Question

If you have Rs.4200 in your account and the interest rate is 5% after how many years would you earn Rs.240 as interest? (I will mark you as brainliest)

Answer 1

➤ Given :-

Principle :- ₹4200

Rate of interest :- 5%

Simple Interest :- ₹240

➤ To Find :-

Time given for the given sum

➤ Formula required :-

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

➤ Solution :-

Time :-

${\tt \longrightarrow \dfrac{240 \times 100}{4200 \times 5}}$

$\:$

${\tt \longrightarrow \dfrac{240 \times \cancel{100}}{\cancel{4200} \times 5} = \dfrac{240 \times 1}{42 \times 5}}$

$\:$

${\tt \longrightarrow \dfrac{\cancel{240} \times 1}{42 \times \cancel{5}} = \dfrac{48 \times 1}{42 \times 1}}$

$\:$

${\tt \longrightarrow \cancel \dfrac{48}{42} = \boxed{\tt 1 \frac{1}{7} \: \: years}}$

$\:$

$\Huge\therefore$ The interest will be earned after ${\tt 1 \dfrac{1}{7}}$ years.

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

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$\dashrightarrow$ Note :-

• If you are solving a problem of simple interest, if you should find the principle, rate or time and they had given the total amount instead of simple interest, you can find tye simple interest by subtracting the total amount and the principle.

Answer 2

Answer:

Time = $1\frac{1}{7}$years

Step-by-step explanation:

Given -

Simple Interest = ₹240

Rate of interest= 5 %

Principal = ₹4200

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Solution-

Let's take the value of time as 'x'

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Simple Interest=$\frac{time×rate×principal}{100}$

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$\frac{4200 \times 5 \times x}{100} = 240 \\ \\ x = \frac{240 \times 100}{4200 \times 5} \\ \\ x = \frac{240}{210} \\ \\ x = \frac{24}{21} \\ \\ x = \frac{8}{7} \\ \\ x = 1 \frac{1}{7}$

So, time = $1\frac{1}{7}$years.