SSC GD Constable 4 Feb 2025 Shift 1 Paper

Section: Elementary Mathematics

Question : 57 of 80

Marks: +1, -0

Vipul invests a sum of ₹5400 and Vijay invests a sum of ₹9400 at the same rate of simple interest per annum. If, at the end of 5 years, Vijay gets ₹840 more interest than Vipul, then find the rate of interest per annum (in percentage).

Validate

Solution:

Simple Interest

( SI )= P × \;{ r }/{100} × t

Calculations:
Let the rate of interest be

r \%

per annum.

\;\;\text " Interest for Vipul "\;=5400 × \;{r}/{100} × 5

\;\;\text " Interest for Vijay "\;=9400 × \;{r}/{100} × 5

\;\;\text " Difference in interest "\;=₹ 840

\;⇒ 9400 × \;{r}/{100} × 5-5400 × \;{r}/{100} × 5=840

\;⇒ 5 r (\;{9400}/{100}-\;{5400}/{100}) =840

\;⇒ 5 r(94-54)=840

\;⇒ 5 r × 40=840

\;⇒ 200 r=840

\;⇒ r=\;{840}/{200}

\;⇒ r=4.2

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