Question

find the interst on rs 25.000 for 2yrs at the rate of 9 p.c.p.a​

Answer 1

CORRECT QUESTION:

Find the interest on Rs. 25,000 for 2 years at the rate of 9 p.c.p.a.

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REQUIRED ANSWER:

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$\Large\text{\underline{Given:-}}$

• Principal = Rs. 25,000
• Rate = 9 p.c.p.a
• Time = 2 years

$\Large\text{\underline{What To Find:-}}$

We have to find

• The compound interest.

$\Large\text{\underline{Formulas Needed:-}}$

The formula is -

• FOR AMOUNT.

$\bf \hookrightarrow A = P \bigg( 1 + \dfrac{R}{100} \bigg) ^T$

• FOR COMPOUND INTEREST.

$\bf \hookrightarrow CI = A - P$

$\Large\text{\underline{Abbreviations Used:-}}$

• CI = Compound Interest
• A = Amount
• P = Principal
• R = Rate
• T = Time

$\Large\text{\underline{Solution:-}}$

• FINDING THE AMOUNT.

Using the formula,

$\sf \Longrightarrow A = P \bigg( 1 + \dfrac{R}{100} \bigg) ^T$

Substitute the values,

$\sf \Longrightarrow A = 25000 \bigg( 1 + \dfrac{9}{100} \bigg) ^2$

Solve the brackets,

$\sf \Longrightarrow A = 25000 \bigg( \dfrac{109}{100} \bigg) ^2$

Remove the brackets,

$\sf \Longrightarrow A = 25000 \times \dfrac{109}{100} \times \dfrac{109}{100}$

Cancel the zeros,

$\sf \Longrightarrow A = 25 \times 109 \times \dfrac{109}{10}$

Multiply 25 and 109,

$\sf \Longrightarrow A = 2725 \times \dfrac{109}{10}$

Multiply 2725 with 109,

$\sf \Longrightarrow A = \dfrac{297025}{10}$

Divide 297025 by 10,

$\sf \Longrightarrow A = Rs. \: 29702.5$

• FINDING THE COMPOUND INTEREST.

Using the formula,

$\sf \Longrightarrow CI = A - P$

Substitute the values,

$\sf \Longrightarrow CI = 29702.5 - 25000$

Subtract 29702.5 to 25000,

$\sf \Longrightarrow CI = Rs. \: 4702.5$

$\Large\text{\underline{Final Answer:-}}$

∴ Hence, the compound interest is Rs. 4702.5

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Answer 2

Correct Question :

• Find the Simple Interest on Rs 25000 for 2 years at 9% p.a

Given :

• Principal (P) = Rs 25000
• Rate (R) = 9% p.a
• Time (T) = 2 years

To Find :

• Simple Interest

Solution :

✰ In this question, Principal and Rate along with the Time is given and we have to find the Simple Interest, and we know that Simple Interest is given by SI = P × R × T/100 . So simply we will put the given values in the formula to find the Simple Interest .

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⟹ Simple Interest = P × R × T / 100

⟹ Simple Interest = 25000 × 9 × 2/100

⟹ Simple Interest = 250 × 9 × 2

⟹ Simple Interest = 250 × 18

⟹ Simple Interest = Rs 4500

⠀

So, Simple Interest is Rs 4500

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★ Additional Info :

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