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Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. A dishonest shopkeeper professes to sell his articles at a cost price but uses a faulty scale while selling. What is the profit percentage the shopkeeper makes when he sells the article at a cost price? Statement I. He uses a scale that weighs less by 25%. Statement II. The cost price of the article is Rs. 30 per kg. Statement III. If he has sold the articles at a 12.5% profit on cost price then his net profit percentage would have been 50%.

Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. A dishonest shopkeeper professes to sell his articles at a cost price but uses a faulty scale while selling. What is the profit percentage the shopkeeper makes when he sells the article at a cost price? Statement I. He uses a scale that weighs less by 25%. Statement II. The cost price of the article is Rs. 30 per kg. Statement III. If he has sold the articles at a 12.5% profit on cost price then his net profit percentage would have been 50%. Correct Answer The data in statement I or III alone is sufficient to answer the question.

Calculation:

For Statement I:

When he sells 100 units then scale weighs only 75 units.

Let CP of 1 unit = 1 then CP of 75 units = Rs. 75

SP of 75 units = Rs. 100

∴ we conclude that a profit of 33.33%. As we don’t have to find the value so CP is not necessary.

Statement I alone is sufficient to answer the question.

For statement II:

We can conclude that C.P = 30

Statement II alone is not sufficient to answer the question.

For statement III:

Let CP of 1 unit = 1

Then the SP of 100 units = 112.5% of 100 and net percentage = 50% therefore, CP = 75 it means he uses 25% less weight

As he sold his article at CP then his profit is 33.33%.

Statement III alone is sufficient to answer the question.

Statement I or III alone are sufficient.

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