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Method and examples
Profit Loss Discount
1. Find selling price when cost price = Rs. 50 , Loss/Gain = 10 % .
2. Find cost price when selling price = 55 , Loss/Gain = 10 %
3. Find Loss/Gain % when cost price = 50 and selling price = 55 .
4. By selling an article for Rs 110 a man loses 12 %. For how much should he sell it to gain 8 %.
5. A man sells two houses for Rs 536850 each. On one he gains and on the other he loses 5 %. Find his gain or loss % on the wh ...
6. If selling price of 10 articles is the same as the cost price of 12 articles, find the gain %.
7. By selling 100 pencils, a shopkeeper gains the selling price of 20 pencils. Find the gain percent.
8. A dishonest dealer professes to sell his goods at cost price but uses a weight of 960 grams for 1000 grams. Find the gain ...
9. If the marked price of an article is Rs. 380 and a discount of 5 % is given on it, what is the selling price ?
10. If 12 % is allowed as discount on a radio and its selling price is Rs. 836 , what is its marked price ?
11. A cycle dealer marks his goods 25 % above his cost price and allows a discount of 8 % on it. Find his gain percent.
12. Successive discounts of 20 % and 10 % equivalent to a single discount of how many percent?
13. If a commission of 10 % is given on the list price, the gain is 20 %. Find the gain percent, if the commission is increas ...
14. If the manufacturer gives 20 % commission to the dealer on the printed price and if the dealer sells the item at the print ...
15. A dealer gets 25 % commission on the printed price of an item. If he gives 10 % discount to the customer on printed price ...
16. The printed price of a saree is Rs 900 . A cloth-mearchant purchases it at 15 % commission. He spends Rs 35 for roll-polis ...
17. A carpenter made a table which cost him Rs 1500 . He decided the price so that he would get 20 % profit. He gave 8 % comm ...
18. The printed price of a book is Rs 720 . After giving 10 % discount to the customer on the printed price, the book-seller ge ...
19. If 20 % discount is given on the decided price which is decided by addition of 20 % profit on the purchase price, then wi ...
20. A watch manufacturing company decided the price with 25 % profit on the cost price. By selling a watch with 8 % discount ...
21. If the sales price of 12 pens is fixed as the original price of 15 pens, then what percentage of profit is earned in the ...
Problem 5 of 21
5. A man sells two houses for Rs
each. On one he gains and on the other he loses
%. Find his gain or loss % on the whole transaction.
Solution
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Profit Loss Discount
5. A man sells two houses for Rs 536850 each. On one he gains and on the other he loses 5 %. Find his gain or loss % on the whole transaction.
In such a problem selling price is not neccessary.
There is always a loss given by
Loss % = `(( text{Common Gain or Loss } %)/10)^2 = (5/10)^2 = 0.25` %
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