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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,
The Compound Interest On A Certain Sum For 2 Years At 10% Pe...
P
The Compound Interest On A Certain Sum For 2 Years At 10% Pe...
1 +
10
The Compound Interest On A Certain Sum For 2 Years At 10% Pe...
2
- P
The Compound Interest On A Certain Sum For 2 Years At 10% Pe...
= 525
100



The Compound Interest On A Certain Sum For 2 Years At 10% Pe...
P
The Compound Interest On A Certain Sum For 2 Years At 10% Pe...
The Compound Interest On A Certain Sum For 2 Years At 10% Pe...
11
The Compound Interest On A Certain Sum For 2 Years At 10% Pe...
2
- 1
The Compound Interest On A Certain Sum For 2 Years At 10% Pe...
= 525
10



The Compound Interest On A Certain Sum For 2 Years At 10% Pe... P =
The Compound Interest On A Certain Sum For 2 Years At 10% Pe...
525 x 100
The Compound Interest On A Certain Sum For 2 Years At 10% Pe...
= 2500.
21


The Compound Interest On A Certain Sum For 2 Years At 10% Pe... Sum = Rs . 2500.



So, S.I. = Rs.
The Compound Interest On A Certain Sum For 2 Years At 10% Pe...
2500 x 5 x 4
The Compound Interest On A Certain Sum For 2 Years At 10% Pe...
= Rs. 500
100



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