A certain sum of money at simple interest amounts to ₹1012 in 21/2 years and to ₹1067.20 in 4 years. The rate… · ABC26GN4044
Subject: General Aptitude · Chapter: Simple Interest
A certain sum of money at simple interest amounts to ₹1012 in $2\frac{1}{2}$ years and to ₹1067.20 in 4 years. The rate of interest per annum is
Answer
Explanation
S.I. for $1\frac{1}{2}$ years $=₹(1067.20-1012)=₹55.20$. S.I. for $2\frac{1}{2}$ years $=₹\left(55.20 \times \frac{2}{3} \times \frac{5}{2}\right)=₹92$. ∴ Principal $=₹(1012-92)=₹920$. Hence, rate $=\left(\frac{100 \times 92 \times 2}{920 \times 5}\right)\%=4\%$.
Explanation as extracted from the printed page; notation may be imperfect.
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