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SSC Selection Post 2019 PYQ — Question 62

SSC Selection Post - Graduation Level 2019 - 16 Oct 2019 • Quantitative Aptitude • Q62

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A sum amounts to ₹3872 in 2 years and to ₹4259.20 in 3 years at a certain rate percent p.a, if the interest is compounded annually. What is the simple interest on the same sum for 513\frac{1}{3} year at 6.75% p.a? 

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Correct answer: C

Explanation

The correct answer is Option 3 i.e. ₹1152.

CI for 3rd year = ₹4259.20 − ₹3872 = ₹387.20

r100×3872=387.20⇒r=387.20×1003872=10%\frac{r}{100} \times 3872 = 387.20 \Rightarrow r = \frac{387.20 \times 100}{3872} = 10\%

3872=P(1.1)2⇒P=38721.21=32003872 = P(1.1)^2 \Rightarrow P = \frac{3872}{1.21} = 3200

SI  =P⋅R⋅T100=3200×6.75×163100=\frac{P \cdot R \cdot T}{100} = \frac{3200 \times 6.75 \times \frac{16}{3}}{100} \\

=3200×108300=345600300=1152= \frac{3200 \times 108}{300} = \frac{345600}{300} = 1152