Math, asked by Anonymous, 10 months ago

HEYA\: GUYS}

Question = The difference between the compound interest and simple interest is Rs 15 find the principal whrn rate is 5% per annum for 2 years.

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Answers

Answered by parthpatil118
3

Answer:

6000 rs

Step-by-step explanation:

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Answered by Anonymous
4

\boxed{ Answer = Rs\:6000}

Explanation = Let principal be Rs 100,

Rate = 5% , Time = 2 years.

Simple Intrest =

 \frac{Principal \times Rate \times Time}{100}  =  \frac{100 \times 5 \times 2}{100}  = Rs \: 10/-\:  \\ \\  compound \: intrest \:  = 100 [\frac{105}{100}  \times  \frac{105}{100}  - 1]  \\ \\ = 100 \times [ \frac{11025}{10000} - 1] = Rs \: 10.25 \\\\ Difference \: in \: both \: intrest \:  = Rs \: 10.25 - 10  \\ = Rs \:  \frac{25}{10}  \: but \: the \: \: given \:  difference = Rs \: 25 \ \ \\ if \: the \: difference \: is \: Rs \:  \frac{25}{100} then \: principal \: is \:  = Rs \: 100 \\and \: if \: the \: difference \: is \: Rs \: 15 \: then \: principal \: is =  \:Rs  = 100 \times  \frac{100}{25} \times15 = Rs \: 6000

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Simple intrest =  \frac{Principal \times \: Rate  \times Time}{100}

Compound Intrest =Principal[(1+ \frac{rate}{100})^{Time} - 1] \\\\or \: Amount \:  -Principal

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