Question

find the amount if the principal is 800 after 5 years at the rate 13 % p.a

Answer 1

➤ Given :-

Principal :- ₹800

Rate of interest :- 13%

Time :- 5 years

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➤ To Find :-

The total amount to be paid at end of the period.

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➤ Formula required :-

${\tt \large \dashrightarrow \orange{\boxed{\tt \gray{Simple \: Interest + Principal}}}}$

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★ How to do :-

Here, we are given with the principle amount, the rate of interest and the time taken to return the money back. We should find the total amount to be paid at end of the period. We can use the given formula to find the total amount. But, we are not provided with the simple interest which is necessary to find the total amount. So, first we should find the simple interest by multiplying the principle, rate and time and then divide by 100. Later, to find the total amount we can add the simple interest and the principle. So, let's solve!!

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➤ Solution :-

Simple Interest :-

${\tt \leadsto \dfrac{800 \times 13 \times 5}{100}}$

${\tt \leadsto \dfrac{\cancel{800} \times 13 \times 5}{\cancel{100}} = \dfrac{8 \times 13 \times 5}{1}}$

${\tt \leadsto \cancel \dfrac{520}{1} = 520}$

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Now,

Total Amount :-

${\tt \leadsto 520 + 800}$

${\tt \leadsto \boxed{\tt rs \: \: 1320}}$

$\Huge\therefore$ The total amount to be paid at end of the period is ₹1320.

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$\dashrightarrow$ Some related formulas :-

${\longrightarrow \boxed{\sf Simple \: Interest = \dfrac{P \times R \times T}{100}}}$

${\longrightarrow \boxed{\sf Principal = \dfrac{SI \times 100}{R \times T}}}$

${\longrightarrow \boxed{\sf Rate \: of \: Interest = \dfrac{SI \times 100}{P \times T}}}$

${\longrightarrow \boxed{\sf Time = \dfrac{SI \times 100}{P \times R}}}$

Answer 2

Answer:

Amount= ₹920

Step-by-step explanation:

↬Let's first find the simple interest with -

$\rightarrow$ Principal = ₹800

$\rightarrow$ Time= 5 years

$\rightarrow$ Rate of Interest = 13% p.a.( per annum)

ㅤ

Simple Interest=$\frac{time×rate×principal}{100}$

ㅤ

$\frac{800 \times 5 \times 13}{100} \\ \\ = \frac{800 \times 3}{20} \\ \\ = 40 \times 3 \\ \\ = 120$

So, simple interest = ₹120.

‎ ‎ㅤ

↬Now, let's find the amount

= simple Interest+ principal

= 120+800

= ₹920.