Ratio and Proportion Questions and Answers
Introduction
To help you with ratio and proportion aptitude problems for clearing exams and getting selected in a company, Nithra Jobs can provide you with a general overview and some example problems. However, keep in mind that Nithra Jobs site is one of the best website providing many job opportunities also. The concepts of ratio and proportion remain consistent across various exams and job applications. To know about the ratio and proportion aptitude formulas click this link.
1. The duplicate ratio of 3:4 is?Answer: 9:16
Explanation:
To find the duplicate ratio,square each term.
32: 42 = 9:16
The duplicate ratio of 3:4 is 9:16
2.The first three terms of a proportion are 4, 12 and 15. The fourth term is?
Answer: 45
Explanation:
The three terms in proportion are 4, 12 and 15
If a, b, c, d are in proportion then,
a : b = c : d
i.e ad = bc
Let the fourth term of the proportion be x
So, 4 : 12 = 15 : x
4x = 12 * 15
x = 45
The fourth term is 45
3. Two numbers are in the ratio 2 : 3. If 5 is subtracted from each, the new numbers are in the ratio 7 : 13. The smaller number is?
Answer: 12
Explanation:
Given data,
Smallest number = 2x
Largest number = 3x
( 2x - 5 ) / ( 3x - 5 ) = 7 / 13
13 * ( 2x - 5 ) = 7 * ( 3x - 5 )
26x - 65 = 21x - 35
26x - 21x = 65 - 35
5x = 30
x = 30 / 5
x = 6
The smaller number = 2x
= 2 * 6
= 12
The smaller number is 12
4. The salaries A, B, C are in the ratio 1 : 3 : 5. If the increments of 12 %, 10 % and 20 % are allowed respectively in their salaries, then what will be new ratio of their salaries?
Answer: 56 : 115 : 300
Explanation:
Given data,
The salaries are in the ratio be 1x, 3x, 5x
Their increments are 12%, 10% and 20%
Their total salaries = x * ( 112 / 100 ) : 3x * ( 110 / 100 ) : 5x * ( 120 / 100 )
= 112x : ( 3 * 110 )x : ( 5 * 120 )x
= 112x : 330x : 600x
= 56x : 115x : 300x
= 56 : 115 : 300
The new ratio of their salaries are 56 : 115 : 300
5. The ratio of the number of boys and girls in a college is 6 : 7. If the percentage increase in the number of boys and girls be 30% and 20% respectively, what will be the new ratio?
Answer: 13 : 14
Explanation:
Let the number of boys and girls in a college is 6x, 7x
Their increased number = 30% and 120%
= ( 130 / 100 ) * 6x : ( 120 / 100 ) * 7x
= ( 13 / 10 ) * 6x : ( 12 / 10 ) * 7x
= ( 78x / 10 ) : ( 84x / 10 )
= ( 39x / 5 ) : ( 42x / 5 )
= 39x : 42x
= 13 : 14
The new ratio = 13 : 14
Problems for Practice:
1. The mean proportional between 4 and 9 is?
2. The proportion of copper and zinc in the brass is 13:7. How much zinc will there be in 100 kg of brass?
3. The ratio of two numbers is 2:3 and the sum of their cubes is 945. The difference of number is?
4. The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally?
5. The first three terms of a proportion are 3, 9 and 12. The fourth term is?
Conclusion
These are some of the examples for ratio and proportion aptitude concept. It is important to practice different types of ratio and proportion questions and answers to become proficient in solving them. Additionally, familiarize yourself with the specific requirements and syllabus of the exams you are preparing for, as different exams may have unique question formats and levels of difficulty. To know about the few other problems visit this given link.
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