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Question

Logical Reasoning Question on Data Sufficiency

The question is followed by three statements. You have to study the question and all the three statements given and decide whether any information provided in the statements) is redundant and can be dispensed with while answering the question.
An article is sold at 12%12\% discount. Find the %\% gain.
A. If the article had been sold for Rs.120 less, there would have been no profit no loss.
B. Had the article been sold for Rs.30 more, the gain would have been 12.5%\%
C. Cost price of the article is Rs.1,200.

A

Any two of them

B

Only C

C

Either A or B only

D

Any of them

Answer

Any of them

Explanation

Solution

To determine the percentage gain on the article, we analyze the statements:
Statement A: Selling the article for Rs. 120 less results in no profit or loss, indicating the selling price at that point.
Statement B: Selling the article for Rs. 30 more yields a 12.5% gain, providing a selling price and percentage gain.
Statement C: The cost price is Rs. 1,200, essential for calculating percentage gain
Combinations:
Combination (1): Any two statements do not provide enough information for percentage gain.
Combination (2): Statement C alone lacks selling price info.
Combination (3): Combining A or B with C allows calculation of the percentage gain.
Combination (4): Using all three statements provides complete information to calculate the percentage gain.
So, the correct option is (D) Any of them.