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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
75% (01:14) correct
25%
(01:13)
wrong
based on 67
sessions
History
Date
Time
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Not Attempted Yet
At what price was the article sold?
(1) The article was sold at 10 percent profit.
(2) Had the article been sold for $150 more than what it was sold, the profit would have been 12 percent
(1) The article was sold at 10 percent profit.
(2) Had the article been sold for $150 more than what it was sold, the profit would have been 12 percent
01 Feb 2026, 23:07
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At what price was the article sold?
(1) The article was sold at 10 percent profit.
(2) Had the article been sold for $150 more than what it was sold, the profit would have been 12 percent
Let's look at each statement individually and then at both of them together (if required):
Statement 1: The article was sold at 10 percent profit.
Let the Cost Price of the article be CP. As the article was sold at 10 percent profit => SP = 1.1 CP
However, as we have no values of CP or SP given, we would not be able to calculate the price at which the article was sold (SP) using this alone. Hence, Statement 1 is insufficient alone.
Now, let's take a look at Statement 2 closely:
Statement 2: Had the article been sold for $150 more than what it was sold, the profit would have been 12 percent
Let the actual selling price of the article be SP, and the new selling price of the article be SP' => SP' = SP+150
Profit% = (SP-CP)/CP * 100
Thus,
((SP+150)-CP)/CP = 12/100
However, in this case as well, no information about the values of SP or CP is given. Hence, Statement 2 is insufficient alone.
Now, let's look at the combination of both the statements together:
SP = 1.1 CP
((SP+150) - CP)/CP = 12/100
(1.1 CP+150 - CP)/CP = 12/100
0.1 CP+150 = 0.12 CP
150 = 0.02 CP
Thus, CP = 7500
=> SP = 1.1 CP => 1.1*7500 = $8,250
Hence, the correct answer is Option C - BOTH statements together are sufficient, but NEITHER statement alone is sufficient.
Hope this helps!
(1) The article was sold at 10 percent profit.
(2) Had the article been sold for $150 more than what it was sold, the profit would have been 12 percent
Let's look at each statement individually and then at both of them together (if required):
Statement 1: The article was sold at 10 percent profit.
Let the Cost Price of the article be CP. As the article was sold at 10 percent profit => SP = 1.1 CP
However, as we have no values of CP or SP given, we would not be able to calculate the price at which the article was sold (SP) using this alone. Hence, Statement 1 is insufficient alone.
Now, let's take a look at Statement 2 closely:
Statement 2: Had the article been sold for $150 more than what it was sold, the profit would have been 12 percent
Let the actual selling price of the article be SP, and the new selling price of the article be SP' => SP' = SP+150
Profit% = (SP-CP)/CP * 100
Thus,
((SP+150)-CP)/CP = 12/100
However, in this case as well, no information about the values of SP or CP is given. Hence, Statement 2 is insufficient alone.
Now, let's look at the combination of both the statements together:
SP = 1.1 CP
((SP+150) - CP)/CP = 12/100
(1.1 CP+150 - CP)/CP = 12/100
0.1 CP+150 = 0.12 CP
150 = 0.02 CP
Thus, CP = 7500
=> SP = 1.1 CP => 1.1*7500 = $8,250
Hence, the correct answer is Option C - BOTH statements together are sufficient, but NEITHER statement alone is sufficient.
Hope this helps!
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