Ratio and Proportion For SBI PO 2024 Exam: The SBI PO 2024 exam is one of the most competitive banking exams in India. Among the various topics in the Quantitative Aptitude section, Ratio and Proportion holds great importance. Every year 3 or 4 questions come from this topic and the level is easy. This topic can help candidates solve many direct and indirect questions efficiently to score well. This article highlights the key concepts, types of questions, and a curated set of important questions on Ratio and Proportion to help you prepare effectively.
1. Ratio: The ratio of two quantities ‘a’ and ‘b’, in the same units, is the fraction (a/b) and we write it as a:b.
2. Proportion: The equality of two ratios is called proportion.
If a:b = c:d, we write, a:b::c:d and we say that ‘a’, ‘b’, ‘c’, ‘d’ are in proportion. Here ‘a’ and ‘d’ are called extremes, while ‘b’ and ‘c’ are called mean terms. Also, the Product of means = Product of extremes.
Question 1: After 15 years, ratio of age of Swati and Smriti will be 5:6 respectively. Age of Swati 12 years ago was 42.5% less than age of Smriti, 5 years ago. If present average age of Swati, Smriti and Kajal is 40 years and 8 months, then find the present age of Kajal
A) 40 years
B) 45 years
C) 48 years
D) 42 years
E) None of these
Question 2: The ratio of number of guavas to number of apples sold by a shopkeeper is 16:21, and the ratio of number of pomegranate to number of guava sold by the same shopkeeper is 5:8. If the price of each pomegranate and each apple are Rs. 16 and Rs. 9, respectively and total revenue earned by selling all pomegranates is Rs. 145 less than total revenue earned by selling all apples, then find the number of guavas sold by shopkeeper.
A) 64
B) 80
C) 160
D) 96
E) 112
Question 3: Present ages of Ram and Laxman are in the ratio 3:4, respectively and the present ages of Bharat and Satrughan are in the ratio 10:9, respectively. The present average age of Ram, Laxman, Bharat and Satrughan is 49 years and 6 months. Find the present age of Ram, if the present age of Bharat is 25% more than the present age of Laxman.
A) 60 years
B) 36 years
C) 48 years
D) 54 years
E) None of these
Question 4: A farmer mixes two varieties of rice of price Rs. 60 per kg and Rs. 48 per kg in the ratio of 1:2, respectively. If he sold the mixture for Rs. 1872, then find the quantity of rice of cost Rs. 60 per kg sold by him.
A) 15 kg
B) 10 kg
C) 12 kg
D) 18 kg
E) None of these
Question 5: Company B has 25% more employees than Company A. The respective ratio of males to females in Company A is 4:3. The ratio of males to females in Company B is 7:5. If number of males in Company A is 1920, then find the difference between number of females in Company A and that in Company B.
A) 320
B) 350
C) 310
D) 280
E) 240
Understand the Basics Thoroughly
Before moving ahead to some advanced-level questions, check if you know the basic things about Ratio and Proportion:
Ratio: A comparison of two numbers.
Example: The ratio 4 to 6 is written as (4:6) or simply as (2:3).
Proportion: A statement that states two ratios are equal.
Example: If (a:b = c:d), then (a, b, c,) and (d) are in proportion.
Solved Question Types Frequently
Identify and practice the most frequent question patterns in SBI PO Prelims:
– Problems based on direct ratio and proportion.
– Word problems related to ratios (for example, age, income, expenditure).
– Problems based on mixture and allegation that require the use of ratios.
– Speed, time, and distance questions involving proportional relationships.
Solve Previous Year Papers
Analyze the SBI PO Prelims of previous year papers to understand the difficulty level and frequency of questions related to Ratio and Proportion. This will help you anticipate the type of questions to expect in 2024.
Practice with Timed Quizzes
Time management is very crucial in SBI PO Prelims. Make use of online resources like Practicemock for practicing Ratio and Proportion questions in timed conditions. Gradually reduce the time taken for each question but maintain accuracy.
Revision
Dedicate specific slots in your study plan for revision. Revisit tricky questions and note shortcuts that worked well for you.
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It is a fundamental topic in quantitative aptitude and forms the basis for solving questions on mixtures, partnerships, percentages, and time-based problems.
Typically, 1–2 questions are expected from Ratio and Proportion in the SBI PO Prelims 2024 exam.
Candidates can download important questions in the article below.
The questions are usually moderate.
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