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Bunuel
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Bunuel

Tough and Tricky questions: Word Problems.



What was the percent increase in the value of a certain antique from January 1, 1981, to December 31, 1981?

(1) The value of the antique on January 1, 1981, was $3,000.
(2) The value of the antique on December 31, 1981, was double the value of the antique on January 1,1981.

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St-1 not sufficient as value or ratio/percentage at Dec 31, 1981 is not present
St-2 is sufficient. Amount doubled means 100% increase.

Ans - B
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Bunuel

Tough and Tricky questions: Word Problems.



What was the percent increase in the value of a certain antique from January 1, 1981, to December 31, 1981?

(1) The value of the antique on January 1, 1981, was $3,000.
(2) The value of the antique on December 31, 1981, was double the value of the antique on January 1,1981.

Kudos for a correct solution.


1. We dont know the value on Dec 31 - Not sufficient to find the percent increase
2. Since it is double during the time frame, the percent increase is 100% - Sufficient

Ans B
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Bunuel

Tough and Tricky questions: Word Problems.



What was the percent increase in the value of a certain antique from January 1, 1981, to December 31, 1981?

(1) The value of the antique on January 1, 1981, was $3,000.
(2) The value of the antique on December 31, 1981, was double the value of the antique on January 1,1981.

Kudos for a correct solution.

Target question: What was the percent increase in the value of a certain antique from January 1, 1981, to December 31, 1981?

Percent increase = 100(new - old)/old
So, we can answer the target question if we have the OLD value and the NEW value.

Statement 1: The value of the antique on January 1, 1981, was $3,000.
Okay, so we have the OLD value, but we don't know the NEW value.
So, we don't have enough info to answer the target question
Statement 1 is NOT SUFFICIENT

Statement 2: The value of the antique on December 31, 1981, was double the value of the antique on January 1, 1981.
Although we aren't given specific numbers for the OLD value and NEW value, we still have enough information. Here's why:
Let x = the value of December 31, 1981
This means 2x = the value on January 1, 1981

When we apply the above formula, we get: percent increase = 100(2x - x)/x = 100x/x = 100
So, the answer to the target question is 100 percent
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: B

Cheers,
Brent
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