Profit Loss Discount

 Problem : 1 [ Profit Loss Discount ]       Solve this type of problem 1. Find selling price when cost price = Rs 50 , Loss/Gain = 10 % . Show Answer A: "C.P." = "Rs" 50," Gain" = 10%"S.P." = "C.P." × (100 + "Gain"%) / 100 = 50 × (100 + 10) / 100 = 55 " Rs""C.P." = "Rs " 50," Loss" = 10%"S.P." = "C.P." × (100 - "Loss"%) / 100 = 50 × (100 - 10) / 100 = 45 " Rs"

 Problem : 2 [ Profit Loss Discount ]       Solve this type of problem 2. Find cost price when selling price = 55 , Loss/Gain = 10 % Show Answer A: "S.P." = "Rs "55," Gain" = 10%"C.P." = "S.P." × 100/(100 + "Gain"%) = 55 × 100/(100 + 10) = 50 " Rs""S.P." = "Rs "55," Loss" = 10%"C.P." = "S.P." × 100/(100 - "Gain"%) = 55 × 100/(100 - 10) = 61.1111 " Rs"

 Problem : 3 [ Profit Loss Discount ]       Solve this type of problem 3. Find Loss/Gain % when cost price = 50 and selling price = 55 . Show Answer A: "C.P." = "Rs "50," S.P." = "Rs "55"Gain" = "S.P." - "C.P." = 55 - 50 = "Rs "5"Gain" % = ("Gain" × 100)/("C.P.") = (5 × 100)/50 = 10%

 Problem : 4 [ Profit Loss Discount ]       Solve this type of problem 4. By selling an article for Rs 110 a man loses 12 %. For how much should he sell it to gain 8 %. Show Answer A: Here "S.P." = "Rs "110," Loss" = 12%"C.P." = "S.P." × 100/(100 - "Loss"%) = 110 × 100/(100 - 12) = 125" Rs"Now, "C.P." = "Rs "125," Gain" = 8%"S.P." = "C.P." × (100 + "Gain"%)/100 = 125 × (100 + 8)/100 = 135" Rs"

 Problem : 5 [ Profit Loss Discount ]       Solve this type of problem 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. Show Answer A: 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 %

 Problem : 6 [ Profit Loss Discount ]       Solve this type of problem 6. If selling price of 10 articles is the same as the cost price of 12 articles, find the gain %. Show Answer A: Let C.P. of each article be Rs 1 C.P. of 10 articles = Rs 10S.P. of 10 articles = Rs 12:. Gain % = ("Gain" × 100)/("C.P.") = (2 × 100)/10 = 20 %

 Problem : 7 [ Profit Loss Discount ]       Solve this type of problem 7. By selling 100 pencils, a shopkeeper gains the selling price of 20 pencils. Find the gain percent. Show Answer A: (S.P. of 100 pencils) - (C.P. of 100 pencils) = S.P. of 20 pencils.:. S.P. of 80 pencils = C.P. of 100 pencils Let C.P. of each pencil be Rs 1C.P. of 80 pencils = Rs 80S.P. of 80 pencils = Rs 100:. Gain % = ("Gain" × 100)/("C.P.") = (20 × 100)/80 = 25 %

 Problem : 8 [ Profit Loss Discount ]       Solve this type of problem 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 percent. Show Answer A: Here Gain = price of 40 grams and C.P. = price of 960 grams Gain % = ("Gain" × 100)/("C.P.") = (40 × 100)/960 = 4.1667 %

 Problem : 9 [ Profit Loss Discount ]       Solve this type of problem 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 ? Show Answer A: Here marked price = Rs 380 and discount = 5 % S.P. = 95 % of Rs 380 = 95/100 × 380 = 361 Rs

 Problem : 10 [ Profit Loss Discount ]       Solve this type of problem 10. If 12 % is allowed as discount on a radio and its selling price is Rs 836 , what is its marked price ? Show Answer A: Here discount = 12 % and S.P. = 836Let Marked Price = Rs X 88 % of X = 836:. X = 836 × 100/88:. X = 950:. Marked Price = Rs 950 .

 Problem : 11 [ Profit Loss Discount ]       Solve this type of problem 11. A cycle dealer marks his goods 25 % above his cost price and allows a discount of 8 % on it. Find his gain percent. Show Answer A: Let C.P. = Rs 100.Then, marked price = Rs (100 + 25 % of 100) = Rs 125S.P. = 92 % of 125 = Rs 115Gain = S.P. - C.P. = 115 - 100 = 15Gain% = 15 %

 Problem : 12 [ Profit Loss Discount ]       Solve this type of problem 12. Successive discounts of 20 % and 10 % equivalent to a single discount of how many percent? Show Answer A: Let marked price = Rs 100 S.P. After first discount = 80 % of 100 S.P. After second discount = 90 % of 80 % of 100 = Rs 72 . This is equivalent to a single discount of ( 100 - 72 ) % = 28 %.

 Problem : 13 [ Profit Loss Discount ]       Solve this type of problem 13. If a commission of 10 % is given on the list price, the gain is 20 %. Find the gain percent, if the commission is increased to 20 %. Show Answer A: Let list price = Rs 100, commission = 10 % and gain = 20 % :. "S.P." = "Rs" 90:. "C.P." = 100/120 × 90 = Rs 75Now if commission = 20 %, Then New S.P. = Rs 80New Gain % = (5/75 × 100) % = 6.6667 %

Problem : 14 [ Profit Loss Discount ]       Solve this type of problem
14. If the manufacturer gives 20 % commission to the dealer on the printed price and if the dealer sells the item at the printed price, what is the percentage of his profit ?

Problem : 15 [ Profit Loss Discount ]       Solve this type of problem
15. A dealer gets 25 % commission on the printed price of an item. If he gives 10 % discount to the customer on printed price, find his prifit in percentage.

Problem : 16 [ Profit Loss Discount ]       Solve this type of problem
16. The printed price of a saree is Rs 900 . A cloth-mearchant purchases it at 15 % commission. He spends Rs 35 for roll-polish and then sells the saree at the printed price. What is the prifit of the merchant in percentage ?

Problem : 17 [ Profit Loss Discount ]       Solve this type of problem
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 % commission on the decided price while selling. Find the sales price of the table and the profit of the carpenter.

Problem : 18 [ Profit Loss Discount ]       Solve this type of problem
18. The printed price of a book is Rs 720 . After giving 10 % discount to the customer on the printed price, the book-seller gets 20 % profit. Find the purchase price for the book-seller.

 Problem : 19 [ Profit Loss Discount ]       Solve this type of problem 19. If 20 % discount is given on the decided price which is decided by addition of 20 % profit on the purchase price, then will there be profit or loss? What is the percentage? Show Answer A: Decided price is 20 % profit on the purchase priceDecided price = purchase price + profit = 100 + 20 = 12020 % discount is given on the decided price Discount = 20 % of decided price = 20 % of 120 = 20/100 × 120 = 24The discount is Rs 24S.P. = decided price - discount = 120 - 24 = 96Loss = Purchase Price - Selling Price = 100 - 96 = 4Hence there will be 4 % Loss in this case.

Problem : 20 [ Profit Loss Discount ]       Solve this type of problem
20. A watch manufacturing company decided the price with 25 % profit on the cost price. By selling a watch with 8 % discount on th printed price, the company has a profit of Rs 300 . Find the cost-price of a watch.