IPMPrepWhat was the average profit per company in 2024?
Solution
Total in 2024 = 290 + 150 + 280 + 170 + 310 = 1200.
Average = 12005 = 240.
Answer: (A) 240
Logical Reasoning and Data Interpretation · Data interpretation
Data Interpretation: IPMAT practice questions
28 questions. Each is marked with the exam level it suits. Answer, then open the step-by-step solution.
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Set 1
Profit of five companies, 2021–2024 (in Rs. lakh)
| 2021 | 2022 | 2023 | 2024 | |
|---|---|---|---|---|
| Coastal Paints | 200 | 250 | 255 | 290 |
| Arun Foods | 200 | 175 | 160 | 150 |
| Deccan Tyres | 170 | 180 | 230 | 280 |
| Eastern Cement | 180 | 195 | 185 | 170 |
| Bharat Steel | 300 | 320 | 290 | 310 |
Questions 1–4 are based on this table.
In how many of the four years was the profit of Bharat Steel more than that of Coastal Paints?
Solution
Compare year by year: 2021: 300 vs 200; 2022: 320 vs 250; 2023: 290 vs 255; 2024: 310 vs 290.
Bharat Steel is higher in 4 years.
Answer: (D) 4
Which one had the largest increase in profit from 2021 to 2022?
Solution
Increases: Coastal Paints +50; Arun Foods −25; Deccan Tyres +10; Eastern Cement +15; Bharat Steel +20.
The largest is Coastal Paints (+50).
Answer: (A) Coastal Paints
By what percentage did the profit of Arun Foods change from 2021 to 2024? (Correct to one decimal place; a negative value means a fall.)
Solution
Arun Foods: 200 in 2021, 150 in 2024.
Change = (150 − 200)/200 × 100 = −25%.
Answer: (B) −25%
Set 2
Students in four colleges by stream. The last column gives the fraction of each college's students who are girls.
| College | Science | Commerce | Arts | Girls (fraction) |
|---|---|---|---|---|
| College P | 200 | 60 | 140 | 25 |
| College Q | 170 | 160 | 130 | 14 |
| College R | 90 | 80 | 200 | 25 |
| College S | 140 | 200 | 80 | 12 |
Questions 5–8 are based on this table.
How many girls are there in the four colleges together?
Solution
Girls in each college: 25 × 400 = 160; 14 × 460 = 115; 25 × 370 = 148; 12 × 420 = 210.
Total = 633.
Answer: (B) 633
What percentage of all Arts students are in College Q?
Solution
Arts students in all = 550.
College Q has 130: 130550 × 100 = 23.6%.
Answer: (D) 23.6%
Which college has the most students?
Solution
Totals: College P 400; College Q 460; College R 370; College S 420.
The largest is College Q.
Answer: (A) College Q
How many boys study in College R?
Solution
Total = 90 + 80 + 200 = 370.
Girls = 25 × 370 = 148; boys = 222.
Answer: (B) 222
Set 3
Revenue of five companies, 2021–2024 (in Rs. crore)
| 2021 | 2022 | 2023 | 2024 | |
|---|---|---|---|---|
| Delta | 90 | 80 | 130 | 125 |
| Alpha | 150 | 140 | 165 | 215 |
| Beta | 80 | 130 | 170 | 160 |
| Sigma | 220 | 265 | 255 | 260 |
| Gamma | 290 | 305 | 340 | 385 |
Questions 9–12 are based on this table.
Which one had the largest increase in revenue from 2022 to 2023?
Solution
Increases: Delta +50; Alpha +25; Beta +40; Sigma −10; Gamma +35.
The largest is Delta (+50).
Answer: (C) Delta
What was the average revenue per company in 2023?
Solution
Total in 2023 = 130 + 165 + 170 + 255 + 340 = 1060.
Average = 10605 = 212.
Answer: (B) 212
What is the ratio of the total revenue of Delta to that of Sigma over the four years?
Solution
Delta: 90 + 80 + 130 + 125 = 425.
Sigma: 220 + 265 + 255 + 260 = 1000.
Ratio = 425 : 1000 = 17 : 40.
Answer: (C) 17 : 40
By what percentage did the revenue of Delta change from 2021 to 2024? (Correct to one decimal place; a negative value means a fall.)
Solution
Delta: 90 in 2021, 125 in 2024.
Change = (125 − 90)/90 × 100 ≈ 38.9%.
Answer: (D) 38.9%
Set 4
Percentage break-up of a company's expenses. Total: Rs. 1000 lakh in Year 1 and Rs. 1250 lakh in Year 2 (the break-up is the same in both years).
| Head | Share (%) |
|---|---|
| Salaries | 10 |
| Rent | 40 |
| Marketing | 15 |
| Travel | 10 |
| Utilities | 15 |
| Others | 10 |
Questions 13–16 are based on this table.
If the break-up were drawn as a pie chart, what angle would Marketing take?
Solution
Angle = 15% of 360° = 54°.
Answer: (D) 54°
How much was spent on Rent in Year 1?
Solution
40% of Rs. 1000 lakh = Rs. 400 lakh.
Answer: (C) Rs. 400 lakh
In Year 2, what was the difference between the amounts spent on Travel and Marketing?
Solution
Difference in share = 5%.
5% of Rs. 1250 lakh = Rs. 62.5 lakh.
Answer: (D) Rs. 62.5 lakh
The amount spent on Marketing is what percentage of the amount spent on Salaries?
Solution
Since both are shares of the same total: 1510 × 100 = 150%.
Answer: (A) 150%
Set 5
Students in four colleges by stream. The last column gives the fraction of each college's students who are girls.
| College | Science | Commerce | Arts | Girls (fraction) |
|---|---|---|---|---|
| College P | 140 | 90 | 150 | 14 |
| College Q | 120 | 130 | 80 | 12 |
| College R | 80 | 200 | 60 | 35 |
| College S | 110 | 50 | 100 | 35 |
Questions 17–20 are based on this table.
How many boys study in College R?
Solution
Total = 80 + 200 + 60 = 340.
Girls = 35 × 340 = 204; boys = 136.
Answer: (C) 136
How many girls are there in the four colleges together?
Solution
Girls in each college: 14 × 380 = 95; 12 × 330 = 165; 35 × 340 = 204; 35 × 260 = 156.
Total = 620.
Answer: (A) 620
What percentage of all Science students are in College S?
Solution
Science students in all = 450.
College S has 110: 110450 × 100 = 24.4%.
Answer: (D) 24.4%
Which college has the most students?
Solution
Totals: College P 380; College Q 330; College R 340; College S 260.
The largest is College P.
Answer: (A) College P
Set 6
Units sold of five companies, 2021–2024 (in thousand units)
| 2021 | 2022 | 2023 | 2024 | |
|---|---|---|---|---|
| Alpha | 120 | 110 | 90 | 70 |
| Beta | 270 | 245 | 280 | 295 |
| Gamma | 280 | 305 | 300 | 350 |
| Delta | 270 | 265 | 300 | 335 |
| Sigma | 210 | 245 | 230 | 255 |
Questions 21–24 are based on this table.
By what percentage did the units sold of Alpha change from 2021 to 2024? (Correct to one decimal place; a negative value means a fall.)
Solution
Alpha: 120 in 2021, 70 in 2024.
Change = (70 − 120)/120 × 100 = −1253%.
Answer: (C) −1253%
What is the ratio of the total units sold of Sigma to that of Alpha over the four years?
Solution
Sigma: 210 + 245 + 230 + 255 = 940.
Alpha: 120 + 110 + 90 + 70 = 390.
Ratio = 940 : 390 = 94 : 39.
Answer: (D) 94 : 39
In how many of the four years was the units sold of Sigma more than that of Gamma?
Solution
Compare year by year: 2021: 210 vs 280; 2022: 245 vs 305; 2023: 230 vs 300; 2024: 255 vs 350.
Sigma is higher in 0 years.
Answer: (A) 0
What was the average units sold per company in 2023?
Solution
Total in 2023 = 90 + 280 + 300 + 300 + 230 = 1200.
Average = 12005 = 240.
Answer: (B) 240
Set 7
Students in four colleges by stream. The last column gives the fraction of each college's students who are girls.
| College | Science | Commerce | Arts | Girls (fraction) |
|---|---|---|---|---|
| College P | 80 | 60 | 120 | 35 |
| College Q | 90 | 130 | 130 | 35 |
| College R | 90 | 150 | 40 | 14 |
| College S | 200 | 120 | 160 | 14 |
Questions 25–28 are based on this table.
Which college has the most students?
Solution
Totals: College P 260; College Q 350; College R 280; College S 480.
The largest is College S.
Answer: (A) College S
How many girls are there in the four colleges together?
Solution
Girls in each college: 35 × 260 = 156; 35 × 350 = 210; 14 × 280 = 70; 14 × 480 = 120.
Total = 556.
Answer: (D) 556
What percentage of all Commerce students are in College R?
Solution
Commerce students in all = 460.
College R has 150: 150460 × 100 = 32.6%.
Answer: (B) 32.6%
How many boys study in College R?
Solution
Total = 90 + 150 + 40 = 280.
Girls = 14 × 280 = 70; boys = 210.
Answer: (C) 210
These are original practice questions written by Target Campus in the pattern, syllabus and difficulty of IPMAT Indore, IPMAT Rohtak, JIPMAT, NPAT and SET. They are not previous-year papers.