An item costing 840 was sold by a shopkeeper at a gain of 10% and it was again sold by the new buyer at a loss of 5%. Flnal selling price of the item is:

Options

A. 877.8
B. 798
C. 924
D. 37.8

Answer

To solve the problem step by step, we will calculate the selling price after each transaction.

### Step 1: Calculate the Selling Price after the First Sale
The item costs 840, and the shopkeeper sells it at a gain of 10%.

1. **Calculate the Profit:**
\[ \text{Profit} = \text{Cost Price} \times \frac{\text{Gain Percentage}}{100} = 840 \times \frac{10}{100} = 84 \]

2. **Calculate the Selling Price:**
\[ \text{Selling Price} = \text{Cost Price} + \text{Profit} = 840 + 84 = 924 \]

### Step 2: Calculate the Selling Price after the Second Sale
The new buyer sells the item at a loss of 5%.

1. **Calculate the Loss:**
\[ \text{Loss} = \text{Selling Price} \times \frac{\text{Loss Percentage}}{100} = 924 \times \frac{5}{100} = 46.2 \]

2. **Calculate the Final Selling Price:**
\[ \text{Final Selling Price} = \text{Selling Price} - \text{Loss} = 924 - 46.2 = 877.8 \]

### Final Answer
The final selling price of the item is **877.8**.

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