Question

Surendra deposited rs8000 in a bank at a rate of 9 p.c.p.a., while Narendra deposited rs9000 in a bank at a rate of 8 p.c.p.a. How much interest both will get at the end of the year?​

Answer 1

➤ Correct Question :-

Surendra deposited ₹8000 in a bank at a rate of 9%, while Narendra deposited ₹9000 in a bank at a rate of 8%. How much interest both will get at the end of a year?

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➤ Given :-

Principle (Surendra) :- ₹8000

Rate of interest (Surendra) :- 9%

Time (Surendra) :- 1 year

Principle (Narendra) :- ₹9000

Rate of interest (Narendra) :- 8%

Time (Narendra) :- 1 year

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➤ To Find :-

Simple Interest received by both persons...

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➤ Formula required :-

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

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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 to them of two people. We are asked to find the simple interest or also known as interest obtained to them at end of the time period. To find the simple interest, a specific formula should be applied so that we can find it easily is given above with which we can find our simple interest. So, let's solve!!

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➤ Solution :-

Always substitute the values of the formula by given values one by one.

Simple Interest of Surendra :-

${\tt \leadsto \dfrac{8000 \times 9 \times 1}{100}}$

${\tt \leadsto \dfrac{\cancel{8000} \times 9 \times 1}{\cancel{100}} = \dfrac{80 \times 9 \times 1}{1}}$

${\tt \leadsto \dfrac{80 \times 9}{1} = \dfrac{720}{1}}$

${\tt \leadsto \cancel \dfrac{720}{1} = \boxed{\tt Rs \: \: 720}}$

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Now, we can find out the simple interest of Narendra by the same methods of the simple interest given to Surendra.

Simple Interest of Narendra :-

${\tt \leadsto \dfrac{9000 \times 8 \times 1}{100}}$

${\tt \leadsto \dfrac{\cancel{9000} \times 8 \times 1}{\cancel{100}} = \dfrac{90 \times 8 \times 1}{1}}$

${\tt \leadsto \dfrac{90 \times 8}{1} = \dfrac{720}{1}}$

${\tt \leadsto \cancel \dfrac{720}{1} = \boxed{\tt Rs \: \: 720}}$

$\Huge\therefore$ The simple interest of Surendra and Narendra is ₹720.

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$\dashrightarrow$ Some related formulas :-

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

Answer 2

Correct Question :

• Surendra deposited ₹8000 in a bank at a rate of 9%, while Narendra deposited ₹9000 in a bank at a rate of 8%. How much interest both will get at the end of a year?

Given :

✰ In case of Surendra :

• Principal (P) = Rs 8000
• Rate (R) = 9%
• Time (T) = 1 year

✰ In case of Narendra :

• Principal (P) = Rs 9000
• Rate (R) = 8%
• Time (T) = 1 year

To Find :

• How much interest both will get at the end of a year?

Solution :

❏ Interest in Case of Surendra :

• Interest = P × R × T / 100
• Interest = 8000 × 9 × 1 / 100
• Interest = 80 × 9
• Interest = Rs 720

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❏ Interest in Case of Narendra :

• Interest = P × R × T / 100
• Interest = 9000 × 8 × 1 / 100
• Interest = 90 × 8
• Interest = Rs 720

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Thus they both will get Rs 720 after 1 year

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★ Additional Info :

• Principal: The money which we deposit in or the lower from the bank or the money learned called the principal.
• Rate of interest: The interest paid on Rs, 100 for one year is called the rate per cent per year or rate per cent per annum.
• Time: The period of time for which the money is lent or invested.
• Interest: Additional money paid by the borrowed to the lender for using the money is called interest.
• Simple Interest: If the interest is calculated uniformly on the original principal throughout the lone period, it is called simple interest.
• Amount: The total money paid back to the lender is called the amount.

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