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Exercises · Q10

Q.What monthly instalment should be deposited in a Recurring Deposit account for 18 months at 8% per annum to receive a maturity value of ₹19,140?

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Here M=₹19,140M=₹19{,}140, r=8%r=8\%, n=18n=18 months, and the monthly instalment PP is unknown.

Step 1 — Factor PP out of the RD formula.

M=P[n+r n(n+1)2400]M = P\left[n+\frac{r\,n(n+1)}{2400}\right]

Step 2 — Evaluate the bracket.

18+8×18×192400=18+2,7362400=18+1.14=19.1418 + \frac{8\times18\times19}{2400} = 18 + \frac{2{,}736}{2400} = 18+1.14 = 19.14

Step 3 — Solve for PP.

P=19,14019.14=₹1,000P = \frac{19{,}140}{19.14} = ₹1{,}000 …

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