Question

indu gave R.S .1250 on compound interest for 2 year at 4 percent per annum .How much less would Indu has suffered had she given it to bindu for 2 years at 4 percent per annum simple interest
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Answer 1

Answer:

$ci = p(1 + \frac{r}{100})^{n} - 1) \\ \\ = 1250(1 + \frac{4}{100} )^{2} - 1) \\ \\ = 1250(1 + \frac{4}{100} \times \frac{4}{100} ) - 1) \\ \\ = 1250(1 + \frac{1}{25 } \times \frac{1}{25} ) - 1) \\ \\ = 1250(1 + \frac{1}{625} - 1) \\ \\ = 1250( \frac{625 + 625 - 625)}{625} \\ \\ = 1250( \frac{1250 - 625}{625}) \\ \\ = 1250 \times \frac{625}{625} \\ \\ = 1250 \times 1 = 1250 \: rupees \\ \\ \\ si = \frac{p \times r \times t}{100} \\ \\ = \frac{1250 \times 4 \times 2}{100} \\ \\ = \frac{1250 \times 4}{50} \\ \\ = \frac{5000}{50} = \frac{500}{5} \\ \\ = 100 \\ \\ ci - si \\ \\ = 1250 - 100 \\ \\ = 1150 \: answer$

she will suffer loss of ₹ 1150

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