The true discount on a certain sum of money due after 2.5 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?

Omveer • 5.26K Points
Tutor III Math

Q. The true discount on a certain sum of money due after 2.5 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?

(A) Rs. 4140
(B) Rs. 4240
(C) Rs. 4150
(D) Rs. 4250

Correct Answer - Option(A)

Explanation by: Omveer

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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