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Answer:

Chapter 1 - India-Size and Location.

Chapter 2 - Physical Features of India.

Chapter 3 - Drainage.

Chapter 4 - Climate.

Chapter 5 - Natural Vegetation and Wildlife.

Chapter 6 - Population.\large\underline{\sf{Solution-}}

Solution−

Given that,

Amounts deposited in bank every month, P = Rs 100

Rate of interest, r = 5 % per annum

Time period = 5 years

So,

Number of instâllments, n = 12 × 5 = 60

We know,

Maturity Value (MV) received on a certain sum of money of Rs P deposited every month at the rate of r % per annum for n months is given by

\begin{gathered} \bold{{\boxed{\text{MV} = \text{nP} + \text{P} \times \dfrac{ \text{n(n + 1)}}{24} \times \dfrac{ \text{r}}{100} }}} \\ \end{gathered}

MV=nP+P×

24

n(n + 1)

×

100

r

So, on substituting the values of n, P and r, we get

\begin{gathered}\rm \: \text{MV} = {60 \times 100} + 100 \times \dfrac{ 60(60 + 1)}{24} \times \dfrac{{5}}{100}\\ \end{gathered}

MV=60×100+100×

24

60(60+1)

×

100

5

\begin{gathered}\rm \: \text{MV} = 6000 + \dfrac{ 5(60 + 1)}{2} \times 5\\ \end{gathered}

MV=6000+

2

5(60+1)

×5

\begin{gathered}\rm \: \text{MV} = 6000 + \dfrac{ 25 \times 61}{2}\\ \end{gathered}

MV=6000+

2

25×61

\begin{gathered}\rm \: \text{MV} = 6000 +762.50\\ \end{gathered}

MV=6000+762.50

\begin{gathered}\rm\implies \:\boxed{ \bf{ \:MV \: = \: Rs \: 6762.50 \: \: }} \\ \end{gathered}

⟹

MV=Rs6762.50

So, Manoj will get Rs 6762.50 on the maturity after 5 years.

\rule{190pt}{2pt}

Additional Information :-

Interest (l) received on a certain sum of money of Rs P deposited every month at the rate of r % per annum for n months is given by

\begin{gather