A house worth Rs 1,50,000 is sold by X to Y at 5% profit Y sells the house back to X at 2% loss. Then the entire transaction :

Options

A. X gets a profit of Rs 4,350
B. X gets a loss of Rs 4,350
C. X gets a profit of Rs 3,150
D. X gets a loss of Rs 3,150

Answer

To solve the problem step by step, let's break down the transactions between X and Y.

### Step 1: Calculate the Selling Price of X to Y
X sells the house to Y at a profit of 5%. The cost price (CP) of the house for X is Rs 1,50,000.

To find the selling price (SP) when X sells to Y, we use the formula:
\[ SP = CP + (Profit \% \times CP) \]
Here, the profit percentage is 5%.

Calculating the profit:
\[ Profit = 5\% \text{ of } 1,50,000 = \frac{5}{100} \times 1,50,000 = 7,500 \]

Now, calculate the selling price:
\[ SP = 1,50,000 + 7,500 = 1,57,500 \]

### Step 2: Calculate the Selling Price of Y to X
Y sells the house back to X at a loss of 2%. The cost price (CP) for Y is the selling price from X, which is Rs 1,57,500.

To find the selling price (SP) when Y sells back to X, we use the formula:
\[ SP = CP - (Loss \% \times CP) \]
Here, the loss percentage is 2%.

Calculating the loss:
\[ Loss = 2\% \text{ of } 1,57,500 = \frac{2}{100} \times 1,57,500 = 3,150 \]

Now, calculate the selling price:
\[ SP = 1,57,500 - 3,150 = 1,54,350 \]

### Step 3: Calculate the Overall Profit or Loss
Now, we need to determine the overall profit or loss for X after both transactions.

1. **Initial cost for X**: Rs 1,50,000
2. **Final amount received by X after buying back the house**: Rs 1,54,350

Now, calculate the profit:
\[ Profit = Final Amount - Initial Cost = 1,54,350 - 1,50,000 = 4,350 \]

### Final Result
The entire transaction results in a profit of Rs 4,350 for X.

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