Question

find different between cmpound intrest and simple intrest at 45000 at 12% for five years​

Answer 1

7305.37 Rs.

Step-by-step explanation:

According to the question,

Principal Amount, P = 45,000 Rs.

Rate of interest, r = 12% per annum

Time, t = 5 years

Now,

According to the formula of Simple Interest, S.I., we can say that,

Also,

From the formula of Compound Interest, CI, we can say that,

So,

Difference of Ci and SI, is given by,

CI - SI = 34305.37 - 27000

CI - SI = 7305.37 Rs.

hope it's help u ✌️‼️‼️

Answer 2

$\sf \large \red{\underline{ Question:-}}$

• Find different between compound intrest and simple intrest at 45000 at 12% for five years

$\sf \large \green{\underline{Given:-}}$

• $\sf \: principal \: = 45000$

• $\sf rate \: = 12\%$

• $\sf \: time \: = 5 year$

$\sf \large \orange{\underline{To \: Find:-}}$

• find different between cmpound intrest and simple intrest

$\sf \large \pink{\underline{Solution :- }}$

$\sf \: we \: know \: the \: formula \to \\ \\ \sf \boxed{ \sf \purple{simple \: interest \: = \frac{principal \times rate \times time}{100} }}$

$\large{ \bf putting \: all \: values : - }$

$\sf \to \: \: simple \: interest \: = \frac{45000 \times 12 \times 5}{100} \\ \\ \sf \to \: \: simple \: interest \: = 450 \times 60 \\ \\ \sf \to \: \: simple \: interest \blue{= 27000}$

$\sf \: we \: know \: the \: formula \to\\\\\sf \boxed{ \sf \: \orange { \: a \: = p \: (1 + {\frac{r}{100} )}^{2} }} \\ \:$

$\large{ \sf putting \: all \: values : - }$

$\sf \to \: a \: = 45000( {1 + \frac{12}{100} )}^{5} \\ \\ \sf \to \: a \: = 45000 ( { \frac{112}{100} )}^{5} \\ \\ \sf \to \: a \: = 45000 \times \frac{112}{100} \times \frac{112}{100} \times \frac{112}{100} \times \frac{112}{100} \times \frac{112}{100} </p><p> \\ \\ \sf \to \: a \: = 45000 \times1.2 \times 1.2 \times 1.2 \times 1.2 \times 1.2 \\ \\ \sf \to \pink{ a \: = 79305.37}$

$\bf \: we \: know \: the \: formula \to \:$

$\boxed{ \sf \red{compound \: interest = a \: - \: p}} \\ \\ \sf \: compound \: interest \: = 79305.37- 45000 \\ \\ \sf \: compound \: interest \green{ = 34305.37}$

$\bf \: Different \: Cl \: and \: si \to \:$

$\sf \to \: \: 34305.37 - 27000 \\\\ \sf \to \:\: \red{7305 .37}$