The topic Ratio and proportion for IBPS PO is one of the most important ones in the quantitative aptitude section. Having a firm grasp on this subject helps immensely in solving data interpretation questions. In this article, let us see how to prepare to tackle questions from ratio and proportion for IBPS PO.
From IBPS PO previous year papers, we can infer that 2-3 questions appear from this topic directly in the examination. Usually, these questions appear in conjunction with other topics such as percentages and investments. Hence, practising IBPS PO online mock tests can help aspirants adapt to the various manifestations in which the questions may come. IBPS PO online preparation can help aspirants improve their scores by a significant margin.
To have a basic idea about the topic, try reading Ratio and Proportion questions for Bank PO. Preparing well for this topic will reward aspirants handsomely in other exams like IBPS Clerk too.
Questions on Ratio and proportion for IBPS PO 2017:
A ratio is a measure of one quantity in terms of another. A ratio is represented by the notation a:b ( which means a/b). Here, ‘a’ is the antecedent and ‘b’ is the consequent. To represent two quantities in a ratio, they must bear dimensional homogeneity (They must be of the same type).
Most of the questions in the data interpretation section are from the topics ratio, proportions and percentages. Hence, the topic Ratio and proportion for IBPS PO indirectly holds the lion’s share of marks in the quants section.
Let us start with easy problems and then move on to tougher ones.
Question 1:
The cost price and the marked price of an article are in the ratio 3:5 and the marked price and selling price are in the ratio 10:7. If the cost price is Rs. 150, then the profit is
We know that the CP and MP are in the ratio 3:5. So, 3:5 = 150:MP
=> MP = Rs. 250
MP and SP are in the ratio 10:7
=> SP = Rs. 175
Profit = SP – CP = 175 – 150
Profit = Rs. 25
Question 2:
The prices of a shirt and a trouser are in the ratio 4:5. The prices of a blazer and a trouser are in the ratio 3:2. What is the ratio of prices of a blazer to that of a shirt?
Let us denote the price of a shirt by ‘s’, blazer by ‘b’ and a trouser by ‘t’.
s/t = 4/5
=> s = 0.8t
b/t = 3/2
=> b = 1.5t
s:b = 0.8t:1.5t = 8:15
Investments and partnerships:
If the interest rate is the same, then the profit must be divided in the ratio of the products of investment and time.
Question 3:
A, B, and C start a business with investments in the ratio 3:4:5. After a year, the business realizes a profit of Rs. 3,60,000. What is A’s share in the profit?
A, B and C invest in the ratio 3:4:5. Hence, the profit must be divided in the ratio (3*12):( 4*12):(5*12)
i.e, 3:4:5
A’s share = (3/(3+4+5))*3,60,000 = (3/12)*3,60,000
= (1/4)*3,60,000
= Rs. 90,000
Question 4:
A and B start a business with investments in the ratio 8:15. After 6 months, A invests half the sum he invested at the beginning again. In what ratio must A and B divide the profit by the end of 9 months?
Let us assume that A invests Rs. 8 in the beginning and B invests in Rs. 15.
B’s share = 15*9 = 135 parts.
A’s investment of Rs. 8 will be held for 9 months. A’s second investment of Rs. 4 is held only for 3 months (from the end of the sixth month to the end of the ninth month).
A’s share = 8*9 + 4*3 = 72+12 = 84.
Hence, the ratio in which the profit must be divided is 84:135.
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Question 5:
In a school, there are 3 classes A, B and C. The numbers of students in these classes are in the ratio 1:2:3.The ratio of boys to girls in class A is 3:2, class B is 4:1and class C is 7:8. All the students appeared in an exam. The ratio of boys who appeared in the exam to the boys who passed is 6:5. If the ratio of students who passed the exam to those who failed is 2:1, what is the ratio of the number of girls who passed the exam to the number of boys who passed the exam?
Let us assume that there are 300 students in the class for the ease of calculation.
=> Number of students in class A = 50
Number of students in class B = 100
Number of students in class C = 150
The ratio of boys to girls in each class is given. Let us tabulate the results.
Total number of boys = 30+80+70 = 180
The ratio of the number of boys who appeared to those who passed is 6:5.
=> Number of boys who passed = 150
Ratio of students who passed to those who failed = 2:1
=> 200 students passed.
Of the 200 students, 150 are boys. Hence, the remaining 50 must be girls.
Ratio of girls who passed to boys who passed = 50:150 = 1:3
As you can see, the topic Ratio and proportion for IBPS PO is one of the simplest and most scoring topics. Aspirants must try to maximize their score in this topic.
To learn more about the quantitative aptitude section, try reading Permutation and combination for IBPS PO and 6 tricks to crack IBPS PO quantitative aptitude.
