The price of an item is increased by 15% and then by 20%. Now the price of the item is decreased so that the overall effective increment in the price is 5%. The price is decreased approximately by ____%.
23.91
Let the original price be \(100\).
After a 15% increase, the price becomes \(100 \times 1.15 = 115\).
After a further 20% increase, the price becomes \(115 \times 1.20 = 138\).
The final price must reflect an overall 5% increase, so the final price is \(100 \times 1.05 = 105\).
Let the required decrease be \(x\%\). Then \(138 \times (1 - \frac{x}{100}) = 105\).
So \(1 - \frac{x}{100} = \frac{105}{138} = 0.7609\), giving \(\frac{x}{100} = 0.2391\).
Hence, \(x = 23.91\%\).
Similar Questions
- An article passing through two hands was sold at a total gain of 38% on the original price. If the first person sold it at a gain of 15%, then what was the gain percentage of the second person?
- A jacket is marked at ₹12,000. Store A offers two successive discounts of 15% and 10%. Store B offers two successive discounts of 10% and 15%. A customer wants to know which store provides a better deal and by how much?
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.
A shopkeeper offers a fixed discount of 15% on rice and 100 gm rice free with every purchase of 1.9 kg rice. Find the overall discount percent offered by him on rice.
The original price of a refrigerator was $1,500. During a clearance sale, it was initially discounted by 30%, followed by an additional 10% discount on the reduced price. What is the total percentage discount applied to the refrigerator?
An article marked at ₹1,250 is sold at two successive discounts such that the selling price becomes ₹900. If the first discount is 20%, what is the second discount?
A product with marked price ₹3,000 is sold with successive discounts of 15% and 25%. What is the final selling price after these two discounts?
The price of an article is first increased by 30% and then decreased by 20%. Due to these successive changes, the final price becomes ₹40 more than the original price. What is the original price of the article?
The marked price of a cooker is the same at four shops I, II, III and IV. Shop I allows two successive discounts of 87% and 37%, shop II allows successive discounts of 81% and 37%, shop III allows successive discounts of 57% and 54% and shop IV allows successive discounts of 91%, 25%, and 59% on the marked price of the cooker. Which shop is selling the cooker at the lowest price?
- A shopkeeper cheats to the extent of 8% while buying and selling fruits, by using tampered weights, his total gain in percentage is:
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:
