PROFIT & LOSS (IX)

          PROFIT AND LOSS

1) A man buys oranges at 9 for Rs8.10 and sells them at 11 for Rs12.10. then gain or loss% is..

A)

2) By selling a bicycle for Rs 797.50, a man loses 8%. At what price should he sell it to gain 15% ?

3) A man goes from Agra to Delhi to buy an article which costs him Rs4350 in Delhi. If he spends Rs 250 on his travels and transportation of the article and sells it in Agra for Rs5920; Calculate his profit or loss% in the transaction.

4) By selling tea at Rs60 per kg a grocer gains 4% . At what% must he sell it in order to gain 17% ?

5) I lose 5% by selling a piece of land for Rs46740 ; what would be my gain or loss% if I sell it for RS 52890.

6) By selling 27m of clothes at a loss of 4%, I lose Rs162 altogether. What are the cost price and selling price of the cloth per metre ?

7) A man sold two items for Rs2970 each, gaining 19% on one and losing 10% on the other. Find his total loss or gain%.

8) Smith sells two bicycle for Rs 4500 each losing 20% on one and gaining 25% on the other. Calculate his total loss or profit% !

9) By selling wheat at RS 4.50 per kg, a shopkeeper gains 12.5%. find the cost of 50 kg wheat.
Also, find his profit% if he sells the wheat at Rs469 per quintal.

10) A shopkeeper buys 40 kg ghee at RS 45 per kg and another 60 kg at RS 40 per kg. If he mixes them and sells the mixture at Rs46.30 per kg, find his gain%

11) A steel almirah, coating Rs900 to the manufacturer, is sold at 15% profit. It is estimated that 5% of the selling price must be set aside to allow for overhead charges. Find the net profit, correct to one rupee.

12) Ravi buys three identical watches and sells one watch at20% profit, other at 12% profit and the third at 15% loss. If, on the whole, he earns Rs 85; find the cost price of five such watches.

13) Seventy-five unfinished articles of the same kind were bought for Rs 1275 and Rs3 article was spent on their finishing. Find the profit percentage made if, one-third of these articles were sold at Rs26 leach and the remaining at Rs22 each.

14)  A bought a radio and spent Rs110 on its repairs. He then sold it to B at 20% profit. B sold it to C at a loss of 10%. What is the amount for which A bought the radio, if C paid Rs 1080 for it ?

15) The cost of 19 apples is equal to the selling price of 16 apples. Find the profit%?

16) A reduction of 20% in the price of sugar enables Sita to buy 4 kg sugar more for Rs80 Find

a) The reduced price per kg

b) the original price per kg.

17) A dishonest dealer professes to sell his goods at the cost price, but uses a weight of 900 gm for 1 kg weight. Calculate his profit percentage.

18) A bicycle passes through the hands of these dealers each of them gain 25%. If the third dealer sells it for RS 750; what did the first pay for it.

19) John sold an article to Smith at a gain of 10%. Smith spent Rs260 on the repairing of the article and sold it to Peter at a profit of 15%. If Peter sold the article to some unknown person for Rs1966.50 and lost5% , Calculate it's cost price for John.

20) By selling 20 pens , a shopkeeper gains equal to the selling price of 4 pens. Find his gain%.

21) A dishonest fruit-vender professes to sell his goods at cost price, but he uses a weight of 460 gm for half-kg. Find his gain%

22) When a certain quantity of tea is sold at Rs53.76 per kg, the gain% is 12% and the total gain is Rs51.84. Calculate the quantity of tea sold.

23) A fruit vendor bought some oranges at 4 for Rs 3 and an equal number at 5 for Rs3. He mixed the two lots and sold these at 90 paise each. Find the gain or loss%

24) A fruit vendor bought a certain number of oranges for Rs640 and sold half of them at 20% profit. Half of the remainder were sold at 10% profit. If on the whole he makes a profit of 15%, find the profit/loss% made on the remaining oranges.

25) A fruit vendor loses 8% by selling oranges at 5 for Rs2. How many oranges should he sells for Rs5 to gain 15% ?

26) A bicycle dealer sells 9 bicycles at a profit of 8% and 5 more at a gain of 9%; he would have received Rs 48 more. Find the C. P. Of one bicycle if, all the bicycle cost the same.

27) A man has 15 barrels, all of the same capacity of oil. If he sells oil at Rs25 per litre, he loses Rs1500 on the whole and if he sells oil at Rs27 per litre, he gains Rs300 on the whole. Find the quantity, in litres, of oil in each barrel and the cost price of oil per barrel?

28) Sonal sold a book at a profit of 12%. Had she sold it for RS 3.60 more, the gain would have been 18%. Find the cost price of the book.

29) A certain number of same kind of articles are purchased for Rs13500 and one-third are sold at a loss of 10%. At what gain% should the remainder be sold, so as to gain 20% on the whole transaction?

30) A man bought a certain number of goods of which he sold ⅓ at a profit of 14%, ⅗ at a profit of 17.5% and the Remainder at a profit of 20%. What was his profit% on the whole.

MIXED PROBLEMS
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1) A Shopkeeper sold goods for Rs 2000 at a profit of 50%. Find the cost price for the shopkeeper.

2) A man buys a shirt and a trouser for Rs 371. If the trouser costs 12% more than the shirt, find the cost of the shirt.

3) Ram sold two items at the same price. If he sells one of them at a profit of 10% and the other at a loss of 10% , find the% profit/loss.

4) For the question no. 3 Find the value of the loss incurred by Ram if the price of selling each item is Rs 160.

5) If by selling 2 items for Rs 180 each the shopkeeper gains 20% on one and loses 20% on the other, find the value of the loss.

6) By selling 15 mangoes, a fruit vendor recovers the cost price of 20 mangoes. Find the profit%.

7) A dishonest shopkeeper uses a 900 gram weight instead of 1 kg weight. Find his profit% if he sells per kg at the same price as he buys a kg.

8) Ram makes a profit of 15% by selling a colour TV for Rs 6900. If the cost of manufacturing increases by 30% and the price paid by the retailer is increased by 20%, find the profit% made by Ram.

9) Find a single discount to equal three consecutive of 10%,12%,5%.

10) A reduction in the price of petrol by 10% enables a motorists to buy 5 gallons more for $180. Find the original price of petrol ?

11) A bought an article and spent Rs110 on its repairs. He then sold it to B at a profit of 20%. B sold it to C at a loss of 10%. C finally sold it for Rs1188 at a profit of 10%. How much did A pay for the article.

12) A dishonest shopkeeper professes to sell his articles at cost price but he uses false weight with which he chits by 10% while buying and by 10% while selling. Find his profit%

13) By selling 5 articles for Rs15 a man makes a profit of 20%. Find his gain or loss% if he sells 8 articles for Rs18.4 ?

14) By selling a watch for Rs495, a Shopkeeper incurs a loss of 10%. Find the cost price of the watch for the shopkeeper.

15) By selling a cap for Rs 34.40, a man gains 7.5%. what will be the CP of the cap ?

16) A phone when sold for Rs 4600 fetches a profit of 15%. Find the cost price of the phone.

17) A machine costs Rs 375. If it is sold at a loss of 20%, what will be its cost price as a % of its selling price?

18) Ram sold goods for Rs2400 and made a profit of 25% in the process. Find his profit% if he sold his goods for Rs2040.

19) A digital diary is sold for Rs935 at a profit of 10%. What would have been the actual profit or loss on it, if it had been sold for Rs 810 ?

20) A radio when sold for Rs 4500 gives a loss of 16.66% to the merchant who sells it. Calculate his loss or gain%, if he sells it for RS 5703.75.

21) By selling bouquet for Rs 63, a florist gains 5%. At what price should he sells the bouquet to gain 10% on the cost price ?

22) Ram bought 240 chocolate at RS 9 per dozen. If he sold all of them at RS 1 each, what was his profit%

23) A feeding bottle is sold for Rs 120. Sales Tax is 1/5th of this and profit 1/3rd of the remainder. Find the cost price of the bottle.

24) Ram makes a profit of 20% by selling coal at RS 25 per quintal. If he sells the coal at RS 22.50 per quintal, what is his profit% on the whole investment ?

25) The CP of a shirt and a pair of trousers is Rs 371. If the shirt costs 12% more than the trousers, find the cost price of the trouser.

26) The marked price of a table is Rs 1200, which is 20% above the cost price. It is sold at a discount of 10% on the marked price. Find the profit%.

27) 125 toffees cost Rs 75. Find the cost of one million toffees if there is a discount of 40% on the selling price for this quantity.

28) A Shopkeeper marks the price of an article at RS 80. Find the cost price if after allowing a discount of 10% he still gains 20% on the cost price.

29) From the question no 28, what will be the selling price of the article if he allows two successive discount of 5%each.

30) A dozen pairs of gloves quoted at RS 80 are available at a discount of 10%. Find how many pairs of gloves can be bought for Rs.24.

31) Find a single discount equivalent to the discount of 20%,10%,5%

32) The M. P of a calculator is Rs180. A retailer pays Rs137.70 for it by getting successive discount of 10% and another rate which is illegible. What is the 2nd discount?

33) How much% more than the C. P should a shopkeeper mark his goods, so that after allowing a discount of 12.5% he should have a gain of 5% on his outlay ?

34) In order to maintain the price line, a trader allows a discount of 10% on the M. P of goods in his shop. However, he still gains of 17% on the C. P. Find the profit% he would have made on the selling price had he sold at the M. P.

35) A whole seller allows a discount of 20% on the list price to a retailer. The retailer sells at 5% discount on the list price. If the customer paid Rs38 for an article, what profit is made by him ?

36) In question 35, find also the retailer's% profit on his cost giving your answer correct to two decimal places.

37) The cost of production of a phone in 2009 is Rs900, Divided between material, labour and overhead in the ratio 3:4:2. If the phone set is marked at a price that gives a 20% profit on the component of accounted for by labour, what is the M. P of the set ?

If subsequently in 2007, the cost of material, labour and overhead increased by 20%,30% and 10%. Calculate the cost of producing in 2007.

What should be the new M. P if the criteria for profit is to remain the same ?

38) By selling a chain for Rs960, a man incurs a loss of 4%. At what price should he sell the chain to gain 16% ?

39) A man sells 5 articles for Rs15 and makes a profit of 20%. Find his gain or loss% if he sells 8 such articles for Rs18.40.

40) The C. P of 50 mangoes is equal to the S. P of 40 mangoes. Find profit %

41) A owns a house worth 10000. He sells it to B at a profit 15%. After some time, B sells it back to A at 15% loss. Find A’S loss/profit%

42) A bought locks at the rate of 8 locks for Rs34 and sold them at the rate of 12 locks for Rs57. Find gain%

43) Ram bought an article at Rs200 and sold it at a profit of 10%. What would have been the increase in the profit% if it was sold for Rs 230 ?

44) A makes an article for Rs120 and sells to Bat a profit of 25%. B sells it to C who sells it for 198, making a profit of 10%. What profit % did B make ?

45) A reduction of 10% in the price of petrol enables a motorists to buy 6.2 litres more for Rs279. Find the reduced price per litre

46) A man buys 50 kg of oil at RS.10 per kg and another 40 kg of oil at 12 kg and mixing them. He sells the mixture at the rate of Rs11per kg. Find his gain% if he sell the whole lot

47) If the C. P of 30 articles is equal to the selling price of 20 articles. Find the profit %

48) Ram sells sugar in such a way that the selling price of 950 gm is the same as the C. P of one kg. Find his profit%

49) A dealer buys eggs at RS 36 per gross. He sells the eggs at a profit 12.5% on the C. P. What is the S.P per egg (App.)

50) A sold a table to B at 20% profit. B sold same table to C for Rs75 thereby making profit of 25%. Find the price at which A bought the table from X if it is known that X gained 25% in the transaction.