question_answer

Find the ratio of the following:

(a) 30 minutes to \[1.5\]hours

(b) 40 cm to \[1.5\,m\]

(c) 55 paise to Rs. 1

(d) 500 ml to 2 litres

Answer:

(a) 30 minutes to 1.5 hours

= 30 min.: 90 min.

{\[\because\]1 hour = 60 minutes,

1.5 hours \[=1.5\times 60=90\text{ }min.\]}

\[=30:90\]

\[=1:3\]

(b) 40 cm to 1.5m

\[=40\text{ }cm.:1.5\times 100\text{ }cm.\]

{\[\because\]\[1\text{ }m=100\text{ }cm.,1.5\text{ }m=1.5\times 100\text{ }cm\]}

\[=40\text{ }cm.:150\text{ }cm.\]

\[=40:150=\frac{40}{150}=\frac{4}{15}\]

\[=4:15\]

(c) 55 paise to Rs. 1

= 55 paise : 100 paise

{Rs. 1 = 100 paises}

\[=55:100=\frac{55}{100}=\frac{11}{20}\]

\[=11:20\]

(d) 500 ml to 2 litre

= 500 ml.: 2000 ml.

{\[\because\]1 litre =1000 ml.,

\[=500:2000=\frac{500}{2000}=\frac{1}{4}\]

\[\therefore\]  {2 litre = 2000 ml.}

\[=1:4\]