A manufacturer marks his goods at 40% above the cost price. He allows a discount of 10% for cash customers and 5% to credit customers.`3/5` of the goods are sold for cash and the rest on credit. What is the percentage of profit when all the goods are sold and amount realised?

Answer

Let's solve the problem step by step.

### Step 1: Determine the Cost Price (CP)
Assume the cost price (CP) of the goods is ₹100.

### Step 2: Calculate the Marked Price (MP)
The manufacturer marks his goods at 40% above the cost price.
- Marked Price (MP) = CP + 40% of CP
- MP = 100 + (40/100) * 100 = 100 + 40 = ₹140

### Step 3: Calculate the Value of Goods Sold for Cash
3/5 of the goods are sold for cash.
- Value of goods sold for cash = (3/5) * MP
- Value for cash = (3/5) * 140 = ₹84

### Step 4: Calculate the Value of Goods Sold for Credit
The remaining goods are sold on credit.
- Value of goods sold for credit = MP - Value of goods sold for cash
- Value for credit = 140 - 84 = ₹56

### Step 5: Calculate the Selling Price (SP) for Cash Customers
A discount of 10% is allowed for cash customers.
- Selling Price for cash = (100% - 10%) of Value for cash
- SP for cash = (90/100) * 84 = ₹75.60

### Step 6: Calculate the Selling Price (SP) for Credit Customers
A discount of 5% is allowed for credit customers.
- Selling Price for credit = (100% - 5%) of Value for credit
- SP for credit = (95/100) * 56 = ₹53.20

### Step 7: Calculate Total Selling Price (SP)
Total Selling Price = SP for cash + SP for credit
- Total SP = 75.60 + 53.20 = ₹128.80

### Step 8: Calculate Profit
Profit = Total SP - CP
- Profit = 128.80 - 100 = ₹28.80

### Step 9: Calculate Profit Percentage
Profit Percentage = (Profit / CP) * 100
- Profit Percentage = (28.80 / 100) * 100 = 28.80%

### Final Answer
The percentage of profit when all the goods are sold is **28.80%**.

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