The price of a certain item is increased by 10%, and then the new price is increased by an additional 5%. The current price of the item is what percent of the original price?4 Mark For ReviewA) 115%B) 115.5%C) 117%D) 119.5%
Question
The price of a certain item is increased by 10%, and then the new price is increased by an additional 5%. The current price of the item is what percent of the original price?4 Mark For ReviewA) 115%B) 115.5%C) 117%D) 119.5%
Solution 1
Let's break this down:
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The original price of the item is increased by 10%. If we assume the original price to be 100 (for simplicity), after a 10% increase, the new price would be 110.
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This new price is then increased by an additional 5%. To calculate this, we find 5% of 110, which is 5.5.
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We then add this 5.5 to the 110 to get the final price. This comes out to be 115.5.
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Therefore, the current price of the item is 115.5% of the original price.
So, the answer is B) 115.5%.
Solution 2
Let's break this down:
-
The original price of the item is increased by 10%. If we assume the original price to be 100 (for simplicity), after a 10% increase, the new price would be 110 (100 + 10% of 100).
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This new price is then increased by an additional 5%. So, 5% of 110 is 5.5. Adding this to 110 gives us 115.5.
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Therefore, the current price of the item is 115.5% of the original price.
So, the answer is B) 115.5%.
Similar Questions
The price of an item was increased by 10% and is now $77. Find the original price .
<p>To find the percentage increase in price, follow these steps:</p> <ol> <li> <p>First, find the increase in price by subtracting the original price from the new price. In this case, $55.25 (new price) - $50 (original price) = $5.25.</p> </li> <li> <p>Next, divide the increase in price by the original price. So, $5.25 (increase in price) ÷ $50 (original price) = 0.105.</p> </li> <li> <p>Finally, to convert this number into a percentage, multiply by 100. So, 0.105 x 100 = 10.5%.</p> </li> </ol> <p>Therefore, the percentage increase in price is 10.5%.</p> ####
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