A manufacturer sells goods to an agent at a profit of 20%. The agent’s wholesale price to a shopkeeper is at a profit of 10% and the shopkeeper retails his goods at a profit of 12%. Find the retailer’s price of an article which had cost the manufacturer Rs. 25.

Options

A. Rs. 37
B. Rs. 40
C. Rs. 44
D. Rs. 46

Answer

To find the retailer’s price of an article that cost the manufacturer Rs. 25, we will follow the profit percentages step by step through each level of sale: from the manufacturer to the agent, from the agent to the shopkeeper, and finally from the shopkeeper to the customer.

### Step 1: Calculate the Selling Price from Manufacturer to Agent
The manufacturer sells the goods to the agent at a profit of 20%.

- Cost Price (CP) for the manufacturer = Rs. 25
- Profit Percentage = 20%

To find the Selling Price (SP) for the agent:
\[ SP = CP + (Profit \% \times CP) \]
\[ SP = 25 + (20\% \times 25) \]
\[ SP = 25 + \left(\frac{20}{100} \times 25\right) \]
\[ SP = 25 + 5 = Rs. 30 \]

### Step 2: Calculate the Selling Price from Agent to Shopkeeper
The agent sells the goods to the shopkeeper at a profit of 10%.

- Cost Price (CP) for the agent = Rs. 30 (from Step 1)
- Profit Percentage = 10%

To find the Selling Price (SP) for the shopkeeper:
\[ SP = CP + (Profit \% \times CP) \]
\[ SP = 30 + (10\% \times 30) \]
\[ SP = 30 + \left(\frac{10}{100} \times 30\right) \]
\[ SP = 30 + 3 = Rs. 33 \]

### Step 3: Calculate the Retail Price from Shopkeeper to Customer
The shopkeeper sells the goods at a profit of 12%.

- Cost Price (CP) for the shopkeeper = Rs. 33 (from Step 2)
- Profit Percentage = 12%

To find the Retail Price (RP):
\[ RP = CP + (Profit \% \times CP) \]
\[ RP = 33 + (12\% \times 33) \]
\[ RP = 33 + \left(\frac{12}{100} \times 33\right) \]
\[ RP = 33 + 3.96 = Rs. 36.96 \]

### Final Answer
The retailer’s price of the article is Rs. 36.96.

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