Question

44) If a number is divided into three parts which are in
the ratio 1:1:2, then what percentage of the total
value is the sum of the equal parts?
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Answer 1

Let the ratio be x:x:2x

then total =x+x+2x=4x

Sum of equal parts=x+x=2x

Percentage =(2x/4x)×100=50%

Hence.. 50% is the answer.

Answer 2

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

• ✦ 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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