To determine the overall profit or loss for X in the entire transaction, we need to evaluate the individual transactions step-by-step:
- Initial Purchase by X:
- Cost Price of the car for X = ₹1,50,000
- Sale by X to Y:
- X sells the car to Y at a profit of 5%.
- The selling price for Y is calculated as: \(1,50,000 + (5\% \text{ of } 1,50,000)\)
- \(1,50,000 + \frac{5}{100} \times 1,50,000\)
- \(1,50,000 + 7,500 = 1,57,500\)
- Therefore, Y purchases the car for ₹1,57,500.
- Sale by Y back to X:
- Y sells the car back to X at a loss of 2%.
- The selling price for X is calculated as: \(1,57,500 - (2\% \text{ of } 1,57,500)\)
- \(1,57,500 - \frac{2}{100} \times 1,57,500\)
- \(1,57,500 - 3,150 = 1,54,350\)
- Therefore, X buys the car back for ₹1,54,350.
- Calculation of Overall Profit or Loss for X:
- Initial purchase price by X = ₹1,50,000
- Final purchase price by X after buying back from Y = ₹1,54,350
- Overall cost to X = ₹1,54,350
- Profit or loss = Final purchase price - Initial purchase price
- \(1,54,350 - 1,50,000 = 4,350\) (positive value indicates a gain)
- X makes a gain of ₹4,350.
However, it seems like the information provided has an error in option A. Based on correct calculations and options provided:
- X gain ₹3,150
Correct Conclusion: X's gain through the entire transaction is ₹3,150.
Similar Questions
- I bought two frocks for ₹1,200. I sold the first one at a loss of 7% and the second at a gain of 23%. If, on the whole I made neither a loss nor a gain, find the cost price (in ₹) of the first frock.
- The selling price of 40 books is equal to the cost price of 28 books. Find the loss or gain percentage.
- I bought two toy guns for ₹1,200. I sold the first one at a loss of 8% and the second at a gain of 16%. If, on the whole I made neither a loss nor a gain, find the cost price (in ₹) of the first toy gun.
- By selling $50$ mangoes for $₹30$, a person loses $10\%$. How many mangoes should he sell for $₹28$ to gain $20\%$?
- Sarita buys two old Samsung and three Mi mobile phones for ₹40,200. If she sells the Samsung phones at a 10% profit and the Mi phones at a 20% profit then her total profit is ₹5,640. The cost price of the Mi phone is:
- The cost price of 19 pens is equal to the selling price of 16 pens. Percentage gain is:
- The cost price of a car was ₹1,50,000. It was sold by X at a profit of 5% to Y. It was later sold back to X by Y at a 1% loss. Find X's profit in the entire transaction.
- A vendor sells 10 oranges for ₹1 and gains $30\%$. How many oranges did he buy for ₹1?
- Sohan lost $20\%$ by selling his old fan for ₹1,500. At what price (in ₹) he should have sold it to get $20\%$ profit?
- Find percentage loss when cost price = ₹850 and selling price = ₹680.
Important Questions from Profit and Loss
By selling an article for Rs. 2,200, a profit of 10% is earned. If the same article is sold for Rs. 2,600, then what will be the gain percentage?
By selling an article for Rs. 640, a person loses 15% of its selling price. At what price (in Rs.) should he sell it to gain 15% on its cost price?
The selling prices of articles A and B are the same. A is sold at a profit of 28 percent and B is sold at a loss of 24 percent. If the total selling price of the both articles is Rs. 48640, then what is the cost price of A and B, respectively ?
The cost price of an article is Rs. 2800. Profit as a percentage of selling price is 20 percent. What is the actual profit (in Rs.) ?
A trader bought 640 kg of rice. He sold a part of rice at 20% profit and the rest at 5% loss. He earned a profit of 15% in the entire transaction. What is the quantity (in kg) of rice that he sold at 5% loss?
