In a ring, the ratio of gold and silver is 6 : 4. What is the percentage of…
2015
In a ring, the ratio of gold and silver is 6 : 4. What is the percentage of gold in the ring?
Answer: D. 60% — Concept: When a quantity is split into parts according to a ratio, the percentage share of any part equals (that part's value ÷ sum of all ratio parts) × 100.…
- A.
20%
- B.
30%
- C.
50%
- D.
60%
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Show answer & explanation
Correct answer: D
Concept: When a quantity is split into parts according to a ratio, the percentage share of any part equals (that part's value ÷ sum of all ratio parts) × 100.
Application:
The ratio of gold to silver in the ring is 6 : 4.
The sum of the ratio parts is 6 + 4 = 10.
Gold's share of the ring is 6 parts out of the 10 total parts.
Percentage of gold = (6 ÷ 10) × 100 = 60%.
Cross-check: Silver's percentage = (4 ÷ 10) × 100 = 40%. Since 60% + 40% = 100%, the two shares account for the whole ring, confirming the calculation. Equivalently, 6 : 4 simplifies to 3 : 2, and 3/(3+2) = 3/5 = 60%, the same result by an independent route.