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24 Jan 2026, 09:15
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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:
74% (01:59) correct
26%
(02:01)
wrong
based on 72
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The price of car A increased by 20 percent over the same time period that the price of car B decreased by 20 percent. The reduced price of car B was what percent of the original price of car A?
(1) The increased price of car A is equal to the original price of car B.
(2) The increase in price of car A was 5/6 the decrease in the price of car B.
(1) The increased price of car A is equal to the original price of car B.
(2) The increase in price of car A was 5/6 the decrease in the price of car B.
26 Jan 2026, 05:08
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The price of car A increased by 20 percent over the same time period that the price of car B decreased by 20 percent. The reduced price of car B was what percent of the original price of car A?
(1) The increased price of car A is equal to the original price of car B.
(2) The increase in price of car A was 5/6 the decrease in the price of car B.
Let the original price of A be 'A', and the original price of B be 'B'.
Over the given time period:
New price of A = 1.2A and new price of B = 0.8B
We need to find out the value of (0.8B/A)*100.
Now, let's look at each statement individually and then at both of them together (if required):
Statement 1: The increased price of car A is equal to the original price of car B.
According to this statement, 1.2A = B
Thus, B/A = 1.2, and so, the required percentage = 96%
Hence, we can uniquely determine the answer using Statement 1 alone.
Now, let's take a look at Statement 2 closely:
Statement 2: The increase in price of car A was 5/6 the decrease in the price of car B.
1/5 A = 5/6 * 1/5 B
Thus, B/A = 6/5 = 1.2, and so, the required percentage obtained here too is 96%, and so, we can uniquely determine the answer using Statement 2 alone.
Hence, the correct answer is Option D - Each statement alone is sufficient.
(1) The increased price of car A is equal to the original price of car B.
(2) The increase in price of car A was 5/6 the decrease in the price of car B.
Let the original price of A be 'A', and the original price of B be 'B'.
Over the given time period:
New price of A = 1.2A and new price of B = 0.8B
We need to find out the value of (0.8B/A)*100.
Now, let's look at each statement individually and then at both of them together (if required):
Statement 1: The increased price of car A is equal to the original price of car B.
According to this statement, 1.2A = B
Thus, B/A = 1.2, and so, the required percentage = 96%
Hence, we can uniquely determine the answer using Statement 1 alone.
Now, let's take a look at Statement 2 closely:
Statement 2: The increase in price of car A was 5/6 the decrease in the price of car B.
1/5 A = 5/6 * 1/5 B
Thus, B/A = 6/5 = 1.2, and so, the required percentage obtained here too is 96%, and so, we can uniquely determine the answer using Statement 2 alone.
Hence, the correct answer is Option D - Each statement alone is sufficient.
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