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If the price of an article rose by 25% every odd year and fell by 20% every even year, what would be the percentage change after 180 years?
- a)10% increase
- b)25% increase
- c)No change
- d)20% decrease
Correct answer is 'C'. Can you explain this answer?
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Verified Answer
If the price of an article rose by 25% every odd year and fell by 20% ...
Let the original price = Rs 100
Price after 1st year = Rs 125
Price after 2nd year = Rs 100
Hence, after 180 year, there will be no change in the price
Most Upvoted Answer
If the price of an article rose by 25% every odd year and fell by 20% ...
Solution:
Let's assume the original price of the article to be $100.
After the first year, the price of the article will increase by 25%, making it $125.
After the second year, the price of the article will decrease by 20%, making it $100.
After every odd year, the price will increase by 25%, and after every even year, the price will decrease by 20%.
Therefore, after the third year, the price will be $156.25.
After the fourth year, the price will be $125.
After the fifth year, the price will be $195.31.
After the sixth year, the price will be $156.25.
We can observe a pattern here. The price of the article after every four years is the same.
After 4 years, the price is $125.
After 8 years, the price is $125.
After 12 years, the price is $125.
And so on.
Therefore, we can conclude that after every 4 years, the price of the article remains the same.
After 180 years, there will be 45 cycles of 4 years each.
Therefore, the price of the article after 180 years will be the same as its original price of $100.
Hence, there will be no change in the price of the article after 180 years.
Therefore, the correct answer is option (c) No change.
Let's assume the original price of the article to be $100.
After the first year, the price of the article will increase by 25%, making it $125.
After the second year, the price of the article will decrease by 20%, making it $100.
After every odd year, the price will increase by 25%, and after every even year, the price will decrease by 20%.
Therefore, after the third year, the price will be $156.25.
After the fourth year, the price will be $125.
After the fifth year, the price will be $195.31.
After the sixth year, the price will be $156.25.
We can observe a pattern here. The price of the article after every four years is the same.
After 4 years, the price is $125.
After 8 years, the price is $125.
After 12 years, the price is $125.
And so on.
Therefore, we can conclude that after every 4 years, the price of the article remains the same.
After 180 years, there will be 45 cycles of 4 years each.
Therefore, the price of the article after 180 years will be the same as its original price of $100.
Hence, there will be no change in the price of the article after 180 years.
Therefore, the correct answer is option (c) No change.
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Community Answer
If the price of an article rose by 25% every odd year and fell by 20% ...
Assume cp = 100 increase in cp 25% , sp = 120 decrease in sp is 20% of 120 , new sp = 100 after every two years this change is neutralize.
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If the price of an article rose by 25% every odd year and fell by 20% every even year, what would be the percentage change after 180 years?a)10% increaseb)25% increasec)No changed)20% decreaseCorrect answer is 'C'. Can you explain this answer?
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