Question

The difference between the simple interest on a certain sum at the rate of 10% per annum for 2 years and compound interest which is compounded every 6  months is Rs. 124.05. What  is the principal  sum ?


Options:
A .  Rs. 6000
B .  Rs. 8000
C .  Rs. 19,000
D .  Rs. 12,000
E .  None of these
Answer: Option B

Let the sum be Rs, P, Then

`P[(1 + 5/100)^4 - 1] - (P xx 10 xx 2)/(100)` = 124.05

`rArr   P[(21/20)^4 - 1 - 1/5] = 124.05`

`rArr    P[194481/160000 - 6/5] = 12405/100`

`rArr   P[(194481 - 192000)/(160000)] = 12405/100`

`rArr    P = (12405/100 xx 160000/2481)` =  8000.



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