Question

the intrest on a Certain sum (principle) at 6 percent per annum is 300 find the intrest on the same sun at 5 percent per annum for the same period with method ​

Answer 1

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \boxed{\boxed { \huge \mathcal\red{ solution}}}}$

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•USING FORMULAS

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For a principal amount of P at the interest rate of r per annum in t years if the interest is I then ...

1) For Simple Interest

$\bf\rightarrow \boxed{I=\frac{P\times r\times t}{100}}$

2)For Compound Interest

$\bf\rightarrow \boxed{I=P(1+\frac{r}{100}){}^{nt}}$

where, n=interest period

Ex. If the principal is compounded

annually(per year) then ,

n=1

If the principal is compounded

half yearly(in every 6 months) then ,

n=2

If the principal is compounded

quarterly (in every 3 months) then ,

n=4

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• Let's Head to the Problem Now

Intrest on a Certain sum (principle) at 6 percent per annum is 300.

Let, the sum is =P Rs

Given:

•interest rate(r)=6%

•interest(I)=300 Rs

•time(t)=1 year

therefore...

$\implies 300 = \frac{p \times 6 \times 1}{100} \\ \implies \: p = \frac{ \cancel{300} \times 100}{ \cancel6} \\ \implies \: p = 5000 \: rs$

therefore the intetest on 5000 Rs at the interest rate of 5% is $I_{new}$

$\implies \: I_{new}= \frac{50 \cancel{00} \times 5 \times 1}{1 \cancel{00}} \\ \implies \boxed{ \red{I_{new}= 250 \: Rs}}$

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$\underline{ \huge\mathfrak{hope \: this \: helps \: you}}$

$\mathcal{ \#\mathcal{answer with quality }\: \: \& \: \: \#BAL }$

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Answer 2

$\: \: \: \: \: \: \: \: \: \boxed{ \boxed{\boxed { \huge \mathcal\red{ solution}}}}$

______________________________________________

•USING FORMULAS

______________________________________________

For a principal amount of P at the interest rate of r per annum in t years if the interest is I then ...

1) For Simple Interest

$\bf\rightarrow \boxed{I=\frac{P\times r\times t}{100}}$

2)For Compound Interest

$\bf\rightarrow \boxed{I=P(1+\frac{r}{100}){}^{nt}}$

where, n=interest period

Ex. If the principal is compounded

annually(per year) then ,

n=1

If the principal is compounded

half yearly(in every 6 months) then ,

n=2

If the principal is compounded

quarterly (in every 3 months) then ,

n=4

______________________________________________

Let's Head to the Problem Now

Intrest on a Certain sum (principle) at 6 percent per annum is 300.

Let, the sum is =P Rs

Given:

•interest rate(r)=6%

•interest(I)=300 Rs

•time(t)=1 year

therefore

⟹300= P×6×1/100

⟹p= 300×100/6

⟹P = 500rs

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therefore the intetest on 5000 Rs at the interest rate of 5% is new.

⟹Inew= Rs 250

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