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In a bag containing red, green, and pink tokens, the ratio of red to green tokens was 7 : 20, while the ratio of pink to red tokens was 15 : 12.
Question

In a bag containing red, green, and pink tokens, the ratio of red to green tokens was 7 : 20, while the ratio of pink to red tokens was 15 : 12. What was the ratio of green to pink tokens?​

A.

19 : 12

B.

11 : 5

C.

16 : 7

D.

25 : 7

Correct option is C

Given:

Red : Green = 7:20

Pink : Red = 15:12

Solution:
From Red : Green = 7:20

G : R = 20 : 7.
From Pink : Red = 15:12

R : P = 12 : 15.
GP=GR×RP=207×1215=240105=167.\frac{G}{P}=\frac{G}{R}\times\frac{R}{P}=\frac{20}{7}\times\frac{12}{15}=\frac{240}{105}=\frac{16}{7}.​​
Therefore, Green : Pink = 16 : 7.

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