Nick purchased two hand bags for $ 750 each.He sold these bags, gaining 6% on the losing 4% on the other. Find his gain orloss per cent in the whole transation.

Answer

To solve the problem step by step, we will calculate the selling price of each handbag, determine the total cost price, and then find the overall profit or loss percentage.

### Step 1: Calculate the Cost Price (CP) of each handbag
Nick purchased two handbags for $750 each.

- Cost Price of Handbag 1 (CP1) = $750
- Cost Price of Handbag 2 (CP2) = $750

### Step 2: Calculate the Selling Price (SP) of Handbag 1
Handbag 1 is sold at a gain of 6%.

- Gain = 6% of CP1
- Gain = (6/100) * 750 = $45

Now, calculate the Selling Price (SP1):
- SP1 = CP1 + Gain
- SP1 = 750 + 45 = $795

### Step 3: Calculate the Selling Price (SP) of Handbag 2
Handbag 2 is sold at a loss of 4%.

- Loss = 4% of CP2
- Loss = (4/100) * 750 = $30

Now, calculate the Selling Price (SP2):
- SP2 = CP2 - Loss
- SP2 = 750 - 30 = $720

### Step 4: Calculate the Total Cost Price (Total CP)
Total CP for both handbags:
- Total CP = CP1 + CP2
- Total CP = 750 + 750 = $1500

### Step 5: Calculate the Total Selling Price (Total SP)
Total SP for both handbags:
- Total SP = SP1 + SP2
- Total SP = 795 + 720 = $1515

### Step 6: Calculate the Profit
Profit = Total SP - Total CP
- Profit = 1515 - 1500 = $15

### Step 7: Calculate the Profit Percentage
Profit Percentage = (Profit / Total CP) * 100
- Profit Percentage = (15 / 1500) * 100 = 1%

### Final Answer
Nick's overall gain percentage in the whole transaction is **1%**.

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