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Question Number 55587 by byaw last updated on 27/Feb/19
If 12% of a number is equal to s,  what is the e% of s?  A. ((es)/(12))  B. ((es)/(88))  C. ((12s)/e)  D. ((12e)/s)
$$\mathrm{If}\:\mathrm{12\%}\:\mathrm{of}\:\mathrm{a}\:\mathrm{number}\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to}\:{s}, \\ $$$$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:{e\%}\:\mathrm{of}\:{s}? \\ $$$$\mathrm{A}.\:\frac{{es}}{\mathrm{12}} \\ $$$$\mathrm{B}.\:\frac{{es}}{\mathrm{88}} \\ $$$$\mathrm{C}.\:\frac{\mathrm{12}{s}}{{e}} \\ $$$$\mathrm{D}.\:\frac{\mathrm{12}{e}}{{s}} \\ $$
Answered by peter frank last updated on 27/Feb/19
12%→s  e%→x  x=((es)/(12))
$$\mathrm{12\%}\rightarrow{s} \\ $$$${e\%}\rightarrow{x} \\ $$$${x}=\frac{{es}}{\mathrm{12}} \\ $$
Answered by tanmay.chaudhury50@gmail.com last updated on 27/Feb/19
x×((12)/(100))=s  x=((100s)/(12))  e%of s  =(e/(100))×s  but e% of x  =(e/(100))×((100s)/(12))  =((es)/(12))  re check question...
$${x}×\frac{\mathrm{12}}{\mathrm{100}}={s} \\ $$$${x}=\frac{\mathrm{100}{s}}{\mathrm{12}} \\ $$$${e\%of}\:{s} \\ $$$$=\frac{{e}}{\mathrm{100}}×{s} \\ $$$${but}\:{e\%}\:{of}\:{x} \\ $$$$=\frac{{e}}{\mathrm{100}}×\frac{\mathrm{100}{s}}{\mathrm{12}} \\ $$$$=\frac{{es}}{\mathrm{12}} \\ $$$${re}\:{check}\:{question}… \\ $$

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