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To attract more visitors, zoo authority announces 20% discount on every ticket which costs 25 paise. For this reason, sale off ticket increase by 28%. Find the percentage of increase in the number of visitors.
- a)40%
- b)50%
- c)60%
- d)No change
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
To attract more visitors, zoo authority announces 20% discount on ever...
Let the number of visitors in the begining=100 = Total revenue = .25×100 = Rs. 25
= Rs. .20 or 20 paise
= % change in number of visitors
= Rs. .20 or 20 paise
= % change in number of visitors
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Community Answer
To attract more visitors, zoo authority announces 20% discount on ever...
The given problem requires us to find the percentage increase in the number of visitors to the zoo after a discount is announced on the ticket prices. Let's break down the problem and solve it step by step.
Given:
- The zoo authority announces a 20% discount on every ticket.
- The original cost of each ticket is 25 paise.
- The sale of tickets increases by 28% after the discount is announced.
Step 1: Calculate the discounted price of each ticket
- The discount is 20% of the original cost of the ticket, which is 25 paise.
- Therefore, the discount amount is (20/100) * 25 paise = 5 paise.
- The discounted price of each ticket is the original price minus the discount, which is 25 paise - 5 paise = 20 paise.
Step 2: Calculate the percentage increase in the number of tickets sold
- The sale of tickets increases by 28% after the discount is announced.
- This means the number of tickets sold after the discount is 128% of the original number of tickets sold.
- Let's assume the original number of tickets sold is 100.
- The number of tickets sold after the discount is 128% of 100 = (128/100) * 100 = 128.
Step 3: Calculate the percentage increase in the number of visitors
- The percentage increase in the number of visitors can be calculated using the formula:
Percentage Increase = (New Value - Old Value) / Old Value * 100
- In this case, the old value is the original number of tickets sold (100) and the new value is the number of tickets sold after the discount (128).
- Percentage Increase = (128 - 100) / 100 * 100 = 28%
Therefore, the percentage increase in the number of visitors to the zoo after the discount is announced is 28%. However, the given options do not include this answer. So, the correct answer is not provided in the options.
Given:
- The zoo authority announces a 20% discount on every ticket.
- The original cost of each ticket is 25 paise.
- The sale of tickets increases by 28% after the discount is announced.
Step 1: Calculate the discounted price of each ticket
- The discount is 20% of the original cost of the ticket, which is 25 paise.
- Therefore, the discount amount is (20/100) * 25 paise = 5 paise.
- The discounted price of each ticket is the original price minus the discount, which is 25 paise - 5 paise = 20 paise.
Step 2: Calculate the percentage increase in the number of tickets sold
- The sale of tickets increases by 28% after the discount is announced.
- This means the number of tickets sold after the discount is 128% of the original number of tickets sold.
- Let's assume the original number of tickets sold is 100.
- The number of tickets sold after the discount is 128% of 100 = (128/100) * 100 = 128.
Step 3: Calculate the percentage increase in the number of visitors
- The percentage increase in the number of visitors can be calculated using the formula:
Percentage Increase = (New Value - Old Value) / Old Value * 100
- In this case, the old value is the original number of tickets sold (100) and the new value is the number of tickets sold after the discount (128).
- Percentage Increase = (128 - 100) / 100 * 100 = 28%
Therefore, the percentage increase in the number of visitors to the zoo after the discount is announced is 28%. However, the given options do not include this answer. So, the correct answer is not provided in the options.
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To attract more visitors, zoo authority announces 20% discount on every ticket which costs 25 paise. For this reason, sale off ticket increase by 28%. Find the percentage of increase in the number of visitors.a)40%b)50%c)60%d)No changeCorrect answer is option 'C'. Can you explain this answer?
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