The simple interest on a certain sum of money for 5 years at 12% per annum is Tk. 40 less than the simple interest on the same sum for 5 years at 10% per annum. Find the sum-

A    Tk 700

B    Tk. 800

C    Tk. 900

D    None of these

Solution

Correct Answer: Option B

 

The simple interest on a certain sum of money for 2.5 years at 12% per annum is Tk. 40 less than the simple interest on the same sum for 3.5 years at 10% per annum.

The simple interest on a certain sum of money for 2.5 years at 12% per annum = npr = 2.5X.12Xp

the simple interest on the same sum for 3.5 years at 10% per annum = npr = 3.5X.1Xp

So,

2.5X.12Xp  + 40 = 3.5X.1Xp

=> ,3p + 40 =  0.35 p 

=> .05p =40

=> p = 800

 

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