Question

The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525 . The simple interest on the same sum for double  the time at half  the rate percent per annum is :


Options:
A .  Rs. 400
B .  Rs. 500
C .  Rs. 600
D .  Rs. 800
Answer: Option B

Let the sum be Rs.  P , Then

`[P(1 + 10/100)^2 - P] = 525`

`hArr   P[(11/10)^2 - 1] = 525`

`hArr   P = ((525 xx 100)/(21))` =  2500

`:.`     Sum = Rs. 2500

So , S.I. = Rs. `((2500 xx 5 xx 4)/(100)) ` =  Rs. 500



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