यदि 47.2506 = 4A + 7/B + 2C+5/D+ 6E है, तो 5A+3B+6C+D+3E का मान कितना है?

(If 47.2506 = 4A + 7/B + 2C+5/D+ 6E, then what is the value of 5A+3B+6C+D+3E?)

(A)153.6003

(B)213.0003

(C)53.603

(D)53.6003

Solution(हल):

दिया है:

 47.2506 = 4A + \frac{7}{B} + 2C+\frac{5}{D}+ 6E 

ज्ञात करना है: 5A+3B+6C+D+3E

47.2506\ को\ स्थानीय\ मान\ के\ अनुसार\ प्रसार\ करने\ पर
\\ \Rightarrow 4×10 +7×1 + \frac{2}{10} + \frac{5}{100} + \frac{6}{10000}
अब\ 4A + \frac{7}{B} + 2C+\frac{5}{D}+ 6E \ तथा 
\\~\\ 4×10 + \frac{7}{1} + 2×\frac{1}{10} + \frac{5}{100} + 6×\frac{1}{10000}
\\~\\ की\ आपस\ में\ तुलना\ करने\ पर
{\bf A=10 ,\ B=1, \ C=\frac{1}{10},\ D=100,}
\\~\\ \bf E=\frac{1}{10000}
\Rightarrow 5A+3B+6C+D+3E 
\\या
\\ 5×10+3×1+6×\frac{1}{10}+100+3×\frac{1}{10000}
\Rightarrow 50+3+\frac{6}{10}+100+\frac{3}{10000}
\Rightarrow \frac {500000+30000+6000+1000000+3}{10000}
\Rightarrow \frac {1536003
}{10000}=\bf\color{red}153.6003

Answer(उत्तर): (A)153.6003


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