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20 Jan 2026, 05:45
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Difficulty:
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Question Stats:
79% (01:15) correct
21%
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based on 43
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If, for an office, the total expenditure for computers, software, and printers was $54,000, what was the expenditure on computers?
(1) The expenditures for printers were 30 percent greater than the expenditures for software.
(2) The total of the expenditures for software and printers was 65 percent less than the expenditures for computers.
(1) The expenditures for printers were 30 percent greater than the expenditures for software.
(2) The total of the expenditures for software and printers was 65 percent less than the expenditures for computers.
21 Jan 2026, 02:34
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If, for an office, the total expenditure for computers, software, and printers was $54,000, what was the expenditure on computers?
(1) The expenditures for printers were 30 percent greater than the expenditures for software.
(2) The total of the expenditures for software and printers was 65 percent less than the expenditures for computers.
Let the expenditure for printers be P, that for software be S and computers be C.
Given: C+S+P = $54,000
We need to find the value of C here.
Let's look at each statement individually and then at both of them together (if required):
Statement 1: The expenditures for printers were 30 percent greater than the expenditures for software.
P = 1.3 S
Thus, C+S+1.3S = $54,000
=> C+2.3S = $54,000
We cannot obtain any such unique value for C using the above equation, hence Statement 1 is insufficient alone.
Statement 2: The total of the expenditures for software and printers was 65 percent less than the expenditures for computers.
=> S+P = 0.35 C
As C+S+P = $54,000:
=> C+0.35C = 1.35C = $54,000
Thus, C = $40,000
Hence, using Statement 2 alone, we can uniquely determine the value of C.
Therefore, the correct answer should be Option B - Statement 2 sufficient, 1 insufficient
(1) The expenditures for printers were 30 percent greater than the expenditures for software.
(2) The total of the expenditures for software and printers was 65 percent less than the expenditures for computers.
Let the expenditure for printers be P, that for software be S and computers be C.
Given: C+S+P = $54,000
We need to find the value of C here.
Let's look at each statement individually and then at both of them together (if required):
Statement 1: The expenditures for printers were 30 percent greater than the expenditures for software.
P = 1.3 S
Thus, C+S+1.3S = $54,000
=> C+2.3S = $54,000
We cannot obtain any such unique value for C using the above equation, hence Statement 1 is insufficient alone.
Statement 2: The total of the expenditures for software and printers was 65 percent less than the expenditures for computers.
=> S+P = 0.35 C
As C+S+P = $54,000:
=> C+0.35C = 1.35C = $54,000
Thus, C = $40,000
Hence, using Statement 2 alone, we can uniquely determine the value of C.
Therefore, the correct answer should be Option B - Statement 2 sufficient, 1 insufficient
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