General Mathematics

Question:The population of a town is 176400. If it increases at the rate of 5% per annum, what will be its population 2 years hence ?
What was it 2 years ago ? 
AnswerPopulation after 2 years

 = `176400 xx (1 +5/100)^2`

 = `(176400 xx 21/20 xx 21/20)` 

 = 194481.

 Population 2 years ago 

 = `176400/(1 +5/100)^2` 

 = `(176400 xx 20/21 xx 20/21)`

 = 160000.

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Question:The value of a machine depreciates at the rate of 10% per annum. If its present value is Tk. 162000,What will be its worth after 2 years ?What was the value of the machine 2 years ago ? 
AnswerValue of the machine after 2 years  

 = `Tk. [162000 xx (1 -10/100)^2]`

 = `Tk.(162000 xx 9/10 xx 9/10)` 

 = Tk. 131220.

 Value of the machine 2 years ago 

 = `Tk.{162000/(1 -10/100)^2}` 

 = `Tk (162000 xx 10/9 xx 10/9)` 

 = Tk. 200000.

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Question:A man buys an article for tk 27.50 and sells it for tk 28.60. find his gain percent. 
Answer4%

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Question:If a ratio is purchased for tk 27.50 and sells it for tk 28.60. Find his gain percent. 
AnswerC.P = Tk 450

 S.P = Tk 465.50

 Loss =Tk`(490-465.50)` 

 = Tk 24.50

 :. Loss % = `((24.50)/490xx 100)` %

  = 5%

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Question:By selling a book for tk 115.20, a man loses 10%. At what price should he sell it to gain 5%? 
AnswerLet the new S.P be Tk x

 (100-Loss%) : (1st S.P) = (100 + gain%): (2nd S.P)

 or, `(100-10)/115.20` = `(100+5)/x`

 or, x = `(105 xx 115.20/90)` = 134.40 

 `:.` New S.P = Tk 134.40

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Question:The population of a town is 176400. If it increases at the rate of 5% per annum, what will be its population 2 years hence ? What was it 2 years ago ?

Question:The value of a machine depreciates at the rate of 10% per annum. If its present value is Tk. 162000,What will be its worth after 2 years ?What was the value of the machine 2 years ago ?

Question:A man buys an article for tk 27.50 and sells it for tk 28.60. find his gain percent.

Question:If a ratio is purchased for tk 27.50 and sells it for tk 28.60. Find his gain percent.

Question:By selling a book for tk 115.20, a man loses 10%. At what price should he sell it to gain 5%?