Surendra deposited rs8000 in a bank at a rate of 9 p.c.p.a., while Nar

1.	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» ➤ 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 :- Principle (Surendra) :- ₹8000 Rate of interest (Surendra) :- 9% Time (Surendra) :- 1 year Principle (Narendra) :- ₹9000 Rate of interest (Narendra) :- 8% Time (Narendra) :- 1 year $\:$ ➤ To Find :- Simple Interest received by both persons... $\:$ ➤ Formula required :- ${\large \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{P \times R \times T}{100}}}}}$ $\:$ ★ 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!! $\:$ ➤ Solution :- Always substitute the values of the formula by given values one by one. Simple Interest of Surendra :- ${\tt \leadsto \dfrac{8000 \times 9 \times 1}{100}}$ ${\tt \leadsto \dfrac{\cancel{8000} \times 9 \times 1}{\cancel{100}} = \dfrac{80 \times 9 \times 1}{1}}$ ${\tt \leadsto \dfrac{80 \times 9}{1} = \dfrac{720}{1}}$ ${\tt \leadsto \cancel \dfrac{720}{1} = \boxed{\tt Rs \: \: 720}}$ $\:$ 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. ━━━━━━━━━━━━━━━━━━━━━━ $\dashrightarrow$ Some related formulas :- $\small\boxed{\begin{array}{cc}\large\sf\dag \: {\underline{More \: Formulae}} \\ \\ \bigstar \: \sf{Principle :- \dfrac{SI \times 100}{R \times T}} \\ \\\bigstar \: \sf{Rate \: of \: Interest :- \dfrac{SI \times 100}{P \times T}} \\ \\ \bigstar \: \sf{Time :- \dfrac{SI \times 100}{P \times R}}\end{array}}$

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»

➤ 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 :-

Principle (Surendra) :- ₹8000

Rate of interest (Surendra) :- 9%

Time (Surendra) :- 1 year

Principle (Narendra) :- ₹9000

Rate of interest (Narendra) :- 8%

Time (Narendra) :- 1 year

$\:$

➤ To Find :-

Simple Interest received by both persons...

$\:$

➤ Formula required :-

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

$\:$

★ 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!!

$\:$

➤ Solution :-

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

Simple Interest of Surendra :-

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

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

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

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

$\:$

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.

━━━━━━━━━━━━━━━━━━━━━━

$\dashrightarrow$ Some related formulas :-

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