Profit and Loss, General Mathematics

Question: By selling a pen for tk 15, a man loses on- sixteenth of what is costs him. The cost price of the pen is:
A
Tk 18

B
Tk 20

C
Tk 21

D
Tk 16

Note: Let the C.P be tk x Then, x - 15 = `x/16` or,x-`x/16` = 15 or, `15x/16` =15 or, x = 16 `:.`C.P = tk 16
1. Report
Question: If by selling 110 mangoes, the C.P of 120 mangoes is realize. the gain percent is:
A
`11 1/9` %

B
`9 1/9` %

C
`10 10/11` %

D
`9 1/11` %

Note: Let C.P of each mangoes be Tk 1 C.P of 110 mangoes be Tk 110 S.P of 110 mangoes be Tk 120 `:.` Gain % =`(10/100xx100)`% =`9 1/11` %
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Question: By selling an article, sheetal earned a profit equal to `1/4`th of the price he brought it. If he sold it for tk 375, what was the cost price?
A
Tk 281.75

B
Tk 300

C
Tk 312.50

D
Tk 350

Note: S.P =C.P + `1/4` C.P = `4/5` C.P `:.`5/4 C.P = 375 or, C.P =`(375xx 4/5)` = tk 300
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Question: A shopkeeper, on selling a pen for tk 10 loses `1/11` of what is costs him. His cost price is:
A
Tk 9

B
Tk 10

C
Tk 11

D
Tk 12

Note: Loss = (C.P - S.P) or, `1/11 C.P = C.P -10 or, `10/11` C.P =10 `:.` C.P = `(11xx10/10)` = tk 11
1. Report
Question: A fruit seller purchases orange at the rate of 3 for tk 5 and sells them at 2 for tk 4. His profit in the transaction is:
A
10%

B
15%

C
20%

D
25%

Note: Let the number of orange be L.C.M of 3,5,2,4 = 60 C.P of 60 oranges = Tk `(5/3xx60)` = Tk 100 S.P of 60 oranges = Tk `(4/2 xx 60)` = Tk 120 `:.` Gain % = 20 %
1. Report
Question: If i purchased 11 books for tk 10 and sold all the books at the rate of 10 books for tk 11, the profit percent is:
A
10%

B
11%

C
21%

D
100%

Note: Suppose, the number of books purchased = `11 xx 10` = 110 C.P of 110 books = Tk `((10)/11 xx 110)` =Tk 100 S.P of 110 books = Tk `((11)/10 xx 110)` =Tk 121 Profit % = 21%
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Question: A man bought a number of orange at 3 for a taka and an equal number at 2 for a taka. At what price per dozen should he sell them to make a profite of 20%?
A
Tk 4

B
Tk 5

C
Tk 6

D
Tk 7

Note: Suppose, he bought 1 dozen oranges of each kind C.P of 2 dozens = Tk `(1/3 xx 12 + 1/2xx12)` = Tk 10 profit = 20 % `:.` S.P of 2 dozens = 120 % of Tk 10 = Tk `((120)/100 xx 10)` = Tk 12 `:.` S. P per dozen = Tk 6
1. Report
Question: A dealer professing to sell his at sell his goods at cost price, uses a 900 gm weight for a kilogram . His gain percent is :
A
9

B
10

C
11

D
`11 1/2`

Note: Gain%= `((100)/900 XX 100)` % =`11 1/9` %
1. Report
Question: A dishonest dealer professions to sell his goods at cost price. But his uses a 900 gm weight for a kilogram. His gain percent is :
A
953 gms

B
940 gms

C
960 gms

D
947 gms

Note: Let error = x gms Then, `x/(1000-x) xx 100` = ` 6 (18)/47` or, `100x/(1000-x) ` = `300/47` or, `47 xx x` = ` 3(1000 - x)` or, ` 50xx x` =3000 or, x = 60 `:.` weight used =`(1000- 60) =940 gms
1. Report
Question: A gain dealer cheats to the extent of 10 % while buying as well as selling, by using false weights. His total gains is :
A
10 %

B
20 %

C
`22 2/9` %

D
21 %

Note: We know, Gain % = `(100 + commongain % )^2/100` - 100 Gain % = `((100 + 10 )^2/100 - 100)` % = `((12100 -10000)/100)` % = 21 %
1. Report

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Question: By selling a pen for tk 15, a man loses on- sixteenth of what is costs him. The cost price of the pen is:

Question: If by selling 110 mangoes, the C.P of 120 mangoes is realize. the gain percent is:

Question: By selling an article, sheetal earned a profit equal to `1/4`th of the price he brought it. If he sold it for tk 375, what was the cost price?

Question: A shopkeeper, on selling a pen for tk 10 loses `1/11` of what is costs him. His cost price is:

Question: A fruit seller purchases orange at the rate of 3 for tk 5 and sells them at 2 for tk 4. His profit in the transaction is:

Question: If i purchased 11 books for tk 10 and sold all the books at the rate of 10 books for tk 11, the profit percent is:

Question: A man bought a number of orange at 3 for a taka and an equal number at 2 for a taka. At what price per dozen should he sell them to make a profite of 20%?

Question: A dealer professing to sell his at sell his goods at cost price, uses a 900 gm weight for a kilogram . His gain percent is :

Question: A dishonest dealer professions to sell his goods at cost price. But his uses a 900 gm weight for a kilogram. His gain percent is :

Question: A gain dealer cheats to the extent of 10 % while buying as well as selling, by using false weights. His total gains is :