Each question below is followed by two Statements [l] and [II]. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers. Give answer
Ram sold an item. Find the M.P of the item?
I Ram gave two successive discounts is 20% & 5% on marked price. But after that take 25% more on discounted price as tax. Ram can earn 40 more If he sell the item at MP.
II. Ram gave two successive discount of MP i.e., 15% & 20% whereas Ram kept M.P.50% more than the C.P. of that item,

Options

A. if the Statement [l] alone is sufficient to answer the question but the Statement [ll] alone is not sufficient
B. if the Statement [II] alone is sufficient to answer the question but the Statement [I] alone is not sufficient
C. if both Statement [I] and [II] together are needed to answer the question
D. if either the Statement [l] alone or Statement [II] alone is sufficient to answer the question

Answer

To solve the question, we need to determine the Mark Price (M.P) of an item sold by Ram based on the information provided in two statements.

### Step-by-Step Solution

**Step 1: Analyze Statement I**

- Ram gives two successive discounts of 20% and 5% on the marked price (M.P).
- After applying the discounts, he charges an additional 25% tax on the discounted price.
- It is stated that if Ram sells the item at the marked price, he would earn 40 more.

Let the marked price be \( x \).

1. **Calculate the Selling Price after Discounts:**
- First discount of 20%: Selling Price after first discount = \( x \times (1 - 0.20) = 0.80x \)
- Second discount of 5%: Selling Price after second discount = \( 0.80x \times (1 - 0.05) = 0.80x \times 0.95 = 0.76x \)
- Now, apply the 25% tax on the discounted price:
- Selling Price after tax = \( 0.76x \times (1 + 0.25) = 0.76x \times 1.25 = 0.95x \)

2. **Set up the equation based on the profit condition:**
- If he sells at the marked price, he earns 40 more than selling at the discounted price:
\[ x = 0.95x + 40 \]

3. **Solve for \( x \):**
\[ x - 0.95x = 40 \implies 0.05x = 40 \implies x = \frac{40}{0.05} = 800 \]

Thus, from Statement I alone, we can determine that the Mark Price (M.P) is \( 800 \).

**Step 2: Analyze Statement II**

- Ram gives two successive discounts of 15% and 20%.
- The marked price is 50% more than the cost price (C.P).

Let the cost price be \( y \). Then the marked price is:
\[ \text{M.P} = y + 0.50y = 1.50y \]

1. **Calculate the Selling Price after Discounts:**
- First discount of 15%: Selling Price after first discount = \( 1.50y \times (1 - 0.15) = 1.50y \times 0.85 = 1.275y \)
- Second discount of 20%: Selling Price after second discount = \( 1.275y \times (1 - 0.20) = 1.275y \times 0.80 = 1.02y \)

2. **In this case, we do not have enough information to determine the Mark Price directly because we have two variables (M.P and C.P) and only one equation.**

Thus, Statement II alone is not sufficient to determine the Mark Price.

### Conclusion

- **Statement I is sufficient** to find the Mark Price.
- **Statement II is not sufficient** to find the Mark Price.

The correct answer is that **Statement I alone is sufficient, while Statement II alone is not sufficient.**