Question

1. How long will it take for 5660 invested at 10% per annum simple interest to amount
to 7641?
Home P-3600​

Answer 1

Answer:

12.5 years

Step-by-step explanation:

Given Principle is 5660

Rate 10%

Amount 7641

Amount=Principle+SI

            =P+PTR/100

7641=P(1+TR/100

7641=5660(1+T*10/100)

T=12.5 years

Answer 2

➤ Given :-

Principle :- ₹5660

Rate of interest :- 10%

Total Amount :- ₹7641

$\:$

➤ To Find :-

Time taken to return the money back.

$\:$

➤ Formula required :-

${\tt \large \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{SI \times 100}{P \times R}}}}}$

$\:$

★ How to do :-

Here, we are given with the principle amount, the total amount and the rate of interest applied to the given sum. We should find the time taken to return the money back. So, in the given formula we are not provided with the simple interest which is necessary to find the time. So, first we should find the simple interest by subtracting the total amount and the principle and then, we can use the given formula to find the time taken.

$\:$

➤ Solution :-

Simple Interest :-

${\tt \leadsto 7641 - 5660}$

${\tt \leadsto Rs \: \: 1981}$

$\:$

Now,

Time :-

${\tt \leadsto \dfrac{1981 \times 100}{5660 \times 10}}$

${\tt \leadsto \dfrac{1981 \times \cancel{100}}{\cancel{56600}} = \dfrac{1981 \times 1}{566}}$

${\tt \leadsto \cancel \dfrac{1981}{566} = \boxed{\tt 3.5 \: \: years}}$

$\Huge\therefore$ The time taken to return the money back is 3.5 years.

━━━━━━━━━━━━━━━━━━━━━━

$\dashrightarrow$ Some related formulas :-

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

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

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