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:**

### Question Type 2: Based on Fractions

**Example: **

### If x:y=3:4 and y:z=3:4, then (x+y+z)/3z us is equal to:

a) 13/27

b) 1/2

c) 73/84

d) 37/48

**Solution:**

### Question Type 3: Based on Percentage

**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:**

### Question Type 4: Based on Ages

**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:**

### Question Type 5: Based on Average

**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:**

### Question Type 6: Based on Addition, Difference and Product

**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:**

### Question Type 7: Based on LCM & HCF

**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:**

### Question Type 8: If three numbers are in X:Y:Z and P is added/subtracted from them they become M:N:R

**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:**

### Question Type 9: Based on Allegation or Mixtures

**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:**

### Question Type 10: Based on Income or Expenditure

**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:**

### Question Type 11: Based on Coins and Rupees

**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:**