Question

to how many tears will rs. 6500 amount to rs.7865 at 7% p.a. simple interest​

Answer 1

$\textbf{\underline{\underline{Answer :- }}}$

$\text{The time is 3 years.}$

In 3 years Rs. 6500 amount to Rs.7865 at 7% p.a. simple interest.

$\textbf{\underline{\underline{Explanation :- }}}$

$\textsf{\underline{\underline{Given : }}}$

Money = Rs.6500

Amounts to = Rs.7865

Rate of interest = 7%

$\textsf{\underline{\underline{To find :}}}$

In how many years Rs.6500 amount to Rs.7865 at 7% p.a. simple interest.

$\textsf{\underline{\underline{Solution :}}}$

Here,

Principal (P) = Rs. 6500

Amount = Rs.7865

Rate of interest = 7%

$\star$ As we know :

$\rightarrow$ Amount = Principal + Simple Interest.

$\rightarrow$Simple Interest = Amount - Principal

$\tt{\implies7865 - 6500}$

$\tt{\implies1365}$

${\boxed{\bigstar{\sf\:{SI = Rs.1365}}}}$

We know that =

$\tt{\implies \: SI = \dfrac{P \times R \times T }{100} }$

So, as we need to find the number of years, basically we need to find the 'Time'

$\tt{\implies \: 1365 = \dfrac{6500 \times 7 \times T }{100} }$

$\tt{\implies \: 1365 = \dfrac{65{\cancel{00}} \times 7 \times T }{1{\cancel{00}}}}$

$\tt{\implies \: 1365 = 65\times 7 \times \: T}$

$\tt{\implies \: 1365 =455 \times T}$

$\tt{\implies \: T = \dfrac{1365}{455} }$

$\tt{\implies \: T = 3}$

${\boxed{\bigstar{\sf\:{Time = 3 \: years}}}}$

$\therefore$$\text{The time is 3 years.}$

In 3 years Rs. 6500 amount to Rs.7865 at 7% p.a. simple interest.

$\textbf{\underline{\underline{Verification :-}}}$

$\tt{\implies \: 1365 = \dfrac{6500 \times 7 \times 3 }{100} }$

$\tt{\implies \: 1365 = \dfrac{65{\cancel{00}} \times 7 \times 3 }{1{\cancel{00}}}}$

$\tt{\implies \: 1365 = 65\times 7 \times \: 3}$

$\tt{\implies \: 1365 = 65\times21}$

$\tt{\implies \: 1365 = 1365}$

When we placed the value of T (3) we got the required answer - 1365.

$\therefore$$\text{The time is 3 years.}$

In 3 years Rs. 6500 amount to Rs.7865 at 7% p.a. simple interest.