In how many of the four years was the profit of Unit E more than that of Unit D?
Solution
Compare year by year: 2021: 110 vs 300; 2022: 145 vs 330; 2023: 135 vs 345; 2024: 105 vs 370.
Unit E is higher in 0 years.
24 questions in the pattern of MAH MBA CET, NMAT and SNAP. Each question is marked with the exams it suits. Answer it, then open the step-by-step solution.
| 2021 | 2022 | 2023 | 2024 | |
|---|---|---|---|---|
| Unit A | 300 | 325 | 355 | 405 |
| Unit D | 300 | 330 | 345 | 370 |
| Unit E | 110 | 145 | 135 | 105 |
| Unit B | 290 | 265 | 240 | 230 |
| Unit C | 190 | 235 | 255 | 305 |
Questions 1–4 are based on this data.
In how many of the four years was the profit of Unit E more than that of Unit D?
Compare year by year: 2021: 110 vs 300; 2022: 145 vs 330; 2023: 135 vs 345; 2024: 105 vs 370.
Unit E is higher in 0 years.
Which one had the largest increase in profit from 2022 to 2023?
Increases: Unit A +30; Unit D +15; Unit E -10; Unit B -25; Unit C +20.
The largest is Unit A (+30).
What was the average profit per unit in 2022?
Total in 2022 = 325 + 330 + 145 + 265 + 235 = 1300.
Average = 1300/5 = 260.
What is the ratio of the total profit of Unit C to that of Unit E over the four years?
Unit C: 190 + 235 + 255 + 305 = 985.
Unit E: 110 + 145 + 135 + 105 = 495.
Ratio = 985 : 495 = 197 : 99.
| Head | Share (%) |
|---|---|
| Food | 30 |
| Rent | 20 |
| Education | 15 |
| Transport | 15 |
| Health | 10 |
| Savings | 10 |
Questions 5–8 are based on this data.
In Year 2, what was the difference between the amounts spent on Education and Food?
Difference in share = 15%.
15% of Rs. 1,100,000 = Rs. 165,000.
How much was spent on Education in Year 1?
15% of Rs. 1,000,000 = Rs. 150,000.
If the break-up were drawn as a pie chart, what angle would Transport take?
Angle = 15% of 360° = 54°.
The amount spent on Rent is what percentage of the amount spent on Health?
Since both are shares of the same total: 20/10 × 100 = 200%.
| 2020 | 2021 | 2022 | 2023 | |
|---|---|---|---|---|
| Delta | 140 | 145 | 125 | 120 |
| Sigma | 190 | 170 | 155 | 185 |
| Gamma | 240 | 245 | 285 | 290 |
| Alpha | 110 | 100 | 90 | 115 |
| Beta | 150 | 175 | 200 | 235 |
Questions 9–12 are based on this data.
What was the average revenue per company in 2020?
Total in 2020 = 140 + 190 + 240 + 110 + 150 = 830.
Average = 830/5 = 166.
Which one had the largest increase in revenue from 2022 to 2023?
Increases: Delta -5; Sigma +30; Gamma +5; Alpha +25; Beta +35.
The largest is Beta (+35).
By what percentage did the revenue of Sigma change from 2020 to 2023? (Correct to one decimal place; a negative value means a fall.)
Sigma: 190 in 2020, 185 in 2023.
Change = (185 − 190)/190 × 100 ≈ -2.6%.
In how many of the four years was the revenue of Gamma more than that of Beta?
Compare year by year: 2020: 240 vs 150; 2021: 245 vs 175; 2022: 285 vs 200; 2023: 290 vs 235.
Gamma is higher in 4 years.
| Head | Share (%) |
|---|---|
| Salaries | 30 |
| Rent | 10 |
| Marketing | 10 |
| Travel | 25 |
| Utilities | 10 |
| Others | 15 |
Questions 13–16 are based on this data.
By how much did the amount spent on Marketing rise from Year 1 to Year 2?
Total rose by Rs. 100 lakh (25%).
Marketing is 10% of it: Rs. 10 lakh.
How much was spent on Rent in Year 1?
10% of Rs. 400 lakh = Rs. 40 lakh.
In Year 2, what was the difference between the amounts spent on Marketing and Others?
Difference in share = 5%.
5% of Rs. 500 lakh = Rs. 25 lakh.
The amount spent on Rent is what percentage of the amount spent on Salaries?
Since both are shares of the same total: 10/30 × 100 = 33.3%.
| College | Science | Commerce | Arts | Girls (fraction) |
|---|---|---|---|---|
| College P | 100 | 100 | 150 | 2/5 |
| College Q | 140 | 100 | 110 | 3/5 |
| College R | 80 | 100 | 150 | 3/5 |
| College S | 80 | 150 | 180 | 1/2 |
Questions 17–20 are based on this data.
What percentage of all Commerce students are in College Q?
Commerce students in all = 450.
College Q has 100: 100/450 × 100 = 22.2%.
How many boys study in College Q?
Total = 140 + 100 + 110 = 350.
Girls = 3/5 × 350 = 210; boys = 140.
Which college has the most students?
Totals: College P 350; College Q 350; College R 330; College S 410.
The largest is College S.
How many girls are there in the four colleges together?
Girls in each college: 2/5 × 350 = 140; 3/5 × 350 = 210; 3/5 × 330 = 198; 1/2 × 410 = 205.
Total = 753.
| 2019 | 2020 | 2021 | 2022 | |
|---|---|---|---|---|
| Kolhapur | 180 | 150 | 155 | 200 |
| Pune | 190 | 195 | 245 | 255 |
| Nashik | 180 | 210 | 245 | 265 |
| Aurangabad | 260 | 260 | 285 | 260 |
| Nagpur | 280 | 255 | 250 | 225 |
Questions 21–24 are based on this data.
What is the ratio of the total profit of Kolhapur to that of Nagpur over the four years?
Kolhapur: 180 + 150 + 155 + 200 = 685.
Nagpur: 280 + 255 + 250 + 225 = 1010.
Ratio = 685 : 1010 = 137 : 202.
By what percentage did the profit of Aurangabad change from 2019 to 2022? (Correct to one decimal place; a negative value means a fall.)
Aurangabad: 260 in 2019, 260 in 2022.
Change = (260 − 260)/260 × 100 = 0%.
What was the average profit per branch in 2022?
Total in 2022 = 200 + 255 + 265 + 260 + 225 = 1205.
Average = 1205/5 = 241.
In how many of the four years was the profit of Pune more than that of Nashik?
Compare year by year: 2019: 190 vs 180; 2020: 195 vs 210; 2021: 245 vs 245; 2022: 255 vs 265.
Pune is higher in 1 year.
These are original practice questions written by Target Campus in the pattern and difficulty of MAH MBA CET, NMAT, SNAP and other MBA entrance tests. They are not previous-year papers.
Preparing for MAH CET, NMAT, SNAP or CAT? Courses, live classes and mocks by Dr. Kiran Derle at Target Campus.
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