A purchased two articles for Rs 4680 and Rs 7020 respectively and sold at gains of 6% and 14.5% respectively. What was his overall gain percentage ?

Options

A. `10.2`
B. `9.7`
C. `12.3`
D. `11.1`

Answer

To find the overall gain percentage from the sale of two articles, we will follow these steps:

### Step 1: Calculate the Cost Price (CP) of each article
- Article 1: CP = Rs 4680
- Article 2: CP = Rs 7020

### Step 2: Calculate the Selling Price (SP) of each article
- For Article 1, the gain is 6%.
- Gain = 6% of CP = 6/100 * 4680 = Rs 280.8
- SP = CP + Gain = 4680 + 280.8 = Rs 4960.8

- For Article 2, the gain is 14.5%.
- Gain = 14.5% of CP = 14.5/100 * 7020 = Rs 1014.9
- SP = CP + Gain = 7020 + 1014.9 = Rs 8034.9

### Step 3: Calculate the Total Cost Price (TCP) and Total Selling Price (TSP)
- TCP = CP of Article 1 + CP of Article 2
- TCP = 4680 + 7020 = Rs 11700

- TSP = SP of Article 1 + SP of Article 2
- TSP = 4960.8 + 8034.9 = Rs 12995.7

### Step 4: Calculate the Total Gain
- Total Gain = TSP - TCP
- Total Gain = 12995.7 - 11700 = Rs 1295.7

### Step 5: Calculate the Overall Gain Percentage
- Overall Gain Percentage = (Total Gain / TCP) * 100
- Overall Gain Percentage = (1295.7 / 11700) * 100 ≈ 11.06%

### Final Answer
The overall gain percentage is approximately **11.06%**.

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