Question

divide rupees 12000 in two parts such that the simple interest on the first part for 2 years at 6% per annum is equal to the simple interest on the second part for 3 years at 8% per annum


fast genius

Answer 1

hope its help you........

Answer 2

Let the first part be x 
Then the second part be 12000 - x 
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SI 
When 
P = x 
R = 6% P.A. 
T = 2 years 
SI = PRT/100 
    = x . 6 . 2 / 100 
    = 12 x / 100 ________________________(1)
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SI when 
P = (12000- x ) 
R = 8% P.A.
T = 3 years 
SI = (12000 - x) . 8 . 3 / 100
    = 28800 - 24 x / 100  _____________________(2)
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By (1) and (2) we get 

12 x / 100 = 28800 - 24 x / 100 

12 x          = 28800 - 24 x 

x               = 24000 - 2x 

3x             = 24000 

x               = 8000

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First part = 8000 

Second part = 12000 - x = 12000 - 8000 = 4000 
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