Ran singh purchased two camels for Rs. 18,000 and Rs. 15,000 respectively. He sold them at a loss of 15% and a gain of 19% respectively. Find the selling price of each of the camels. Also find the overall gain or loss per cent in the transaction.

Answer

To solve the problem step by step, we will first calculate the selling price of each camel, and then determine the overall gain or loss percentage from the transactions.

### Step 1: Calculate the Selling Price of the First Camel
- **Cost Price (CP) of the first camel** = Rs. 18,000
- **Loss Percentage** = 15%

To find the selling price (SP) when there is a loss, we use the formula:
\[ SP = CP - (Loss \% \times CP) \]
Calculating the loss amount:
\[ Loss = \frac{15}{100} \times 18000 = 2700 \]
Now, substituting the values into the selling price formula:
\[ SP_1 = 18000 - 2700 = 15300 \]

### Step 2: Calculate the Selling Price of the Second Camel
- **Cost Price (CP) of the second camel** = Rs. 15,000
- **Gain Percentage** = 19%

To find the selling price (SP) when there is a gain, we use the formula:
\[ SP = CP + (Gain \% \times CP) \]
Calculating the gain amount:
\[ Gain = \frac{19}{100} \times 15000 = 2850 \]
Now, substituting the values into the selling price formula:
\[ SP_2 = 15000 + 2850 = 17850 \]

### Step 3: Calculate the Total Cost Price and Total Selling Price
- **Total Cost Price (TCP)** = CP of first camel + CP of second camel
\[ TCP = 18000 + 15000 = 33000 \]

- **Total Selling Price (TSP)** = SP of first camel + SP of second camel
\[ TSP = 15300 + 17850 = 33150 \]

### Step 4: Calculate Overall Gain or Loss
To find the overall gain or loss, we compare the total selling price with the total cost price:
\[ Gain/Loss = TSP - TCP \]
Calculating:
\[ Gain/Loss = 33150 - 33000 = 150 \]

### Step 5: Calculate Overall Gain or Loss Percentage
To find the gain or loss percentage, we use the formula:
\[ \text{Gain/Loss Percentage} = \left( \frac{Gain/Loss}{TCP} \right) \times 100 \]
Calculating:
\[ \text{Gain Percentage} = \left( \frac{150}{33000} \right) \times 100 \approx 0.4545\% \]

### Final Results
- **Selling Price of the first camel** = Rs. 15,300
- **Selling Price of the second camel** = Rs. 17,850
- **Overall Gain Percentage** = 0.45% (approximately)

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