Question

Find the ratio of the following:

$\left(a\right)$ 55 paise to ₹1
$\left(b\right)$ 500 ml to 2 litres

[3 marks]

Answer 1

Ratios are used to compare quantities which have same units.
To find the ratio of the given numbers we have to convert them into same units.
[1 mark]

$\left(a\right)$ ₹1 = 100 paise

Now, ratio of 55 paise to ₹1 = 55 paise : 100 paise

= $\frac{55}{100}=\frac{11}{20}=11:20$ [Dividing numerator and denominator by HCF of 55 and 100 i.e. 5]
[1 mark]

$\left(b\right)$ 2 litres = 2 $\times$ 1000 ml = 2000 ml
[$\because$ 1 litre = 1000 ml]

Now, ratio of 500 ml to 2 litres = 500 ml : 2 litres

= 500 ml : 2000 ml = $\frac{500}{2000}$

= $\frac{1}{4}=1:4$ [Dividing numerator and denominator by HCF of 500 and 2000 i.e. 500]
[1 mark]