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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:

Rs. 400
Rs. 500
Rs. 600
Rs. 800

Correct Answer: Rs. 500

Explanation:

Let the sum be Rs. P.

Then,	[	P	❨	1 +	10	❩	2	- P	]	= 525
					100

⟹	P	[	❨	11	❩	2	- 1	]	= 525
				10

⟹ P =	❨	525 x 100	❩	= 2500.
		21

∴ Sum = Rs . 2500.

So, S.I. = Rs.	❨	2500 x 5 x 4	❩	= Rs. 500
		100

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