Question

question → In what time will ₹9600 amount to ₹4320 at 8% per annum simple interest?​

Answer 1

Step-by-step explanation:

The amount is given as Rs4320 and the principle is given as Rs3600 with the rate of 4%. Then, the simple interest will be,

S.I.=Amount−Principle

=4320−3600

=720

Now,

S.I.=

100

P×R×T

720=

100

3600×4×T

T=

3600×4

720×100

T=5years

Answer 2

Question :-

• In what time will Rs. 3600 amount to Rs. 4320 at 4 % per annum simple interest?

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Answer :-

• Time Period is 5 years .

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Explanation :-

• Here, Principal is given Rs. 3600 . Amount is Rs. 4320 . Rate of Interest is 4 % . And, we have to calculate the Time Period .

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➻ First, let's find Simple Interest value :-

$\dag \: \: \sf { Simple \: Interest = Amount - Principal}$

$\Longrightarrow \: \sf { Simple\: Interest = 4320 - 3600}$

$\Longrightarrow \: \sf{Simple\: Interest = Rs. \: 720}$

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➻ Now, let's find the Time Period :-

$\dag \: \: \sf{Simple \: Interest = \frac{P \times R \times T}{100} }$

$\Longrightarrow \: \sf{720 = \frac{3600 \times 4 \times Time}{100} }$

$\Longrightarrow \: \sf{ Time = \frac{3600 \times 4}{720 \times 100} }$

$\Longrightarrow \: \sf{Time = \frac{14,400}{72,000} }$

$\Longrightarrow \: \sf{Time = 5 \: years}$

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Hence :-

• Time Period = 5 years .

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$\begin{gathered}\begin{gathered}\boxed{\begin{array}{c} \\ \underline{ { \pmb {\sf \red{ \dag \: \: More \: Formulas \: \: \dag}}}} \\ \\ \\ \footnotesize \bigstar \: \sf{Simple \: Interest = \large \frac{Principal \: \times \: Rate \: \times \: Time}{100} } \\ \\ \\ \footnotesize \bigstar \: \sf{Principal = \large\frac{100 \: \times \: Simple\: Interest }{Rate \: \times \: Time} } \\ \\ \\ \footnotesize\bigstar \: \sf{Rate = \large \: \frac{100 \: \times \: Simple\: Interest}{Principal \: \times \: Time} } \\ \\ \\ \footnotesize \bigstar \: \sf{Time = \large \: \frac{100 \: \times \: Simple\: Interest}{Principal \: \times \: Rate} } \\ \\ \\ \footnotesize \bigstar \: \sf{Amount = Principal \: + Simple\:Interest}\end{array}}\end{gathered}\end{gathered}$