Question

Eliza deposited ₹20,000in a bank at the rate of 10% per annum. Draw a linear graph showing the time and simple interest relationship. Also, find the simple interest for 4 years

Answer 1

$Eliza \: deposited \: the \: sum \: in \: a \:bank \\(P) = Rs \: 20000$

$Rate \:of \: Interest (R) = 10\%\: per \: annum$

$Time (T) = 1 \: year$

$\boxed {\pink { I = \frac{PTR}{100} }}$

$I = \frac{ 20000 \times 1 \: 10}{100} \\= Rs \:2000$

$\begin {tabular} {|c|c|c| }</p><p>\cline {1-3} Time & Simple Interest & (T,I ) \\</p><p>\cline {1-3} 1& 2000 & (1,2000)\\</p><p>\cline {1-3} 2&4000&(2,4000)\\</p><p>\cline {1-3} 3&6000&(3,6000)\\</p><p>\cline {1-3} 4&8000&(4,8000)\\</p><p>\cline {1-3}\\</p><p>\end {tabular}$

$\red {Relationship \: between \: Time (T) \: and \\Simple \: Interest :}$

$\boxed {\ green { I = 2000 T }$

$Simple \: Interest \: for \: 4\: years = 4 \times I \\= 4 \times 2000 \\= Rs \: 8000$

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Answer 2

Given :

• principle amount = 20000 Rs
• rate = 10%
• time = t

To find :

• the simple interest for 4 years

Solution :

S. I. = (p x r x t)/100

= (20000 x 10 x t)/ 100

S.I = 2000 t .......... (1)

simple interest of per 4 years implies

t = 4

Put t = 4 in eq(1)

I = 2000 x 4

l = 8000

=> 8000Rs the simple interest for 4 years