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30 Oct 2019, 23:27
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
77% (01:32) correct
23%
(01:31)
wrong
based on 126
sessions
History
Date
Time
Result
Not Attempted Yet
An assembly machine was valued (4/5)th of the original price at the start of the year, and in the end of the year, it was value (3/4)th of the original price. By what percent did the value of the machine decrease during the year?
(A) 5%
(B) 6.25%
(C) 7.50%
(D) 10%
(E) 12%
(A) 5%
(B) 6.25%
(C) 7.50%
(D) 10%
(E) 12%
Archit3110
Major Poster
31 Oct 2019, 02:10
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Bunuel
let original price = 20
so start of year = 16
end of year = 15
% ∆ ; 1/16 = 6.25%
IMO B
31 Oct 2019, 06:19
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Solution
Given
- • An assembly machine was valued (4/5)th of the original price at the start of the year
• At the end of the year, it was value (3/4)th of the original price
To find
- • The percent by which the value of the machine decreased during the year.
Approach and Working out
- • Value of machine in starting of the year = (4/5)th of the original price = 0.8 × original price
• Value of machine at the end of the year = (3/4)th of the original price = 0.75 × original price
Percent decrease = decrease/ value of machine in the starting
- • = 0.05 × original price /0.8 × original price
• = 0.05 /0.8 = 5/80 = 6.25%
Thus, option B is the correct answer.
Correct Answer: Option B
