Percentage, General Mathematics

Question:If A's height is 24% less than that of B, then how much percent is B's height more than that of A ? 
AnswerRequired percentage 

   = `{24/(100-24) xx 100}`% 

   = 31.57%.

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Question:If the price of tea is increased by 20%, find by how much percent must a householder reduce her consumption of tea so as not to increase the expenditure ? 
AnswerReduction in Consumption 

 = `{ R/(100+R) xx 100}` % 

 =`(20/120 xx 100)` % 

 = `16 2/3` %.

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Question:If the price of sugar decreases by 20%,find by how much percent must a house holder increase her consumption of sugar so as not to decrease the expenditure ? 
AnswerIncrease in consumption 

 = `{R/(100-R xx 100)}` %

 = `(20/80 xx 100)` % 

 = 25 %.

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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 ? 
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:If A's height is 24% less than that of B, then how much percent is B's height more than that of A ?

Question:If the price of tea is increased by 20%, find by how much percent must a householder reduce her consumption of tea so as not to increase the expenditure ?

Question:If the price of sugar decreases by 20%,find by how much percent must a house holder increase her consumption of sugar so as not to decrease the expenditure ?

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 ?