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Question

Consider the given questions and decide which of the following statements is sufficient to answer the question.

How much was the sale of the company ABC?

Statements:

  1. The company ABC sold 75000 units of soaps each at Rs. 70/-
  2. ABC has no other products in the production line.

This question was previously asked in
RRB ALP 2018 CBT 2 Fitter Question Paper (21-Jan-2019) (Shift 3)
The correct answer is

Both 1 and 2 are sufficient to answer the questions.

Analyzing the Question: Company ABC Sale Sufficiency

The question asks us to determine the total sale amount of company ABC. We are given two statements and need to assess if either statement alone, or both together, are sufficient to answer this question.

Evaluating Statement 1: Units Sold and Price

Statement 1 provides specific data:

  • The company ABC sold 75000 units of soaps.
  • Each unit was sold at Rs. 70/-.

From this statement, we can calculate the total revenue generated specifically from the sale of soaps. The calculation would be:

Sale from soaps \[ = \text{Number of units sold} \times \text{Price per unit} \]

Sale from soaps \[ = 75000 \times 70 = 5250000 \text{ Rs.} \]

So, Statement 1 allows us to calculate the sale amount for soaps. However, the question asks for the total sale of the company ABC. Statement 1 alone does not tell us if soaps are the only product the company sells. If ABC sells other products, then the sale from soaps would only be a part of the total sale, not the total sale itself. Therefore, Statement 1 alone is not sufficient to answer the question about the total sale of company ABC.

Evaluating Statement 2: Product Line Information

Statement 2 provides information about the company's products:

  • ABC has no other products in the production line.

This statement tells us that soaps are the only product sold by company ABC. This is crucial information. However, Statement 2 alone provides no data about the number of units sold or the price of the product. Without this quantitative information, we cannot calculate any sale amount. Therefore, Statement 2 alone is not sufficient to answer the question about the total sale of company ABC.

Analyzing Both Statements Together

Now let's consider both statements together:

  • Statement 1: ABC sold 75000 units of soaps at Rs. 70/- each. (Allows calculating sale from soaps).
  • Statement 2: ABC has no other products. (Confirms soaps are the only product).

By combining these two statements, we know two key things:

  1. We can calculate the total sale generated from soaps using Statement 1.
  2. Statement 2 confirms that soaps are the only product the company sells, meaning the sale from soaps is the total sale of the company ABC.

Therefore, using both statements together, we can calculate the total sale of company ABC:

Total Sale of ABC \[ = \text{Sale from soaps} = 75000 \times 70 = 5250000 \text{ Rs.} \]

Since we can calculate the total sale amount using both statements combined, both statements together are sufficient to answer the question.

Conclusion on Statement Sufficiency

Based on the analysis:

  • Statement 1 alone is not sufficient.
  • Statement 2 alone is not sufficient.
  • Both Statement 1 and Statement 2 together are sufficient.

This leads us to the conclusion that both statements are needed to answer the question about the total sale of company ABC.

Revision Table: Company ABC Sale

Statement Information Provided Sufficient to Answer Question? Reason
1 alone Units sold (75000), Price per unit (Rs. 70) No Calculates sale from soaps, but doesn't confirm if soaps are the only product.
2 alone Soaps are the only product No Doesn't provide units sold or price to calculate sale amount.
Both 1 and 2 Units sold (75000), Price (Rs. 70), Only product is soap Yes Allows calculation of soap sale (from 1) and confirms this is total sale (from 2).

Additional Information: Data Sufficiency Concepts

Data sufficiency questions like this one test your ability to determine if the given information is adequate to solve a problem. You don't necessarily need to calculate the final answer, only determine if it's possible to calculate it with the given statements.

Key points in data sufficiency:

  • Analyze each statement independently first.
  • If neither statement alone is sufficient, then analyze both statements combined.
  • Do not carry information from one statement to the other when evaluating them individually.
  • Once you determine sufficiency, you can stop. You don't need to perform the calculation unless it helps confirm your logic.

In this problem regarding the company ABC sale, Statement 1 gave partial information (sale per product), and Statement 2 provided the context needed (no other products) to make the partial information complete for answering the main question (total sale).

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Important Questions from Data Sufficiency

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