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 In a survey done by a committee, it was found that 4000 people have smoking habit. After a month this number rose by 5%. However due to continuous advices given by the committee to the people, the number reduced by 5% in the next month and further by 10% in the next month. What is the total number of smokers after 3 months?
  • a)
    3457
  • b)
    3491
  • c)
    3578
  • d)
    3591
  • e)
    3500
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In a survey done by a committee, it was found that 4000 people have sm...
D) 3591
Explanation: Number of smokers after 3 months will be = 4000 * (1 + (5/100)) (1 – (5/100)) (1 – (10/100))
= 3591
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Most Upvoted Answer
In a survey done by a committee, it was found that 4000 people have sm...
Given:
- Initially, there are 4000 people with a smoking habit.
- The number of smokers increased by 5% after the first month.
- The number of smokers decreased by 5% in the second month.
- The number of smokers further decreased by 10% in the third month.

To Find:
- The total number of smokers after 3 months.

Solution:
Step 1: Number of Smokers after the first month
- The number of smokers increased by 5% after the first month.
- Increase of 5% can be calculated as follows:
Increase = (5/100) * 4000 = 200
- The total number of smokers after the first month = 4000 + 200 = 4200

Step 2: Number of Smokers after the second month
- The number of smokers decreased by 5% in the second month.
- Decrease of 5% can be calculated as follows:
Decrease = (5/100) * 4200 = 210
- The total number of smokers after the second month = 4200 - 210 = 3990

Step 3: Number of Smokers after the third month
- The number of smokers further decreased by 10% in the third month.
- Decrease of 10% can be calculated as follows:
Decrease = (10/100) * 3990 = 399
- The total number of smokers after the third month = 3990 - 399 = 3591

Conclusion:
- The total number of smokers after 3 months is 3591.
- Therefore, the correct answer is option D) 3591.
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Community Answer
In a survey done by a committee, it was found that 4000 people have sm...
D) 3591
Explanation: Number of smokers after 3 months will be = 4000 * (1 + (5/100)) (1 – (5/100)) (1 – (10/100))
= 3591
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In a survey done by a committee, it was found that 4000 people have smoking habit. After a month this number rose by 5%. However due to continuous advices given by the committee to the people, the number reduced by 5% in the next month and further by 10% in the next month. What is the total number of smokers after 3 months?a)3457b)3491c)3578d)3591e)3500Correct answer is option 'D'. Can you explain this answer?
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