Question

What sum will amount to Rs.43200 at 59
p.a simple interest in 4 years ?​

Answer 1

➤ Given :-

Principle :- ₹43200

Rate of interest :- 59%

Time :- 4 years

$\:$

➤ To Find :-

The total amount of the given problem...

$\:$

★ How to do :-

Here, we are given with the principle amount, the rate of interest and the time taken to give back money. We are asked to find the total amount to be paid at end of the 4 years. We have a specific formula for finding the total amount, but for that we also need the simple interest which is not given in the question. So, first we should find the simple interest which also has a specific formula. So, first we'll find the simple interest, then we can find the total amount. So, let's solve!!

$\:$

➤ Solution :-

Simple Interest :-

${\sf \leadsto \underline{\boxed{\sf \dfrac{P \times R \times T}{100}}}}$

Substitute the given values.

${\tt \leadsto \dfrac{43200 \times 59 \times 4}{100}}$

Cancel the zeros in numerator and denominator.

${\tt \leadsto \dfrac{432 \cancel{00} \times 59 \times 4}{1 \cancel{00}} = \dfrac{432 \times 59 \times 4}{1}}$

Multiply the remaining numbers.

${\tt \leadsto 432 \times 236 = 101952}$

$\:$

So, now let's find the total amount of the statement.

Total Amount :-

${\sf \leadsto \underline{\boxed{\sf Simple \: interest + Principle}}}$

Substitute the given values.

${\tt \leadsto 101952 + 43200}$

Add the values to get the answer.

${\tt \leadsto \pink{\underline{\boxed{\tt Rs \: \: 145152}}}}$

$\Huge\therefore$ The total amount of the given sum is ₹145152.

━━━━━━━━━━━━━━━━━━━━━━

$\dashrightarrow$ Some related formulas :-

$\small\boxed{\begin{array}{cc}\large\sf\dag \: {\underline{More \: Formulae}} \\ \\ \bigstar \: \sf{Principle :- \dfrac{SI \times 100}{R \times T}} \\ \\\bigstar \: \sf{Rate \: of \: Interest :- \dfrac{SI \times 100}{P \times T}} \\ \\ \bigstar \: \sf{Time :- \dfrac{SI \times 100}{P \times R}}\end{array}}$