Identify whether the given statement is true or not ?
$40 p e r s o n s : 200 p e r s o n s = ₹ 15 : ₹ 75$

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Solution

Here we have to check the Equality between the two ratio
$40 p e r s o n s : 200 p e r s o n s$ and $₹ 15 : ₹ 75$
So,
$40 p e r s o n s : 200 p e r s o n s = \frac{40}{200} [D i v i d i n g n u m e r a t o r a n d d e n o m i n a t o r b y t h e i r H C F 40] \frac{40 \div 40}{200 \div 40} = \frac{1}{5} o r 1 : 5$
Now,
$₹ 15 : ₹ 75 = \frac{15}{75} [D i v i d i n g n u m e r a t o r a n d d e n o m i n a t o r b y t h e i r H C F 15] \frac{15 \div 15}{75 \div 15} = \frac{1}{5} o r 1 : 5$
Clearly, here we see that both ratios are equal. i.e- $40 p e r s o n s : 200 p e r s o n s = ₹ 15 : ₹ 75$
Hence it is $t r u e$ .

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