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Find the ratio of:
$(a).\ Rs.\ 5$ to $50\ paise$
$(b).\ 15\ kg$ to $210\ g$
$(c).\ 9\ m$ to $27\ cm$
$(d).\ 30$ days to $36\ hours$
To do: To find the ratio of:
$(a).\ Rs.\ 5$ to $50\ paise$
$(b).\ 15\ kg$ to $210\ g$
$(c).\ 9\ m$ to $27\ cm$
$(d).\ 30$ days to $36\ hours$
Solution:
To find ratios, both quantities should be in the same unit.
$(a).\ Rs. 5$ to $50\ paise$
$5\times 100\ paise$ to $50\ paise$ [$\because Rs.\ 1=100\ paise$]
$500\ paise$ to $50\ paise$
Thus, the ratio is $=\frac{500}{50}=\frac{10}{1}=10:1$
$=10:1$
$(b).\ 15\ kg$ to $210\ g$
$15\times 1000\ g$ to $210\ g$ [$\because1\ kg=1000\ g$]
$15000\ g$ to $210\ g$
Thus, the ratio is $=\frac{15000}{210}$
$=\frac{500}{7}$
$=500:7$
$(c).\ 9\ m$ to $27\ cm$
$9\times 100\ cm$ to $27\ cm$ [$\because1\ m\ =100\ cm$]
$900\ cm$ to $27\ cm$
Thus, the ratio is $=\frac{900}{27}$
$=\frac{100}{3}$
$=100:3$
$(d).\ 30\ days$ to $36\ hours$
$30\times 24 hours$ to $36 hours$ [$\because1\ day=24\ hours$]
$720\ hours$ to $36\ hours$
Thus, the ratio is $=\frac{720}{36}$
$=\frac{20}{1}$
$=20:1$
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