Question

In every gram of gold, a goldsmith mixes 0.25 grams of silver and 0.05 grams of copper.
What is the percentage of gold, silver and copper in every gram of gold?
tell me fast​

Answer 1

⇒ Given:

In every gram of gold, a goldsmith mixes 0.25 grams of silver and 0.05 grams of copper.

⇒ To Find:

The percentage of gold, silver and copper in every gram of gold.

⇒ Solution:

Let the amount of gold in the complete mixture be g.

Total weight of the mixture = 1 g

Amount of silver = 0.25 g

Amount of copper = 0.05 g

Amount of gold = 1 - (0.3)

Amount of gold in the mixture = 0.7 g

Now, writing down the complete values we know:

Total weight of the mixture = 1 g

Amount of silver in the mixture [s] = 0.25 g

Amount of copper in the mixture [c] = 0.05 g

Amount of gold in the mixture [g] = 0.7 g

Now,

Percentage of gold in 1 g:

$\sf{\dfrac{Weight\:of\:gold}{Total\:weight}\times100}$

$\sf{=0.7\times100}$

$\sf{=70\%}$

Percentage of silver in 1 g:

$\sf{\dfrac{Weight\:of\:silver}{Total\:weight}\times100}$

$\sf{=0.25\times100}$

$\sf{=25\%}$

Percentage of copper in 1 g:

$\sf{\dfrac{Weight\:of\:copper}{Total\:weight}\times100}$

$\sf{=0.05\times100}$

$\sf{=5\%}$

∴ The percentages of the elements are 70%, 25% and 5% respectively.