The selling price of an item is Rs 1150 after the shopkeeper grants a discount of 8% on its marked price. What is the original marked price of the item in rupees?

Introduction / Context:
This is a direct application of reversing a simple discount. The question gives the selling price and the discount percent and asks for the marked price before the discount was applied.

Given Data / Assumptions:

• Selling price after discount = Rs 1150.
• Discount on marked price = 8 percent.
• Marked price = unknown (let it be M).
• No taxes or extra discounts are involved beyond the given 8 percent.

Concept / Approach:
When a discount of d percent is applied, the selling price equals: Selling price = Marked price * (1 - d/100). Here d = 8, so factor = 1 - 8/100 = 0.92. Hence: 1150 = M * 0.92. We rearrange this equation to solve for M using division.

Step-by-Step Solution:
Step 1: Let the marked price be M. Step 2: After 8 percent discount, selling price = 0.92 * M. Step 3: Given selling price = Rs 1150, so 0.92 * M = 1150. Step 4: Solve for M: M = 1150 / 0.92. Step 5: Compute 1150 / 0.92 = 1250. Step 6: Therefore, the marked price of the item is Rs 1250.

Verification / Alternative check:
With marked price M = Rs 1250, discount at 8 percent = 1250 * 8/100 = Rs 100. Selling price after discount = 1250 - 100 = Rs 1150. This matches the given selling price exactly, confirming that the calculation is correct.

Why Other Options Are Wrong:
Rs 1242: Close but not exact; discount at 8 percent here would not yield Rs 1150. Rs 1058 and Rs 1064: These are far too low to be marked prices corresponding to 1150 after an 8 percent discount. Rs 1200: With 8 percent discount the selling price would be 1200 - 96 = 1104, not 1150.

Common Pitfalls:
A typical mistake is to subtract 8 percent of the selling price from 1150 instead of reversing the discount on the marked price. Another mistake is to consider 1150 as 92 percent of some number without using division and instead attempting approximate mental adjustments that produce rounding errors. The systematic method is to express the selling price as a fixed fraction of the marked price and then divide.

Final Answer:
The original marked price of the item is Rs 1250.