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A shopkeeper calculate percentage profit on the buying price and another on the selling price. What will be their difference in profits if both claim a profit of 20% on goods sold for Rs. 3000?

Correct Answer: Rs. 100
For 20% profit on selling price means $$\frac{1}{5}$$ of 3000 i.e. Rs. 600
Now, let the CP = Rs. 100, Then,
SP with 20% profit = Rs. 120
For 20% profit on selling price means cost is 100 + profit is 20 = selling price is 120.
Means selling price is 120% of cost price.
Now selling price is 120% ie 3000 then find 100% amount which will be cost.
Cost = $$\frac{{3000}}{{120}}\% $$
= $$\frac{{3000}}{{\frac{6}{5}}}$$
Because, 120% = $$\frac{6}{5}$$
= 3000 x $$\frac{5}{6}$$
= 2500
Cost is 2500
Thus profit is 20% i.e. $$\frac{1}{5}$$ x 2500 = 500Thus,
Difference is 600 - 500 = Rs.100

There are two shopkeepers, first shopkeeper calculates his profit percent on the selling price whereas the second shopkeeper calculates his profit percent on the cost price. If the selling price for both the shopkeeper is same and the difference between their profits is Rs.175. Then, calculate the sum of the cost price for both the shopkeeper if the profit percent for the both shopkeeper is 25%?

One trader calculates the percentage of profit on the buying price and another calculates on the selling price. When their selling price are the same then the difference of their actual profits is Rs. 85 and both claim to have made 20% profit, what is the selling price of each ?

Find the selling price of goods if two salesmen claim to make 25% profit each, one calculating it on cost price while another on the selling price, the difference in the profits earned being Rs. 100 and selling price being the same in both the cases?

Profit on selling 10 candles equals selling price of 3 bulbs. While loss on selling 10 bulbs equal selling price of 4 candles. Also profit percentage equals to the loss percentage and cost of a candle is half of the cost of a bulb. What is the ratio of selling price of candles to the selling price of a bulb?

A shopkeeper has 11 books of same cost price. He sells the first book at certain price, then he sells second book at a price which is Rs. 1 less than the selling price of first book and then he sells third book at a price which is Rs. 1, less than the selling price of second book. Following this pattern, he sold all 11 books. If he sells sixth book at its cost price. Find the over-all percent profit or loss on selling all 11 books = ?

A lady buys goods worth Rs. 200 from a shop. (shopkeeper is selling the goods with zero profit). The lady gives him a Rs. 1000 note. The shopkeeper gets the change from the next shop and keeps Rs. 200 for himself and returns Rs.800 to the lady. Later the shopkeeper of the next shop comes with the Rs.1000 note saying “duplicate” and takes his money back.How much LOSS did the shopkeeper face?

Mark the incorrect proposition:
1. Set-off is a statutory defence to a plaintiff's action, whereas a counterclaim is a cross-action.
2. Set-off and counter-claim arises out of the same transaction.
3. Set-off should not be barred on the date of the suit while counter-claim should not be barred on the date of filing of written statement.
4. Claim for set-off cannot exceed plaintiff's claim, whereas counterclaim can exceed the plaintiffs claim.
5. Both set-off and counter-claim cannot exceed the pecuniary jurisdiction of the court.

A lady buys grocery worth Rs. 350 from a shop. The shopkeeper is selling the goods with zero profit.
The lady gives him Rs. 2000 note. The shopkeeper gets the change from the next shop, keeps 350 for himself and returns Rs.1650 to the lady.
Later, the shopkeeper of the next shop comes with Rs. 2000 note saying that it is a duplicate note and takes his money back.
How much loss did the shopkeeper face?

Propositions are:
1. Set-off and counter-claim arises out of the same transaction.
2. Set-off should not be barred on the date of the suit while counter-claim should not be barred on the date of filing of written statement.
3. Claim for set-off cannot exceed plaintiff's claim, whereas counter-claim can exceed the plaintiff's claim.
In respect of the aforesaid which is correct:

A dishonest dealer marks up the price of his goods by 20% and gives a discount of 10% to the customer. Besides, he also cheats both his supplier and his buyer by 100 grams while buying or selling 1 kilogram. Find the percentage profit earned by the shopkeeper?