Question

Ankita borrowed RS 4000 from her friend at the rate of 12 1\8 per amum for 3 years . Find the interest and amount paid by her

Answer 1

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

$\text{Ankita paid interest of Rs.1455}$$\text{and Amount is Rs.5455}$

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

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

Ankita borrowed = Rs. 4000

Rate of interest = $\tt{12{\dfrac{1}{8}}}$

Time = 3 years

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

The interest and amount paid by Ankita.

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

Here,

Principal (P) = Rs.4000

Rate of interest (R) = $\tt{12{\dfrac{1}{8}}}$

Time (T) = 3 years

So, Simple Interest =

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

$\tt{\implies SI = \dfrac{4000 \times 12 \frac{1}{8} \times 3}{100} }$

$\tt{\implies SI = \dfrac{4000 \times \frac{97}{8} \times 3}{100} }$

We can reduce 4000 by dividing it by 8

$\tt{\implies SI = \dfrac{500 \times 97 \times 3}{100}}$

$\tt{\implies SI = \dfrac{48500 \times 3}{100}}$

$\tt{\implies SI = \dfrac{145500}{100}}$

$\tt{\implies SI = \dfrac{1455{\cancel{00}}}{1{\cancel{00}}}}$

$\tt{\implies SI =1455}$

${\boxed{\bigstar{\sf\:{SI = Rs.1455}}}}$

We know that :

$\star$ Amount = Principal + Simple Interest

$\tt{\implies4000 + 1455}$

$\tt{\implies5455}$

${\boxed{\bigstar{\sf\:{Amount = Rs.5455}}}}$

$\therefore$$\text{Ankita paid interest of Rs.1455}$$\text{and Amount is Rs.5455}$

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

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

$\tt{\implies 1455= \dfrac{4000 \times \frac{97}{8} \times 3}{100}}$

$\tt{\implies 1455= \dfrac{500 \times 97 \times 3}{100}}$

$\tt{\implies 1455 = \dfrac{48500 \times 3}{100}}$

$\tt{\implies 1455 = \dfrac{145500}{100}}$

$\tt{\implies 1455 = \dfrac{1455{\cancel{00}}}{1{\cancel{00}}}}$

$\tt{\implies 1455 = 1455}$

When we placed the value of SI here, we got the required answer (1455)

${\boxed{\sf\:{LHS = RHS}}}$

$\therefore$$\text{Ankita paid interest of Rs.1455}$$\text{and Amount is Rs.5455}$