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Find the percentage of pure gold in $10$-carat gold, if 24-carat gold is $100\%$ pure gold.

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Answer:

$41\dfrac { 2 } { 3 }\%$

Step by Step Explanation:

1. In $10$-carat gold, pure gold is $10$ parts out of $24$ parts. $$\begin{aligned} \therefore \space \text{Percentage of pure gold in it } = \bigg( \dfrac { 10 } { 24 } \times 100 \bigg)\% = \dfrac { 125 } { 3 } \% = 41\dfrac { 2 } { 3 }\% \end{aligned}$$ Hence, $10$-carat gold is $41\dfrac { 2 } { 3 }\%$ pure.

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