A trader initially marks all his goods 60% above the cost price. He sells half of the goods at a discount of 25% on the marked price. For the remaining half, he revises the marked price to 80% above the cost price and then offers a discount of 30%. Find the overall profit percentage earned by the trader.
23%
Assume the cost price of each half of the goods is \(₹100\), so total cost price \(= ₹200\).
For the first half: marked price \(= 100 \times 1.60 = ₹160\). Selling price after 25% discount \(= 160 \times 0.75 = ₹120\).
For the second half: marked price \(= 100 \times 1.80 = ₹180\). Selling price after 30% discount \(= 180 \times 0.70 = ₹126\).
Total selling price \(= 120 + 126 = ₹246\).
Profit percentage \(= \frac{246 - 200}{200} \times 100 = 23\%\).
Hence, the overall profit percentage earned by the trader is 23%.
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Important Questions from Successive Selling
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)?
Anil bought some articles at 6 for Rs. 8 and sold them at 10 for Rs. 12. His percentage loss or gain is:
The price of an article becomes Rs. 63 after a decrease of 30 percent. Find the original price. (in Rs.)
A man buys an article for 10 percent less than its value and sells it for 10 percent more than its value. His profit or loss percent is:
