question is followed by two statements,1 and 2.indicate your response based on the following instructions. (a) if the question can be answered using one of the statement alone,but cannot be answered using the other statement alone, (b) if the question can be answered using either statement alone. (c) if the question can be answered using 1 and 2 together but not using 1 or 2 alone. (d) if the question cannot be answered even using 1 and 2 together.what is the discount percent offered? (1) the selling price is four times the discount. (2) five times the marked price is equal to 6 times the selling price.

Let's break this down systematically.

### Question: What is the discount percent offered?

To solve this, we'll analyze the two statements provided:

1. **Statement 1**: "The selling price is four times the discount."
   
   This implies:
   \[
   \text{Selling Price} = 4 \times \text{Discount}
   \]
   But this equation alone does not give enough information to determine the discount percent because we don't know the marked price.

2. **Statement 2**: "Five times the marked price is equal to six times the selling price."
   
   This implies:
   \[
   5 \times \text{Marked Price} = 6 \times \text{Selling Price}
   \]
   Again, this gives a relationship between the marked price and the selling price, but without knowing either one, we cannot determine the discount percent directly.

### Now, let's consider if the statements together help:

From **Statement 1**, we know:
\[
\text{Selling Price} = 4 \times \text{Discount}
\]

Substitute this into **Statement 2**:
\[
5 \times \text{Marked Price} = 6 \times (4 \times \text{Discount}) = 24 \times \text{Discount}
\]

Now, this gives us a relationship between the marked price and the discount. But without either an absolute value for the marked price or the selling price, we still cannot determine the discount percent.

### Conclusion:
The statements together do not provide enough information to solve the problem. Therefore, the answer is **(d)**: The question cannot be answered even using 1 and 2 together.

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Would you like further details on how to approach these types of problems?

### Related Questions:
1. What is the relationship between marked price, discount, and selling price?
2. How can a discount percent be calculated if the selling price and marked price are known?
3. Can a problem like this be solved if one more variable (like marked price) is given?
4. How do simultaneous equations help in solving percentage-related problems?
5. What are the general steps to finding discount percentages in real-world scenarios?

#### Tip:
When dealing with percentage-based questions, always ensure you have enough information about the marked price, selling price, and discount to solve for the desired value.

The query submitted by the user: 'What is the discount percent offered? (1) the selling price is four times the discount. (2) five times the marked price is equal to 6 times the selling price.'

This problem demonstrates how to determine the discount percent using algebraic relationships between the selling price and marked price. Learn the step-by-step approach to analyzing the equations: 'Selling price is four times the discount' and 'Five times the marked price is equal to six times the selling price.' Suitable for Grades 9-11.

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