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Quantitative Aptitude
Ratio and Proportion
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NTPC Graduate Tier 1 2025 Shift-3 📅 05 Jun, 2025

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
Result Summary
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NTPC Graduate Tier 1
2025 • 05 Jun, 2025 • Shift-3
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?
Correct Answer
16:7
[Parameter Alignment Strategy]: We are provided with two distinct ratios that share a common entity: Red tokens. Red:Green = 7:20, and Pink:Red = 15:12. To unif......
Ref/Book : NTPC Graduate Tier 1 2025
Ref. Subject Quantitative Aptitude
Chapter -
Ref. Topic Ratio and Proportion
Pg. No -
💡 Analysis & Explanation
[Parameter Alignment Strategy] ▼
We are provided with two distinct ratios that share a common entity: Red tokens. Red:Green = 7:20, and Pink:Red = 15:12. To unify them, we must equate the numerical value representing the Red tokens in both ratios.
[Simplification Phase] ▼
First, let's simplify the Pink:Red ratio. 15:12 can be divided by 3, yielding a cleaner 5:4 ratio.
[LCM Balancing Matrix] ▼
Now we have R:G = 7:20 and P:R = 5:4. The number representing Red is 7 in the first and 4 in the second. The Least Common Multiple of 7 and 4 is 28.
[Ratio Expansion] ▼
Multiply the first ratio by 4: R:G becomes 28:80. Multiply the second ratio by 7: P:R becomes 35:28.
[Unified Linkage] ▼
The combined master ratio for Pink : Red : Green is now seamlessly 35 : 28 : 80.
[Final Extraction] ▼
The specific question asks for the direct ratio of Green to Pink tokens, which translates to 80 : 35. Dividing both sides by the common factor 5 simplifies this securely to 16:7.
Conclusion ▼
The definitively calculated ratio is 16:7.
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