The difference between the simple interest and the true discount on a certain sum for 6 months at 4% is Rs. 15. Find the sum?

Q: The difference between the simple interest and the true discount on a certain sum for 6 months at 4% is Rs. 15. Find the sum?

∵ 15 = [A x (4 x 1/2)2] / [100(100 + 4 x 1/2)] ⇒ 15 = (A x 4) / (100 x 102) ⇒ A = 15 x 25 x 102 ∴ A = Rs. 38, 250.

Rs. 32850
Rs. 28250
Rs. 38250
Rs. 38350

Correct Answer: Rs. 38250

Explanation:

∵ 15 = [A x (4 x 1/2)²] / [100(100 + 4 x 1/2)]
⇒ 15 = (A x 4) / (100 x 102)
⇒ A = 15 x 25 x 102
∴ A = Rs. 38, 250.

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