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?

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Question

This question was previously asked in

RRB NTPC Graduate Level CBT-I Official Paper (Held On: 05 Jun, 2025 Shift 3)

Answer 1

Given:

Ratio of red to green tokens = 7:20

Ratio of pink to red tokens = 15:12

Formula Used:

To find the ratio of green to pink tokens, we align the ratios using the common term "red".

Calculation:

Ratio of red to green tokens = 7:20

Ratio of pink to red tokens = 15:12

First, express the ratios in terms of a common "red" count:

Let red tokens = 84 (LCM of 7 and 12)

Green tokens = (20 × 84) / 7 = 240

Pink tokens = (15 × 84) / 12 = 105

Now, find the ratio of green to pink tokens:

Green : Pink = 240 : 105

Simplify the ratio:

⇒ Green : Pink = (240 / 15) : (105 / 15)

⇒ Green : Pink = 16 : 7

The ratio of green to pink tokens is 16:7.

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