Shivam bought a stock of soaps worth Rs.80000. He sold 20% stock at profit of 12% and he sold 60% stock at 15% profit. If remaining stock of soap is damaged by fire, then find profit/loss of Shivam on the whole transaction.

Options

A. Rs 3940 profit
B. Rs 5620 loss
C. Rs 2480 loss
D. Rs 6880 loss

Answer

To solve the problem step by step, we will calculate the profit or loss Shivam incurred from selling the stock of soaps.

### Step 1: Calculate the total cost price (CP)
The total cost price of the stock of soaps is given as Rs. 80,000.

### Step 2: Calculate the value of stock sold
Shivam sold 20% of the stock and 60% of the stock.

- **20% of stock sold:**
\[ \text{Value of 20% stock} = 20\% \text{ of } 80,000 = \frac{20}{100} \times 80,000 = 16,000 \]

- **60% of stock sold:**
\[ \text{Value of 60% stock} = 60\% \text{ of } 80,000 = \frac{60}{100} \times 80,000 = 48,000 \]

### Step 3: Calculate the profit from each sale
- **Profit from 20% stock sold at 12% profit:**
\[ \text{Profit} = 12\% \text{ of } 16,000 = \frac{12}{100} \times 16,000 = 1,920 \]
\[ \text{Selling Price (SP)} = \text{CP} + \text{Profit} = 16,000 + 1,920 = 17,920 \]

- **Profit from 60% stock sold at 15% profit:**
\[ \text{Profit} = 15\% \text{ of } 48,000 = \frac{15}{100} \times 48,000 = 7,200 \]
\[ \text{Selling Price (SP)} = \text{CP} + \text{Profit} = 48,000 + 7,200 = 55,200 \]

### Step 4: Calculate the total selling price (SP)
\[ \text{Total SP} = \text{SP from 20% stock} + \text{SP from 60% stock} \]
\[ \text{Total SP} = 17,920 + 55,200 = 73,120 \]

### Step 5: Calculate the remaining stock and its loss
- **Remaining stock:**
\[ \text{Remaining stock} = 100\% - (20\% + 60\%) = 20\% \]
\[ \text{Value of remaining stock} = 20\% \text{ of } 80,000 = \frac{20}{100} \times 80,000 = 16,000 \]
Since the remaining stock was damaged by fire, Shivam incurs a loss of Rs. 16,000 on this stock.

### Step 6: Calculate the total loss
- **Total loss incurred:**
\[ \text{Total Loss} = \text{Value of remaining stock} = 16,000 \]

### Step 7: Calculate the overall profit or loss
- **Overall profit/loss:**
\[ \text{Overall profit/loss} = \text{Total SP} - \text{Total CP} \]
\[ \text{Overall profit/loss} = 73,120 - 80,000 = -6,880 \]
This indicates a loss of Rs. 6,880.

### Final Answer:
Shivam incurred a loss of Rs. 6,880 on the whole transaction.

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