Question

sachin has obtained loan of 6000 from the bank to purchase a machine after 3 years 6 monts he returned an amount of rs 10200 and freed from his loan then what is the rate of simple intrest ?

Answer 1

Step-by-step explanation:

PLEASE REFER TO THE ATTACHED FILE!!

Answer 2

➤ Given :-

Principle :- ₹6000

Time :- 3 years 6 months = 3½ years

Total Amount :- ₹10200

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➤ To Find :-

The rate of interest of the loan...

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★ How to do :-

Here, we are given with the principle amount, the total amount returned back and the time taken to return the money back. We are asked to find the rate of interest applied to this loan. We have an appropriate formula to find the rate of interest. But, to find the same we are required with the simple interest which is not given here. So, first we should find the simple interest by subtracting the total amount and the principle. Later, we can find the rate of interest that is to be applied here. So, let's solve!!

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➤ Solution :-

Simple Interest :-

${\sf \leadsto \underline{\boxed{\sf Total \: Amount - Principle}}}$

Substitute the given values.

${\tt \leadsto 10200 - 6000}$

Subtract the values to get the simple interest.

${\tt \leadsto Rs.4200}$

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Now, let's find the rate of interest.

Rate of interest :-

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

Substitute the given values.

${\tt \leadsto \dfrac{4200 \times 100}{6000 \times 3.5}}$

Write the numerator and denominator in lowest form by cancellation method.

${\tt \leadsto \dfrac{\cancel{4200} \times 100}{6000 \times \cancel{3.5}} = \dfrac{1200 \times 100}{6000 \times 1}}$

Again write the numerator and denominator in lowest form by cancellation method.

${\tt \leadsto \dfrac{\cancel{1200} \times 100}{\cancel{6000} \times 1} = \dfrac{1 \times 100}{5 \times 1}}$

Now, multiply the numerators and denominators to get the answer.

${\tt \leadsto \cancel \dfrac{100}{5} = 20 \bf\%}$

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${\red{\underline{\boxed{\bf So, \: the \: rate \: of \: interest \: is \: \: 20 \%.}}}}$

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$\dashrightarrow$ Some related formulas :-

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