Question

Step of this question Malati borrowed 50,000 from a bank for 1 year at the rate of 9.5 p.c.p.a. What amount will she return to the bank at the end of the year?​

Answer 1

Step-by-step explanation:

She will return money at the end of the year =50000(1+9.5/100)

=50000×109.5/100

=500×109.5

=54750Rs

Answer 2

➤ Given :-

Principle :- ₹ 50000

Rate of interest :- 9.5%

Time :- 1 year

➤ To Find :-

Total amount returned to the bank at end of the year

➤ Formula required :-

${\large \tt \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{P \times R \times T}{100} + Principle}}}}$

➤ Solution :-

First, we should find the value of the simple interest by multiplying the principle, rate and time and then divide by 100 and then we should add the simple interest with principle

Simple Interest :-

${\tt \longrightarrow \dfrac{50000 \times 9.5 \times 1}{100}}$

${\tt \longrightarrow \dfrac{\cancel{50000} \times 9.5 \times 1}{\cancel{100}} = \boxed{\tt 500 \times 9.5 \times 1}}$

${\tt \longrightarrow 500 \times 9.5 = \boxed{\tt Rs \: \: 4750}}$

Now,

Total amount :-

${\tt \longrightarrow 4750 + 50000}$

${\tt \longrightarrow Rs \: \: 54750}$

$\Huge\therefore$ The total amount to be returned to the bank at the end of the year is ₹ 54750.

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$\dashrightarrow$ Some related formulas :-

Simple Interest :-${\boxed{\tt\dfrac{P \times R \times T}{100}}}$

Principle :- ${\boxed{\tt\dfrac{SI \times 100}{R \times T}}}$

Rate of interest :- ${\boxed{\tt\dfrac{SI \times 100}{P \times T}}}$

Time :- ${\boxed{\tt\dfrac{SI \times 100}{P \times R}}}$

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More to know :-

• Simple Interest is the extra amount to be given when a person borrows some money from a person or a bank. The person who gives money is called lender. The person who takes money is called borrower.
• Principal is the amount given at first from lender to borrower.
• Rate of interest is the extra amount to be given from borrower to lender. It is always written in percentage format.
• Time is given for the borrower to return back the given money with the given interest.