts of Ratio and Proportion

Example:
If A:B=3:4, B:C=5:7 and C:D=8:9, then, the ratio of A:D is:
a) 3:7
b) 7:3
c) 21:10
d) 10:21
Solution:

a) 13/27
b) 1/2
c) 73/84
d) 37/48
Solution:

### Example:

RS. 395 are divided among A, B and C, in such a manner that B gets 25% more than A and 20% more than C. The share of A will be:
a) Rs. 195
b) Rs. 180
c) Rs. 98
d) Rs 120
Solution:

### Example:

The ratio of the age of a father to that of his son is 5:2. If the product of their ages in years is 1000, then the father's age (in years) after 10 years will be:
a) 50
b) 60
c) 80
d) 100
Solution:

### Example:

The average of two numbers is 62. If 2 is added to the smallest number, the ratio between the numbers becomes 1:2. The difference of the numbers is:
a) 62
b) 40
c) 84
d) 44
Solution:

### Example:

The ratio of two numbers is 10:7 and their difference is is 105. The sum of these numbers is
a) 595
b) 805
c) 1190
d) 1610
Solution:

### Example:

The ratio of two numbers is 3:4 and their LCM is 48. The sum of two numbers is:
a) 32
b) 28
c) 26
d) 24
Solution:

### Example:

The students in three classes are in the ratio 2:3:5. If 40 students are increased in each class, the ratio changes to 4:5:7. Originally, the total number of students was:
a) 100
b) 180
c) 200
d) 400
Solution:

### Example:

The ratio of copper and zinc in brass is 13:7. How much zinc will be there in 100 Kg of brass?
a) 20 Kg
b) 55 Kg
c) 35 Kg
d) 40 Kg
Solution:

### Example:

The ratio of incomes of two persons is 5:3 and that of their expenditures is 9:5. Find the income of each person, if they save Rs 1300 and Rs 900 respectively.
a) Rs 4000, Rs 2400
b) Rs 3000, Rs 1800
c) Rs 5000, Rs 3000
d) Rs 4500, Rs 2700
Solution:

### Example:

A man has in all Rs. 640 in the denomination of one-rupee, five-rupee and ten-rupee notes. The number of each type of notes are equal. What is the total number of notes he has?
a) 150
b) 120
c) 100
d) 90
Solution:

### Question Type 12: Based on Shares and Partners

Example:

Divide 7500 among A, B and C such that A's share to B's share  is in ratio 5:2 and B's share to C's share is in the ratio 7:13. How much will B receive?
a) Rs 1400
b) Rs 3500
c) Rs 2600
d) Rs 7000
Solution: