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The price of an article increased successively over three consecutive weeks. In first week, it increase by 20%, in second week it increases by 40% and in the third week it increases by 50%. Find the effective percentage increase in its price after three weeks.?
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The price of an article increased successively over three consecutive ...
The Price Increase Over Three Consecutive Weeks

To find the effective percentage increase in the price of an article after three consecutive weeks, we need to calculate the cumulative increase in price. Let's break down the problem into three parts and calculate the increase in each week.

Week 1: 20% increase
In the first week, the price of the article increases by 20%. This means the price is now 100% + 20% = 120% of its original price.

Week 2: 40% increase
In the second week, the price of the article increases by 40%. This means the price is now 100% + 40% = 140% of its price after the first week.

To find the new price after the second week, we multiply the price after the first week by 140%:
New price = 120% × 140% = 168% of the original price.

Week 3: 50% increase
In the third week, the price of the article increases by 50%. This means the price is now 100% + 50% = 150% of its price after the second week.

To find the new price after the third week, we multiply the price after the second week by 150%:
New price = 168% × 150% = 252% of the original price.

The Effective Percentage Increase:
To find the effective percentage increase in the price after three weeks, we need to calculate the percentage increase from the original price to the new price after the third week.

The effective percentage increase can be calculated using the following formula:
Effective percentage increase = ((New price - Original price) / Original price) × 100%

Substituting the values, we have:
Effective percentage increase = ((252% - 100%) / 100%) × 100%
= (152% / 100%) × 100%
= 152%

Therefore, the effective percentage increase in the price of the article after three consecutive weeks is 152%.
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