Question

Find the ratio of the price of coffee to that of tea, when coffee costs $₹75$ per $250$g and tea costs $₹175$ per kg.

Answer 1

Since, the costs of coffee for $250g$= $₹75$

So, the costs of coffee for $1g$ = $\frac{75}{250}$ = $\frac{3}{10}$

So, the costs of coffee for $1000g$=$\frac{3\times 1000}{10}$=$₹300$

i.e. costs of $1kg$ = $₹300$ [$1kg=1000g$]

and the Costs of tea for $1kg$ = $₹175$

Hence, the ratio of the price of coffee to that of tea is

$300:175=\frac{300}{175}$

Dividing its numerator and denominator by its HCF $25$

$$\begin{gathered} \frac{300÷25}{175÷25}=\frac{12}{7} \\ or,12:7 \end{gathered}$$

Therefore the ratio of the price of coffee to that of tea is $12:7$.