SSC GD Constable 4 Feb 2025 Shift 2 Paper

Section: Elementary Mathematics

Question : 60 of 80

Marks: +1, -0

Amit invests a sum of ₹5400 and Gopal invests a sum of ₹9400 at the same rate of simple interest per annum. If, at the end of 4 years, Gopal gets ₹480 more interest than Amit, then find the rate of interest per annum (in percentage).

Validate

Solution:

Simple Interest

( SI )= P × \;{ r × t }/{100}

Calculation:
Interest for Amit:

I_A=₹ 5400 × \;{r × 4}/{100}

Interest for Gopal:

I_G=₹ 9400 × \;{r × 4}/{100}

Given,

I _{ G }- I _{ A }=480

\;⇒ ₹ 9400 × \;{r × 4}/{100}-₹ 5400 × \;{r × 4}/{100}=480

\;⇒ ₹(9400-5400) × \;{r × 4}/{100}=480

\;⇒ ₹ 4000 × \;{r × 4}/{100}=480

\;⇒ \;{16000 r}/{100}=480

\;⇒ 160 r=480

\;⇒ r=\;{480}/{160}

\;⇒ r=3 \%

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