A dishonest merchant professes to sell his article at Cost price but uses a faulty scale while selli...........

Quantitative Aptitude (SBI-CL) Data Sufficiency

A dishonest merchant professes to sell his article at Cost price but uses a faulty scale while selling. What is the profit percentage does the merchant make when he sells the article at Cost Price?

Statement I: The cost price of the article is Rs. 25 per kg.

Statement II: He uses a scale which weighs less by 20%

Statement III : If he had sold the articles at 20% profit on cost price then his net profit percentage would have been 50%.

Either Statements II or III alone is sufficient.

Only statement I is sufficient.

Only statement I and II together are sufficient.

Only statement I, II, and III together are sufficient.

None of these

Explanation:

From the statement I, we can conclude that the CP = 25
From the statement II, when he sells 100 units that time scale weighs only 80 units
Let the cp of one unit = Rs. 1 then the CP of 80 units = Rs. 80 and the SP of 80 units = Rs. 100
From here we can conclude the profit percentage as 25%. Here we need to calculate percentage value
so we don’t have need to exact cost price.
From the statement III, let he sells total 100 units. And the CP of one unit = Rs. 1
Then the SP of 100 units = 120% of 100 = 120 and the net profit percentage = 50% therefore, CP = 80 it
means he uses 20% less weight
If he had sold the article at CP then his profit would have been 25%
Hence, option A is correct.