ABC26GN4139 · Compound Interest

(P.W. of ₹$x$ due 1 year hence) + (P.W. of ₹$x$ due 2 years hence) + (P.W. of ₹$x$ due 3 years hence) $=7620$. $$\begin{aligned} & \therefore \frac{x}{\left(1+\frac{50}{3 \times 100}\right)}+\frac{x}{\left(1+\frac{50}{3 \times 100}\right)^{2}}+\frac{x}{\left(1+\frac{50}{3 \times 100}\right)^{3}}=7620 \\ & \Leftrightarrow \frac{6 x}{7}+\frac{36 x}{49}+\frac{216 x}{343}=7620 \Leftrightarrow 294 x+252 x+216 x=7620 \times 343 \\ & \Leftrightarrow x=\left(\frac{7620 \times 343}{762}\right)=3430 . \end{aligned}$$ ∴ Amount of each instalment $=₹ 3430$.