ABC26GN4155 · Compound Interest
Subject: General Aptitude · Chapter: Compound Interest · Exam: 2008 · Marks: · Difficulty:
What will be the difference between the simple interest and compound interest accrued on an amount of ₹ 19200 at the end of 3 years @ 12 p.c.p.a.?
(a)₹ 722.6826
(b)₹ 798.1824
(c)₹ 802.5144
(d)₹ 862.6176
(e)None of these
Answer
Explanation
S.I. $=₹\left(\frac{19200 \times 12 \times 3}{100}\right)=₹ 6912$. $$\begin{aligned} & \text { C.I. }=₹\left[19200 \times\left(1+\frac{12}{100}\right)^{3}-19200\right] \\ &=₹\left[\left(19200 \times \frac{28}{25} \times \frac{28}{25} \times \frac{28}{25}\right)-19200\right] \\ &=₹\left(\frac{16859136}{625}-19200\right) \\ &=₹(26974.6176-19200)=₹ 7774.6176 . \\ & \therefore \text { Difference }=₹(7774.6176-6912)=₹ 862.6176 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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