Question

Mr Patel deposited * 22,000 in a bank for 1 year at
10 p.c.p.a. Complete the following activity to find the
interest and the amount he will get.
P1R
Interest I
100
22000 x 1 x 10
100
100
Amount Principal + Interest
- 22,000 +
h work​

Answer 1

➤ Correct Question :-

Mr.Patel deposited ₹22,000 in a bank for 1 year at 10% of rate. Find the simple interest and the amount he will get.

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➤ Given :-

Principle :- ₹22000

Rate of interest :- 10%

Time :- 1 year

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➤ To Find :-

The simple interest and total amount recieved at end of the year.

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➤ Formulas required :-

Simple Interest :-

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

Total Amount :-

${\large \dashrightarrow \orange{\boxed{\tt \gray{Simple \: Interest + Principle}}}}$

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★ How to do :-

Here, we are given with the principle amount, the rate of interest and the time taken to return the money back. We are asked to find out the simple interest and the total amount recieved by Patel at end of the time period. So, first we should find the simple interest. To find the simple interest, we should multiply the principle, rate and time and then divide it by 100, or also the given formula. The obtained answer will be the simple interest. Later, we can find the total amount by adding the simple interest and the principle amount. Also, the second formula is same. So, let's solve!!

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➤ Solution :-

Simple Interest :-

${\tt \leadsto \dfrac{22000 \times 10 \times 1}{100}}$

Cancel the zeros in numerator and denominator.

${\tt \leadsto \dfrac{220 \cancel{00} \times 10 \times 1}{1 \cancel{00}}}$

Write the resulting fraction.

${\tt \leadsto \dfrac{220 \times 10 \times 1}{1}}$

Now, multiply the remaining numbers.

${\tt \leadsto 220 \times 10 \times 1 = \pink{\underline{\boxed{\tt Rs \: \: 2200}}}}$

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Now, find the total amount by using the second formula i.e, add the simple interest and principle.

Total Amount :-

${\tt \leadsto 2200 + 22000}$

${\tt \leadsto \pink{\underline{\boxed{\tt Rs \: \: 24200}}}}$

$\Huge\therefore$ The simple interest is ₹2200 and the total amount is ₹24200.

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$\dashrightarrow$ Some related formulas :-

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