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IPMAT Ratio, Proportion and Percentages Questions 2026
IPMAT Ratio, Proportion and Percentages questions are an important part of the IPMAT Quant section. These questions test how well you understand basic concepts used in different problem types like comparing quantities, finding missing values, dividing amounts in a ratio, solving proportion-based sums, and calculating percentage increase, percentage decrease, profit, loss, and discounts.
You may get ratio, proportion, and percentages questions as direct formula-based sums or as part of longer word problems. The good thing is, they become much easier once your basics are clear and you know which formula or method to apply. You do not need very advanced math, just a strong understanding of concepts, regular practice, and careful calculation.
In this blog, you will find a simple formula PDF, a set of practice questions with answers, and some extra questions to solve on your own. You will also learn about common mistakes students make and a few easy tips to save time in the exam.
Important Formulas for IPMAT Ratio, Proportion and Percentages Questions
You only need a few basic formulas to solve most ratio, proportion, and percentage questions in IPMAT 2026. These formulas help you compare values, find missing numbers, and calculate percentages quickly.
You can download the full formula PDF from the link above. Here is a quick look at some of the main ones:
Concept | Formula |
Ratio | a : b = a/b |
Proportion | a : b = c : d means a/b = c/d |
Fourth Proportional | If a : b = c : x, then x = (b × c)/a |
Percentage | (Value / Total Value) × 100 |
Percentage Increase | (Increase / Original Value) × 100 |
Percentage Decrease | (Decrease / Original Value) × 100 |
New Value after Increase | Original Value × (1 + Percentage/100) |
New Value after Decrease | Original Value × (1 - Percentage/100) |
Profit Percentage | (Profit / Cost Price) × 100 |
Loss Percentage | (Loss / Cost Price) × 100 |
These formulas are useful for solving questions on comparison of quantities, sharing amounts in a ratio, direct and inverse proportion, percentage change, and profit and loss that often appear in IPMAT.
Top 5 Common Mistakes to Avoid in IPMAT Ratio, Proportion, and Percentages Questions
Forgetting basic formulas: Make sure you remember the correct formulas for ratio, proportion, percentage, profit, and loss.
Using wrong values: Always check which value is the original value and which value is the new value before solving the question.
Confusing ratio and proportion: Ratio is a comparison of two quantities, while proportion shows that two ratios are equal. Do not mix them up.
Ignoring simplification: Many students do not simplify ratios properly, which makes the next steps harder.
Making calculation errors: Even when the method is correct, small mistakes in multiplication, division, or percentage conversion can give the wrong answer. Solve step by step.
List of IPMAT Ratio, Proportion and Percentages Questions
Here’s a short set of IPMAT-style ratio, proportion, and percentages questions to help you practice. These include all common types of questions based on comparison, missing values, sharing in a ratio, percentage change, profit, loss, and discounts. Practice these regularly to become faster and more confident before your IPMAT exam.
Question 1
A fruit seller had a certain number of apples, bananas, and oranges at the start of the day. The number of bananas was 10 more than the number of apples, and the total number of bananas and apples was a multiple of 11. She was able to sell 70% of the apples, 60% of bananas, and 50% of oranges during the day. If she was able to sell 55% of the fruits she had at the start of the day, then the minimum number of oranges she had at the start of the day was
correct answer:- 2
Question 2
Let a, b, c, d be positive integers such that a + b + c + d = 2023. If a : b = 2 : 5 and c : d = 5 : 2 then the maximum possible value of a + c is________.
correct answer:- 1442
Question 3
The cost of a piece of jewellery is proportional to the square of its weight. A piece of jewellery weighing 10 grams is INR 3600. The cost of a piece of jewellery of the same kind weighing 4 grams is
correct answer:- 4
Question 4
The smallest possible number of students in a class if the girls in the class are less than 50% but more than 48% is
correct answer:- 1
Question 5
If $$\frac{a+b}{b+c} = \frac{c+d}{d+a}$$, which of the following statements is always true?
correct answer:- 3
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Question 6
Three friends divided some apples in the ratio 3 : 5 : 7 among themselves. After consuming 16 apples they found that the remaining number of apples with them was equal to largest number of apples received by one of them at the beginning. Total number of apples these friends initially had was
correct answer:- 30
Question 7
In an election with only two contesting candidates, 15% of the voters did not turn up to vote, and 50 voters cast invalid votes. It is known that 44% of all the voters in the voting list voted for the winner. If the winner got 200 votes more than the other candidate, then the number of voters in the voting list is_________.
correct answer:- 5000
Question 8
In a factory there are three types of machines b1, b2, and b3 which produces 20%, 15%, and 32% of the total products respectively. Further, machines b1, b2, and b3 which produces 3%, 7%, and 2% defective products respectively. Find the percentage of non-defective products?
correct answer:- 4
Question 9
A fruit seller has oranges, apples, and bananas in the ratio 3 : 6 : 7. If the number of oranges is a multiple of both 5 and 6, then the minimum number of fruits the seller has is:
correct answer:- 160
