Calculating Shopkeeper's Total Gain Percentage
The problem involves calculating the total percentage gain when a shopkeeper uses tampered weights to cheat by 8% during both buying and selling.
We can treat the cheating in buying and selling as two separate instances of percentage gain applied sequentially.
Gain from Cheating in Buying
When buying, the shopkeeper cheats by 8%. This means he gets 8% more quantity than he pays for. This effectively results in a gain of 8%.
Buying Gain = $8\%$
Gain from Cheating in Selling
When selling, the shopkeeper cheats by 8%. This means he gives 8% less quantity than the customer pays for. This effectively results in a gain of 8% on the selling price.
Selling Gain = $8\%$
Calculating Total Gain Percentage
To find the total gain percentage when two successive percentage gains (or losses) occur, we use the formula:
$ \text{Total Gain \%} = x + y + \frac{xy}{100} $
Where $x$ is the first gain percentage and $y$ is the second gain percentage.
In this case, $x = 8\%$ and $y = 8\%$.
$ \text{Total Gain \%} = 8 + 8 + \frac{8 \times 8}{100} $
$ \text{Total Gain \%} = 16 + \frac{64}{100} $
$ \text{Total Gain \%} = 16 + 0.64 $
$ \text{Total Gain \%} = 16.64\% $
Conclusion
The shopkeeper's total gain percentage is 16.64%.
Similar Questions
- 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?
- 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?
- An article is sold to Mr. X at a profit of 20%. Mr. X sells it to Mr. Y at a profit of 25%. If Mr. Y pays ₹225 for the article, then what was the cost price for the original seller?
- A sold an item to B at a gain of 25%, and B sold it to C at a loss of 12%. If C paid ₹231, then what was the cost price of the item for A?
The price of fuel decreases by 55%, 35% and 45% in three successive months, but increases by 40% in the fourth month. What is the percentage decrease in the price of fuel in the fourth month as compared to its original price? (Round off to 2 decimal places.)
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 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 ____%.
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?
A shirt originally costing ₹800 is first decreased by 30% and then increased by 15%. What is its new price?
Important Questions from Successive Selling
A dealer sold an article at a loss of 2%. Had he sold it for Rs. 44 more, he would have gained 20%. Find the cost price of the article
Radha purchased a Computer table for Rs. 10000 and a Centre table for Rs. 5000. She sold Computer table with 8% profit. With what profit percent should she sell the Centre table so as to gain 10% on the whole transaction.
If selling price of 75 articles is equal to cost price of 60 articles, then the approximate loss or gain percent is :
A.T.V. is sold at 8% gain. Had it been sold for Rs.2553 less; there would have been loss of 15%. To gain 18%, the selling price (in Rs.) of T.V. would be:
Some fruits are bought at 15 for Rs. 140 and an equal number of fruits at 10 for Rs. 120. If all the fruits are sold at Rs. 132 per dozen, then what is the profit percent in the entire transaction?
