Aptitude - Profit and Loss - Discussion

1 and 2 are sufficient to give the answer.

Option E is correct. Because I and II, as well as II and III, are the right options, but there is no such option available. So we have to opt "none of these. " To make it further clear, we only need CP and MP to calculate the discount and discount %. We will get MP from option II.

Also, we can get CP from either I or III.

[Note: It's not necessary to verify whether the CP is got by confirming the application of discount% as CP is fixed as we are talking about the same commodity].

Option A should be the correct answer.

I am not getting this. Please explain to me in detail.

As per my knowledge, based on the correct analysis of the statements, the answer should be **(A) Only I and II**.

Let's break down the reasoning and pinpoint the mistake in the provided explanation.

**Correct Analysis**

The goal is to find the discount percentage, which requires the **Selling Price (SP)** and the **Marked Price (MP)**.

1. **Statement I** gives us the **SP = Rs. 12,350**. It also allows us to calculate the Cost Price (CP) since the profit was 23.5%.
$$CP = frac{SP}{1 + (t{Profit}% / 100)} = frac{12,350}{1.235} = {Rs. } 10,000$$.

2. **Statement II** tells us what the profit *would have been* without a discount. This information is used to find the **MP**.
$$MP = CP times (1 + 0.30) = 1.3 times CP$$.

3. **Statement III** gives us the **CP = Rs. 10,000**.

Combining I and II is Sufficient:
As the explanation correctly shows in its first few steps, using I and II together allows us to find all necessary values:
* From I: SP = Rs. 12,350.
* From I, we calculate **CP = Rs. 10,000.
* Using this CP with statement II, we find **MP = $1.3 times 10,000 = {Rs. } 13,000$**.
Since we have both SP and MP, we can calculate the discount. This combination works.

*Conclusion*

* The combination **(I and II)** is sufficient.
* The combination **(I and III)** is not sufficient.
* The combination **(II and III)** is not sufficient (it gives MP and CP, but not SP).

Since only the combination **(I and II)** is sufficient to answer the question, and this is listed as option (A), that is the correct choice.

Can anyone explain how I and III give the answer?

II and III can never give the solution, the correct answer should be A.

Very confusing solution. Both I &II or II & III can give the answer.

Answer must me [A], because if we consider only I and III, then both these options are giving the cost price only, it is not giving any information about the discount.

Therefore, answer must be [A], that is I and II are must to find the discount percentage.

1 and 2 give's the discount but 1 and 3 give's only CP, SP, profit but not discount.

2 and 3 also will give CP, SP, profit but not discount. Hence answer should be option A.