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Question Number 27016 by sirigidiravikumar@gmail.com last updated on 01/Jan/18

the intrest on surtain sum of money at the   end of 6.25 year was (5/(16)) of the itself.what is the  the rate percent?

$${the}\:{intrest}\:{on}\:{surtain}\:{sum}\:{of}\:{money}\:{at}\:{the}\: \\ $$$${end}\:{of}\:\mathrm{6}.\mathrm{25}\:{year}\:{was}\:\frac{\mathrm{5}}{\mathrm{16}}\:{of}\:{the}\:{itself}.{what}\:{is}\:{the} \\ $$$${the}\:{rate}\:{percent}? \\ $$

Commented by Rasheed.Sindhi last updated on 07/Jan/18

Let the principal is     x  Interest = ((5x)/(16))  Per year interest=((5x)/(16))/((25)/6)=((5x)/(24))   ((,(PerYear),,,),((interest),,,,(principal)),((        ((5x)/(24))   ),,,,(        x)),((        ?),,,,(      100)) )          (?/(5x/24))=((100)/x)               ?=((100)/x)×((5x)/(24))=((125)/6)%

$$\mathrm{Let}\:\mathrm{the}\:\mathrm{principal}\:\mathrm{is}\:\:\:\:\:\mathrm{x} \\ $$$$\mathrm{Interest}\:=\:\frac{\mathrm{5x}}{\mathrm{16}} \\ $$$$\mathrm{Per}\:\mathrm{year}\:\mathrm{interest}=\frac{\mathrm{5x}}{\mathrm{16}}/\frac{\mathrm{25}}{\mathrm{6}}=\frac{\mathrm{5x}}{\mathrm{24}} \\ $$$$\begin{pmatrix}{}&{\mathrm{PerYear}}&{}&{}&{}\\{\mathrm{interest}}&{}&{}&{}&{\mathrm{principal}}\\{\:\:\:\:\:\:\:\:\frac{\mathrm{5x}}{\mathrm{24}}\:\:\:}&{}&{}&{}&{\:\:\:\:\:\:\:\:\mathrm{x}}\\{\:\:\:\:\:\:\:\:?}&{}&{}&{}&{\:\:\:\:\:\:\mathrm{100}}\end{pmatrix} \\ $$$$\:\:\:\:\:\:\:\:\frac{?}{\mathrm{5x}/\mathrm{24}}=\frac{\mathrm{100}}{\mathrm{x}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:?=\frac{\mathrm{100}}{\mathrm{x}}×\frac{\mathrm{5x}}{\mathrm{24}}=\frac{\mathrm{125}}{\mathrm{6}}\% \\ $$$$ \\ $$

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