A manufactured items is of cost of Rs 12500, sold at 10% profit. The supplier sold the same at a 5.5% profit to the shopkeeper. The shopkeeper marks it at Rs 2393.75 higher than his cost price and allowed at 10% discount to the customer. Find the profit earned by the shopkeeper?

Let's solve the problem step by step.

### Step 1: Determine the cost price for the supplier
The manufacturer sells the item to the supplier at a 10% profit on the cost price of Rs 12,500.

\[
\text{Selling Price of Manufacturer} = \text{Cost Price} + 10\% \text{Profit}
\]
\[
\text{Selling Price of Manufacturer} = 12,500 + (10\% \times 12,500)
\]
\[
\text{Selling Price of Manufacturer} = 12,500 + 1,250 = Rs 13,750
\]

### Step 2: Determine the cost price for the shopkeeper
The supplier sells the item to the shopkeeper at a 5.5% profit on his cost price of Rs 13,750.

\[
\text{Selling Price of Supplier} = 13,750 + (5.5\% \times 13,750)
\]
\[
\text{Selling Price of Supplier} = 13,750 + (0.055 \times 13,750)
\]
\[
\text{Selling Price of Supplier} = 13,750 + 756.25 = Rs 14,506.25
\]

So, the **cost price for the shopkeeper** is Rs 14,506.25.

### Step 3: Determine the marked price by the shopkeeper
The shopkeeper marks the item at Rs 2,393.75 higher than his cost price.

\[
\text{Marked Price} = \text{Cost Price of Shopkeeper} + 2,393.75
\]
\[
\text{Marked Price} = 14,506.25 + 2,393.75 = Rs 16,900
\]

### Step 4: Apply the 10% discount on the marked price
The shopkeeper gives a 10% discount to the customer.

\[
\text{Discounted Price} = \text{Marked Price} - 10\% \text{Discount}
\]
\[
\text{Discounted Price} = 16,900 - (10\% \times 16,900)
\]
\[
\text{Discounted Price} = 16,900 - 1,690 = Rs 15,210
\]

So, the customer buys the item for Rs 15,210.

### Step 5: Calculate the profit earned by the shopkeeper
The profit earned by the shopkeeper is the difference between the selling price and his cost price.

\[
\text{Profit of Shopkeeper} = \text{Discounted Price} - \text{Cost Price of Shopkeeper}
\]
\[
\text{Profit of Shopkeeper} = 15,210 - 14,506.25 = Rs 703.75
\]

Thus, the **profit earned by the shopkeeper** is **Rs 703.75**.

---

Would you like further clarification on any step or more details?

### Related Questions:
1. How do you calculate profit percentage from cost and selling price?
2. What are the different types of discounts and their effects on profit margins?
3. How can a shopkeeper decide on the best markup to maximize profit?
4. What is the impact of multiple parties adding profit at different stages?
5. How do cost price, selling price, and marked price differ?

### Tip:
When dealing with percentages in profit or discount problems, always clearly distinguish between the base values used for each calculation (cost price, selling price, marked price).

A manufactured item is of cost Rs 12500, sold at 10% profit. The supplier sold the same at a 5.5% profit to the shopkeeper. The shopkeeper marks it at Rs 2393.75 higher than his cost price and allowed a 10% discount to the customer. Find the profit earned by the shopkeeper?

Learn how to calculate profit earned by a shopkeeper when multiple sellers add different profit margins. The problem involves a manufacturer, supplier, and shopkeeper using key concepts like profit percentage, discount, and markup. The shopkeeper's profit is calculated after applying a 10% discount to the customer.

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