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 $36\ hours$

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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 $=\frac{720}{36}$

$=\frac{20}{1}$

$=20:1$
Updated on 10-Oct-2022 13:35:12