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Question

A man borrowed Rs.$$8000$$ at $$10\%$$ per annum simple interest and immediately lent the whole sum at $$10\%$$ per annum compound interest. What does he gain at the end of $$2$$ years?


Solution

C.I$$=$$Rs.$$8000\times {\left(1+\dfrac{10}{100}\right)}^{2}-8000$$
$$=$$Rs$$8000\times {1.01}^{2}-8000=$$Rs.$$1680$$
S.I$$=$$Rs.$$\dfrac{8000\times 10\times 2}{100}=80\times 10\times 2$$Rs.$$1600$$
Gain$$=C.I-S.I$$
$$=1680-1600=$$Rs.$$80$$


Mathematics

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