Ravi purchased two articles for ₹ 1500 each. He sold them, gaining 6% on one and losing 4% on the other. His gain/loss per cent in the whole transaction is

Options

A. gain, 1%
B. loss `1(1)/(2)%`
C. gain, 2%
D. loss, 1%

Answer

To solve the problem step by step, we will calculate the profit and loss on each article and then determine the overall gain or loss percentage for the entire transaction.

### Step 1: Determine the Cost Price of Each Article
Ravi purchased two articles for ₹1500 each.

**Cost Price (CP) of each article = ₹1500**

### Step 2: Calculate the Selling Price of the First Article
Ravi sold the first article with a gain of 6%.

**Gain = 6% of CP**
\[ \text{Gain} = \frac{6}{100} \times 1500 = 90 \]

**Selling Price (SP) of the first article = CP + Gain**
\[ \text{SP} = 1500 + 90 = 1590 \]

### Step 3: Calculate the Selling Price of the Second Article
Ravi sold the second article with a loss of 4%.

**Loss = 4% of CP**
\[ \text{Loss} = \frac{4}{100} \times 1500 = 60 \]

**Selling Price (SP) of the second article = CP - Loss**
\[ \text{SP} = 1500 - 60 = 1440 \]

### Step 4: Calculate the Total Selling Price
Now, we will find the total selling price of both articles.

**Total Selling Price = SP of first article + SP of second article**
\[ \text{Total SP} = 1590 + 1440 = 3030 \]

### Step 5: Calculate the Total Cost Price
The total cost price of both articles is:

**Total Cost Price = CP of first article + CP of second article**
\[ \text{Total CP} = 1500 + 1500 = 3000 \]

### Step 6: Calculate the Overall Gain or Loss
Now, we can find the overall gain or loss.

**Overall Gain = Total SP - Total CP**
\[ \text{Overall Gain} = 3030 - 3000 = 30 \]

### Step 7: Calculate the Gain Percentage
Finally, we calculate the gain percentage based on the total cost price.

**Gain Percentage = (Overall Gain / Total CP) × 100**
\[ \text{Gain Percentage} = \left(\frac{30}{3000}\right) \times 100 = 1\% \]

### Conclusion
Ravi's overall gain percentage in the whole transaction is **1%**.

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