Question:
In a survey, 60% of people prefer tea, and 40% prefer coffee. If 30% of tea drinkers and 50% of coffee drinkers add sugar, how many people add sugar if 200 people were surveyed?
In a survey, 60% of people prefer tea, and 40% prefer coffee. If 30% of tea drinkers and 50% of coffee drinkers add sugar, how many people add sugar if 200 people were surveyed?
Show Hint
Calculate each category’s contribution and sum for the total in percentage problems.
Updated On: Jul 29, 2025
- 64
- 68
- 72
- 76
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
- Step 1: Tea drinkers = $0.6 \times 200 = 120$. Coffee drinkers = $0.4 \times 200 = 80$.
- Step 2: Tea with sugar = $0.3 \times 120 = 36$. Coffee with sugar = $0.5 \times 80 = 40$.
- Step 3: Total with sugar = $36 + 40 = 76$.
- Step 4: Verify: Tea without sugar = $120 - 36 = 84$, Coffee without sugar = $80 - 40 = 40$. Total = $84 + 36 + 40 + 40 = 200$.
- Step 5: Check options: Option (3) is 72, recalculate: $36 + 40 = 76$. Option (4) matches.
- Step 6: Option (4) is correct (typo in correct answer adjusted).
- Step 2: Tea with sugar = $0.3 \times 120 = 36$. Coffee with sugar = $0.5 \times 80 = 40$.
- Step 3: Total with sugar = $36 + 40 = 76$.
- Step 4: Verify: Tea without sugar = $120 - 36 = 84$, Coffee without sugar = $80 - 40 = 40$. Total = $84 + 36 + 40 + 40 = 200$.
- Step 5: Check options: Option (3) is 72, recalculate: $36 + 40 = 76$. Option (4) matches.
- Step 6: Option (4) is correct (typo in correct answer adjusted).
Was this answer helpful?
0
0
Top Questions on Ratios and Percentages
- In a survey, 70% of 100 people like Product X, and 60% like Product Y. If 50% like both, how many like only Product X?
- CAT - 2014
- Data Interpretation & Logical Reasoning (DILR)
- Ratios and Percentages
- A company has 3 departments: HR, IT, and Sales. The number of employees in HR, IT, and Sales are in the ratio 2:3:5. If the total number of employees is 100, how many employees are in the Sales department?
- CAT - 2014
- Data Interpretation & Logical Reasoning (DILR)
- Ratios and Percentages
- In a class, 60% of students are boys. If 40% of boys and 50% of girls passed an exam, and 48 students passed, how many students are in the class?
- CAT - 2014
- Data Interpretation & Logical Reasoning (DILR)
- Ratios and Percentages
- There are 938 players played cricket in the world and some of them are played different-different leagues APL, BPL, and CPL in the world. There are 56 \(\frac{8}{7}\) % of players who do not play in any league.BPL has 4 more players as compare to CPL and APL have 22 players less than the CPL. The ratio between the players who play in only APL & CPL together to the players who play only BPL & CPL together is 3 : 2. The total number of players who play only in APL and BPL is equal to the sum of the players who play in only APL & CPL together and BPL & CPL together. The total number of players who play in all three leagues is 99 less than to the players who play in BPL. 40% of the players who play in all three leagues are playing in APL and CPL together. Answers the given questions based on the above information.
- CAT
- Data Interpretation & Logical Reasoning (DILR)
- Ratios and Percentages
- Answer the questions based on the information given below.
The table given below shows the total number of towels sold by a shopkeeper from Monday to Friday. Some data are given while some are missing in the table.
Note : Total number of towels sold = Number of small sized, medium sized and large sized towels sold on the particular day.Days Total number of towels sold Ratio of large to small sized towels sold Percentage of Medium sized towels Difference between the number of large sized and small sized towels sold Monday 950 3 : 1 20% - Tuesday 900 3 : 2 - 90 Wednesday - 5 : 4 25% 70 Thursday 750 - 20% 40 Friday - 4 : 3 40% 90 - CAT
- Data Interpretation & Logical Reasoning (DILR)
- Ratios and Percentages
View More Questions
Questions Asked in CAT exam
- A circular plot of land is divided into two regions by a chord of length $10\sqrt{3}$ meters such that the chord subtends an angle of $120^\circ$ at the center. Then, the area, in square meters, of the smaller region is
- CAT - 2024
- Mensuration
- For some constant real numbers p, k and a, consider the following system of linear equations in x and y:
px - 4y = 2
3x + ky = a
A necessary condition for the system to have no solution for (x, y), is- CAT - 2024
- System of Linear Equations
- When 3333 is divided by 11, the remainder is
- CAT - 2024
- Divisibility and Remainder
- Five jumbled up sentences (labelled 1, 2, 3, 4 and 5), related to a topic, are given below. Four of them can be put together to form a coherent paragraph. Identify the odd sentence and key in the number of that sentence as your answer.
- CAT - 2024
- Para Jumbles
- The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.
Scientific research shows that many animals are very intelligent and have sensory and motor abilities that dwarf ours. Dogs are able to detect diseases such as cancer and diabetes and warn humans of impending heart attacks and strokes. Elephants, whales, hippopotamuses, giraffes, and alligators use low-frequency sounds to communicate over long distances, often miles. Many animals also display wide-ranging emotions, including joy, happiness, empathy, compassion, grief, and even resentment and embarrassment. It’s not surprising that animals share many emotions with us because we also share brain structures, located in the limbic system, that are the seat of our emotions.- CAT - 2024
- Para Summary
View More Questions