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03 Nov 2022, 05:58
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
89% (00:55) correct
11%
(01:24)
wrong
based on 133
sessions
History
Date
Time
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Not Attempted Yet
A raincoat and an umbrella cost a total of $53.50. What is the cost of the raincoat?
(1) If the cost of the raincoat were to increase by 10 percent, the raincoat and the umbrella would cost a total of $58.00.
(2) The cost of the raincoat is $2.50 more than 5 times the cost of the umbrella.
(1) If the cost of the raincoat were to increase by 10 percent, the raincoat and the umbrella would cost a total of $58.00.
(2) The cost of the raincoat is $2.50 more than 5 times the cost of the umbrella.
04 Nov 2022, 10:47
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Bunuel
Solution:
Pre Analysis:
- Let the price of the raincoat and umbrella be r and u respectively
- Thus, according to the question stem, \(r+u=53.50\)
- We are asked the value of \(r\)
Statement 1: If the cost of the raincoat were to increase by 10 percent, the raincoat and the umbrella would cost a total of $58.00
- According to this statement, \(1.1r+u=58\)
\(⇒0.1r+r+u=58\)
\(⇒0.1r+53.5=58\)
\(⇒0.1r=58-53.5\) - From this, we can easily get the value of r
- Thus, statement 1 alone is sufficient and we can eliminate options B, C and E
Statement 2: The cost of the raincoat is $2.50 more than 5 times the cost of the umbrella
- According to this statement, \(r=5u+2.5\) which we can plug in \(r+u=53.50\) to get the value of r
- Thus, statement 2 alone is also sufficient
Hence the right answer is Option D
26 Jul 2024, 11:32
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