Dear Mockbankers

Today in Banker’s Bounty, you will get Ratio and Proportion concept and previous year questions.

Step 1: Watch the video prepared by MockBank’s expert.

Step 2: Read the concepts that follow.

Step 3: Put a timer before you solve the previous year questions on decimal and fraction in quiz and record how much time it takes you to solve it.

Step 4: Send us questions in comments section below which took maximum time and we will tell you a faster way to solve it.

Basic Concepts

Ratio is a fraction of two values. It can be represented in any of the following ways:

=> x/y,  x : y , x÷y

• In ratio of the form x : y,  x is called as the antecedent/first term and y is the consequent/second term.
• Generally, ratio is a handy way to compare two terms.
• For example : 4 / π > 1 , it is clear that 4 > π
• One thing that has to be remembered while comparing two numbers in a ratio is that they should be represented in same units. For example, if x is in meters and y in litres they cannot be compared by using ratio as they are expressed in different units – meters vs litres.

A proportion is the equality of two ratios/ fractions.

• If x : y = a : b, it can be written as  x : y :: a : b and it is said that x, y, a, b are in proportion.
• Here x and b are called extremes, while y and a are called mean terms.
• Product of means=Product of extremes
Thus,
x :y :: a : b  => (y∗a)=(x∗b)
• If x : y=a : b

b is called the fourth proportional to x, y and a.

a is called the third proportional to x and y.

• Sub-duplicate: Sub-duplicate ratio of (a:b) is (a^1/2: b^1/2)
• Duplicate ratio of (a:b) is (a^2:b^2)
• Triplicate Ratio:Triplicate ratio of (a:b) is (a^3:b^3)
• Sub-triplicate Ratio: Sub-triplicate ratio of (a:b) is (a^1/3:b^1/3)
• If a/b=c/d then, a+b/a−b=c+d/c−d This is known as Componendo and Dividendo.
• We say that x is directly proportional to y, if x=ky for some constant k and we write, x∝y
• We say that x is inversely proportional to y, if xy=k for some constant k and we write, x∝1y
1. If 5x2 – 13xy + 6y2 = 0, then x : y is :

Question 1 of 10

2. Let x/5 = y/8 = k. Then x = 5k and y = 8k.
so x+5/y+8 = 5k+5/8k+8 = 5(k+1)/8(k+1) = 5/8 => (x+5) : (y+8) = 5:8.

Question 2 of 10

3. If A : B = 3 : 4 and B : C = 8 : 9, then A : C is:

Question 3 of 10

4. If a/3 = b/4 = c/7, then a+b+c/c is equal to:

Question 4 of 10

5. If (a+b) : (b+c) : (c+a) = 6 : 7 : 8 and (a+b+c) = 14, then the value of c is:

Question 5 of 10

6. The salaries of A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, than what will be the new ratio of their salaries?

Question 6 of 10

7. If Rs.782 be divided into three parts, proportional to 1/2 : 2/3 : 3/4, then the first part is :

Question 7 of 10

8. If 76 is divided into four parts proportional to 7, 5, 3, 4 then the smallest part is:

Question 8 of 10

9. Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:

Question 9 of 10

10. Two number are in the ratio 1 : 2. If 7 is added to both, their ratio changes to 3 : 5. The greatest number is:

Question 10 of 10