SSC GD Constable 4 Feb 2025 Shift 2 Paper

Section: Elementary Mathematics

Question : 57 of 80

Marks: +1, -0

Sarang invested some money in HDFC at 4% per annum rate of interest. What would be the corresponding simple interest (in ₹) if after 2 years, Sarang got ₹153 as compound interest, considering annual compounding?

Validate

Solution:

\;C I=P(1+r \/ 100)^t-P

\;S I=(P × r × t) \/ 100

Calculations:
Let the principal amount be P .

\;C I=P(1+4 \/ 100)^2-P

\;153=P(1.04)^2-P

\;153=P(1.0816)-P

\;153=P(1.0816-1)

\;153=P(0.0816)

\;P=153 \/ 0.0816

\;P=1875

Now, we need to calculate the simple interest

( SI )

for the same principal, rate, and time.

\;S I=(P × r × t) \/ 100

\;S I=(1875 × 4 × 2) \/ 100

\;S I=15000 \/ 100

\;S I=150

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