ICSE Class 10 • 2024 • 3 Marks

Commercial Mathematics: Recurring Deposit Maturity Value

Official examination question with verified M1/A1 mark scheme and step-by-step mathematical reasoning.

Problem Statement

Priya has a recurring deposit account for $2$ years at $9\%$ p.a. simple interest. If she receives $₹3,330$ as interest at maturity, find: (i) Monthly installment $P$. (ii) Total maturity amount.

Verified Solution & Marking Scheme

RD Interest Formula
$n = 24$. $I = P \times \frac{24 \times 25}{24} \times \frac{9}{100} = 2.25 P$.
Solve for P
$2.25 P = 3330 \implies P = \frac{3330}{2.25} = ₹1,480$
Maturity Value
$\text{MV} = (1480 \times 24) + 3330 = 35520 + 3330 = ₹38,850$
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