Find the following ratio in the simplest form.
Raja saved $₹ 25$ and Rani saved $₹ 75$
The ratio of Raja's savings to Rani's saving

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Solution

Step-1: Given Information
Raja saved $₹ 25$
Rani saved $₹ 75$
Step-2: Find $R a j a' s s a v i n g s : R a n i s a v i n g s$
$R a j a' s s a v i n g s : R a n i s a v i n g s$ $=$ $25 : 75$
Step-3: Simplify the ratio $25 : 75$
$25 : 75$ $=$ $\frac{25 \div 25}{75 \div 25}$ ( To simplify $25 : 75$ divide it by HCF of $25$ and $75$ The HCF of $25$ and $75$ is $25$ )
$25 : 75$ $=$ $\frac{1}{3}$ $=$ $1 : 3$
Hence, the ratio $R a j a' s s a v i n g s : R a n i s a v i n g s$ is $1 : 3$

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