Which of the following are the percentages of each part of the ratio 1:2:5?

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10%, 20%, and 50%

12.5%, 20%, and 50%

12.5%, 25%, and 62.5%

10.5%, 20.5%, and 50.5%

answer is C.

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Detailed Solution

The given ratio is 1:2:5.
Total parts are,

r + s + t = 1 + 2 + 5 = 8 .

The percentage of the first part is,

P e r c e n t a g e = r r + s + t × 100 %

⇒ P e r c e n t a g e = 18 × 100 % = 12.5 %

The percentage of the second part is,

P e r c e n t a g e = s r + s + t × 100 %

⇒ P e r c e n t a g e = 28 × 100 % ⇒ P e r c e n t a g e = 14 × 100 % = 25 %

The percentage of the third part is,

P e r c e n t a g e = t r + s + t × 100 %

⇒ P e r c e n t a g e = 58 × 100 % ⇒ P e r c e n t a g e = 5 × 12.5 % = 62.5 %

Thus, the percentage of first part is 12.5%, percentage of second part is 25% and percentage of third part is 62.5%.
Hence, option (3) is correct.

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