Question

There are some coins and rings of either gold or silver in a box. $60\%$ of the objects are coins, $40\%$ of the rings are gold and $30\%$ of the coins are of silver. What is the percentage of gold articles?

• A. $16$
• B. $27$
• C. $58$
• D. $70$

Answer 1

Answer: (C)

$58$

$\Rightarrow$ If $60\%$ of the objects are coins, then $40\%$ of the objects are rings.

$\Rightarrow$ If $30\%$ of the coins are silver, assume the other $70\%$ are gold.

$\Rightarrow$ $70\%$ of the $60\%$ coins $=42\%$ of the total is gold from the coins.

$\Rightarrow$ $40\%$ of the $40\%$ rings $=16\%$ of the total is gold from rings

$\Rightarrow$ $42\%+16\%=58\%$ of the total gold.