Rajat sells a property to his friend at 10% loss. If the friend sells it for 10,80,000 and gains 20%, then for how much did Rajat buy the property?
10,00,000
The friend sold the property for ₹10,80,000 at a 20% gain, so the friend's cost price = 10,80,000 / 1.20 = ₹9,00,000.
Rajat sold to the friend at a 10% loss on his own cost, so 0.90 × (Rajat's cost) = 9,00,000, giving Rajat's cost = 9,00,000 / 0.90 = ₹10,00,000.
Hence, the answer is ₹10,00,000.
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Important Questions from Successive Selling
By selling a watch at Rs. 840 a person loses 4%. Find the gain or loss if he sold it for Rs. 875?
Gaurav bought some articles at 5 for Rs. 6 and sold them at 10 for Rs. 11. His loss percentage is:
The increase in the price of a certain item was 25%. Then the price was decreased by 20% and then again increased by 10%. What is the resultant increase in the price?
- The selling price of 24 articles is equal to the cost price of 26 articles. If, due to a change in market conditions, the selling price of each article decreases by $10\%$ and the cost price of each article increases by $5\%$, what will be the new gain or loss percentage (correct to two decimal places)?
X sells goods to Y at a profit of 20 percent and Y sells the same goods to Z at a profit of 50 percent. If the cost price for Z is Rs 9000, then what is the cost of the goods for X?
