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Read the passage below and solve the questions based on it, A shop has the following discount layers 1st layer - Buy Jn get 2 free. 2nd layer - Buy 2, get 3 free. 3rd layer - Buy 3, gel 4 free And so on there are infinite layers on the same pattern
Q.
For how many of these discount layers discount percentage offered is more than 50%?
  • a)
    4
  • b)
    27
  • c)
    99
  • d)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Read the passage below and solve the questions based on it, A shop has...
Since in all these cases, more articles are given free than the purchased article, so the net discount is more than 50%. Hence in all these layers, the discount offered is more than 50%. (If the articles given free is equal to the articles purchased, discount percentage will be equal to 50%).
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Most Upvoted Answer
Read the passage below and solve the questions based on it, A shop has...
Analysis:
To determine the number of discount layers where the discount percentage is more than 50%, we need to understand the pattern and calculate the discount percentage for each layer.

Pattern:
The shop offers a progressive discount pattern, where for each layer, the number of items you buy determines the number of items you get for free. The pattern is as follows:
- 1st layer: Buy 1, get 2 free.
- 2nd layer: Buy 2, get 3 free.
- 3rd layer: Buy 3, get 4 free.
- And so on, with infinite layers following the same pattern.

Calculating Discount Percentage:
To calculate the discount percentage, we need to determine the ratio of the free items to the total items. Let's calculate the discount percentage for each layer:

Layer 1:
- Buy 1, get 2 free.
- Total items = 1+2 = 3
- Free items = 2
- Discount percentage = (Free items / Total items) * 100 = (2/3) * 100 = 66.67%

Layer 2:
- Buy 2, get 3 free.
- Total items = 2+3 = 5
- Free items = 3
- Discount percentage = (Free items / Total items) * 100 = (3/5) * 100 = 60%

Layer 3:
- Buy 3, get 4 free.
- Total items = 3+4 = 7
- Free items = 4
- Discount percentage = (Free items / Total items) * 100 = (4/7) * 100 = 57.14%

Continuing the Pattern:
By analyzing the pattern, we can observe that the discount percentage gradually decreases as the number of items increases. Eventually, it will approach but never exceed 50%. This is because the shop is giving away more items for free as the number of items bought increases, resulting in a lower discount percentage.

No discount layer with a percentage over 50%:
Therefore, based on the pattern and calculations, we can conclude that there are no discount layers where the discount percentage offered is more than 50%. Hence, the correct answer is option 'D' - None of these.
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Read the passage below and solve the questions based on it, A shop has the following discount layers 1st layer - Buy Jn get 2 free. 2nd layer - Buy 2, get 3 free. 3rd layer - Buy 3, gel 4 free And so on there are infinite layers on the same patternQ.For how many of these discount layers discount percentage offered is more than 50%?a)4b)27c)99d)None of theseCorrect answer is option 'D'. Can you explain this answer?
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