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The true discount on a certain sum of money due after 2 1/ 2 years at 6% per annum is less than the simple interest on the same sum for the same time by Rs. 81. Find the sum?

Rs. 4140
Rs. 4240
Rs. 4150
Rs. 4250

Correct Answer: Rs. 4140

Explanation:

Req. amount = [81 x (100 + 6 x 5/2) x 100] / [(6 x 5/2)²]
= (8100 x 115) / 225
= Rs. 4140
Here, S.I. - T.D. = Rs. 81

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