COMPACT Questions (Profit - Loss & Discount)

COMPACT Profit & Loss

* Profit= Sp - Cp

* Loss= Cp - Sp

* Profit% = P/Cp x 100

* Loss%=L/Cp x 100

* Cp= (Sp x 100)/(100+p)%

* Cp= (Sp x 100)/(100- L)%

* Sp= Mp(100- D)%/100

* Sp= Cp(100+ P)%/100

* Discount= Mp - Sp

* D%= (D x100)/Mp

* Mp/Cp =(100%+ P%)/(100- D%)

1) Find the cost price of an article which is sold at ₹630 at profit of12.5%.    ₹500

2) Find the CP of an article which is sold at ₹1470 at a profit of 50/3%.      ₹1260

3) A shopkeeper sells his article at 50/3% profit in Sp. Find  his actual profit% .                    20%

4) A shopkeeper sales his goods at 25/3% profit on SP. find the actual profit%.            100/11%

5) A man sells his goods at 25% loss on SP. Find his loss%.                   20%

6) Cost price of a 16 article is equal to SP of 14 articles. find profit or loss%.   100/7%

7) A man finds that CP of 2750 articles is equal to SP of 2500 articles. Find profit or loss percent.              10% P

8) Cost price of 12 articles is equals to SP of 9 articles. While the discount on 10 article is equals to the profit earned on 5 articles. Find the difference between profit and discount%.    33.33%, 11.11%

9) CP of 12 articles is equal to the SP of 9 articles while the discount on 8 articles is equal to profit on 6 articles. Find the difference between profit percent and discount percent.               17.5%

10) After selling 72 articles a man losses SP of 9 articles. find loss%.    100/9%

11) After selling of 72 articles a man earns a profit of Sp of 9 articles. Find profit%.                 100/7%

12) After selling 72 articles a man earns a profit of Cp of 9 article. Find P%.  25/2%

13) After selling 10 candles a man earn a profit of The Sp 3 pens. While selling 10 pens a man losses SP of 4 candles. The numerical value of p% and loss% is equal and the CP of candle is half of the CP of the pen. Find the ratio of SP of candle to Pen.                3:2

14) The profit earned when article is sold for ₹800 is 20 times the loss incurred when it is sold for ₹275. Find at what price he sold his goods if he wants to earn 20% profit.                        360

15) Profit after selling an article for ₹717 is 100/9% more than loss incurred when it is sold at ₹527. What would be the selling price if he wants to earn a profit of 10%.                 678.70

16) A shopkeeper sells at 9% loss. Had he sold it ₹750 more, then he would gain 7%. Find initial cost price.           4687.50

17) A shopkeeper sells his goods at 7% profit. Had he sold it ₹4248 more than he would gain 13% profit. Find initial CP.  70800

18) A shopkeeper sells his goods at 20% profit. Had he purchased it for 10% less and sold it ₹18 less than he would gain 30%. Find the initial Cp.            600

19) A man sells his goods at 10% profit. Had he purchase it for 20% less and sold it for rupees 20 more than he would gain 40%. Find the initial CP.             1000

20) A man sales his goods at 25% profit. Had he purchased it for ₹900 less and sold it for ₹900 less than he would gain 5% more profit. Find the initial Cp.   5400

21) A man sells his goods at 20% profit. Had he purchase it for ₹600 less and sold it for ₹400 less then he would gain 10% more profit . Find the initial cost price.                     ₹3800

22) A man purchase some article at the rate of articles for ₹10 and sales all the articles @ 10 articles for  ₹11. Find profit and loss percent.             21%P

23) A man purchase some pencils @ 6 pencils for ₹5 while he sales all the articles @ 5 article for ₹6. Find overall profit or loss%.                          33%p

24) A man purchase some oranges @ one orange for Rs 2 and some number of oranges @ 2 orange for ₹1 and he sales all of them @ 4 oranges for ₹3. Find profit and loss%.                  40%L

25) A man buys some oranges at the rate of 5 for ₹1 and some number of oranges @ 4 ₹ 1. He sold all of them @ 9 for ₹2. During the whole transaction he incurrs a loss of ₹30. Find the number of articles that he purchase.         10800

26) A dishonest shopkeeper promised to sell his goods at its CP but he uses 30% less weigt. Find the profit%.      300/7%

27) A dishonest shopkeeper promised to sell his good at its CP. but he uses 960 gm weight instead of 1 kg find p%.   25/6%

28) A shopkeeper promised to sell his goods of 44% loss but he uses 30% less weight. Find actual loss%.        20%

29) A shopkeeper promised to sell his goods at 10% profit But he uses 20% loss weight. Find the profit%.     65/2%

30) A shopkeeper promise to sell his goods at x% profit but he uses 20% less weight thus gain 65/2%. find x.       1100

31) A shopkeeper promise to sell his goods at x% loss but  he uses 20% less weight thus gain 20%. find x.     960

32) A shopkeeper promise to sell his goods at x% loss but he uses 25% less weight thus gain 20%, find x.     

33) A dishonest shopkeeper makes a cheating of 20% at the time of buying the goods and 40% cheating at the time of selling the goods . He promise to sell his goods at 10% loss. Find the profit%.   80

34) A shopkeeper marks his goods 40% above the CP and gives 25% discount to customer. At the time of selling the goods he uses 800 gram weight instead of 1 kg. Find his profit%.       31.25%

35) A shopkeeper marks his goods 20% above the CP and gives 10% discount to the customer. At the time of selling the goods he uses 900 grams weight instead of 1 kg and at the time of buying he uses 1100gm instead of 1 kg. Find his profit percent.            32%

36) A dishonest shopkeeper makes a cheating of 10% at the time of buying the goods and 10% cheating at the time of selling the goods . Find the p%.    21%

37) A man purchase some number of oranges at the rate of 11 oranges for ₹1. How many for a Rupees did he sales to gain 10%.                       11

38) A man purchased some number of oranges @ 25 oranges for Rs 1. How many for a ₹ did he sale to gain 25%.   20

39) By selling 32 Oranges for a ₹ a man loss 40%. How many for a Rupee did he sell to earn 20%.                    16

40) By selling 12 oranges for a rupees a man loss 20%. How many for a Rupees did he sell to earn 20%.                8

41) By selling 45 oranges for ₹40 a man loss 20%. How many did he sale for ₹24 to earn 20%.                        18 

42) Simran makes 750 articles at a cost of 60 paise /article. He fixed the selling price such that if any 600 articles are sold , he would have made profit of 40% on the outlay. However, 120 articles get spoiled and he was able to sell 630 articles at this price. Find the actual profit% as the percentage of total outlay assuming that he unsold articles are useless.                     47%

43) A man purchase some number of articles at ₹5400 and he sales 2/3rd of them at 5% profit. At what profit% did he sell the remaining two gain 13% overall.       29%

44) A man purchase some number of articles at ₹189000 and he sells 3/8 of them at 12% profit. At what loss% did he sell the remaining to gain 4% of overall .   32%

45) A manufacturer estimates that on inspection 12% of the articles he produces will be rejected. He accept an order to supply 22000 articles at  ₹7.50 each. He estimates the profit on his outlay including the manufacturing of rejected articles to be 20%. Find cost of manufacturing each article.   5.50

46) A shopkeeper allow 25% discount on mark price and earn 30% profit . If he gets ₹90 as profit. Find the amount of discount.                   130

47) By how much percent of a shopkeeper mark his goods above its CP so as by giving 20% discount he may gain 10%.             65/2%

48) By how much percent a shopkeeper marks his goods above its CP so as by giving 10% discount he may gain 30%.    400/9%

49) A shopkeeper marks his goods at such a price that after allowing a discount of 12.5% on the mark price he can earn a profit of 20%, if the article cost him ₹1400 then find its mark price.     1920

50) A shopkeeper gives 25% discount to his customer but he sells only smuggled goods and as a bribe he pays 10% on the cost price. Find what should be the MP if he desires to make a profit of 100/11% and the cost price of article is ₹2500.   2750

51) By selling an articles for ₹1170 a man allows 10% discount and earn 30% profit. If the article is sold at 0% discount what should be the profit %.       400/9%

52) By selling an article for ₹15600 a man allow 8% discount and 19.6% profit . If the article is sold at 0% discount, what should be the profit%.      30%

53) By selling an article for  ₹1170 a man allows 10% discount and earn 30% profit. If the article is sold at 5% discount. What should be the profit %.      335/9%

54) A shopkeeper give 3 articles free on purchase purchase of every 5 articles. He also allow a discount of 20% &  to still earn 25% profit . Find the ratio of CP and MP.                     2:5

55) A shopkeeper give 1 article free on the purchase of every 15 articles, he also allows a discount of 4% to customer and still earn 35% profit.  Find the ratio of CP and MP.           2:3

56) A shopkeeper give 4 articles free on the purchase of every 12 articles he also allow a discount of 20% to customer and still earn 20% profit. Find the ratio of CP to MP of the article.         1:2

57) Akansha Publication published 3500 books for ₹350000 at CP, he gives 500 books free to some book shops, he also allowed a discount of 25% on the mark price and give one book free for every purchase of 29 books. Find the amount of profit or loss if the mark price of each book is ₹160.                  1200

58) A rickshaw dealer buys 30 rickshaws for ₹4725. of these 8 are 4 seaters and the rest are 2 seaters . At what price must he sell the four seaters so that if he sells the two seaters at 3/4th of this price, he makes a profit of 40% on his outlay.                       ₹270

59) A man sold a book at 9% profit and a pen at 30% profit. If he sold the book at 13% profit and the pen at 9% profit, he gain ₹80 more. Find the cost price of book and pen. If he purchase both at ₹20000.                         11000,9000

60) A man purchase a book and a pen for ₹25000. He sold the book at 13% profit and pens at 17% profit . If he sold the book at 17% prifit and pen at 13% profit he earns ₹80 more. Find thier individual cost price.        13500,11500

61) A shopkeeper bought two cycles in ₹1600. If he sold first cycle at 10% profit and second at 20% profit, he earns a certain profit. If he sold first at 20% profit and second at 10% profit , he get Rs 5 more the price of both the cycles is ?              ₹825,₹775

62) The total cost of 8 books and 5 pens is ₹92. Then the cost of 3 books and 2 pens if the cost of 5 books of and 8 pens  is ₹77.                ₹35

63) Rakesh has 2 bats and one ball. The cost of a ball is ₹96. If he sells the ball along the value of the first bat, the amount received will be twice the value of the second bat. But if he sells the ball with the second bat. The amount received will be less than the value of the first bat by ₹306. What is the value of the first bat?                   ₹ 900,₹498

64) Simran sales the pen at 5% loss and a book at 15% profit , he gets ₹7 as profit. If he sells the pen at 57 profit and the book at 10% profit , he gets ₹6 more. The prices of book and pens are ?   89, 100

65) A man sales a tablet at 12% loss and a book on 19% Profit, and earns a profit of ₹160 but if he sales the table 12% profit and book at 16% less than he bears a loss of ₹40. Find the price of the book.                  4000, 5000

66) A man sells a tablet at 50% profit and a chair at 12% loss and earn ₹500 as profit . If he sell the table at 12% loss and chair at 15% profit then he bears no profit no loss. Find the price of table and chair ?               10000, 8000

67) A man sales a book and a table at 13% and 9% profit respectively, and earns ₹1060 as profit. But if he sells the book at 50/3% profit and table at 100/9% loss then bears no profit no loss. Find their CP?            4000, 6000

68) A man sells two articles first at 15% loss and second at 19% profit, If during the whole transaction he bears a loss of ₹90 if he sells both article at same price then find the cost price of the second article ?                   ₹4500

69) a man sell two articles first on 20% loss and second 160% profit. Find their selling price if the difference between the CP is ₹3200. If the selling price of both the articles is same.      5120

70) A man sell 3 articles at same price. first on 20% profit, 2nd on 10% loss, third on 25% loss. During the whole transaction he bears a loss of ₹120. Find the selling price of each article ?  432

71) A man sells 2 articles for ₹1710. He sells 1st at 10% loss & 2nd at 25% profit. Find the amount of overall profit% loss if the cost price of first artical is equal to the selling price of 2nd article?  ₹90

72) The selling price of A and B are ₹1800 each. A calculate his profit% on SP while B on CP . Find the difference between their CP if both claims 20% profit ?                    ₹60

73) A and B purchase an article on same price. Later on C purchase both article from A and B at ₹240 each from A and B. But the profit% of A was p% while profit% of B was q%, since B calculate his profit on SP . If C sales one of the article to D at p% profit. What is the cost price for D if q= 125/3% profit  ?        576

74) A company allow 15% discount to his customer and still earn 19% profit . If the production cost of the product is increased by 12% therefore company issued a new list price which is 10% higher than the previous list price and company still allow 15% discount to his customer. Find the new profit% of the company ?        135/8%

75) A man purchase a home and a shop. He sold the shop at 10% profit and home at 10% loss and selling price of both the articles is same (Rs 100000 rupees each ). Find the amount of loss ?    2/99 lakh

76) A dealer sold 2 TV set for ₹2400 each. and  earn 20% profit on 1st article and 20% loss on 2nd article. Find his total profit or loss ?             

77) A shopkeeper bought some books at discount of 20% on list price. If he want to mark them at such a price that after giving a discount of 20% he still makes a profit of 25%. Find the profit percent of the list price he should mark on its goods above its CP.               225/4%