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44) If a number is divided into three parts which are inthe ratio 1:1:2, then what percentage of the totalvalue is the sum of the equal parts?richt​

Answer»

\large{\underline{\bf{\purple{Given:-}}}}

  • ✦ Ratio of three PARTS = 1:1:2

\large{\underline{\bf{\purple{To\:Find:-}}}}

  • ✦ percentage of total in the SUM of EQUAL parts .

\huge{\underline{\bf{\red{Solution:-}}}}

LET the 1st parts be 1 = x

second part be 1 = x

third part 2 = 2X

sum of all parts = x + x +2x

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 4x

sum of two equal parts = x +x

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 2x

Percentage % = (sum of equal parts/sum of all parts )×100

\mapsto \rm\: \frac{2x}{4x} \times 100 \\ \\ \mapsto \rm\: \: \frac{1}{2} \times 100 \\ \\ \mapsto \rm\: \cancel\frac{100}{2} \\ \\ \large\mapsto \bf\: \blue{ \:50 \%}\\\\

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