Question

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

Answer 1

Ratio of two quantities can only be found when both the quantities have same measurements/units.

(a) $Rs.5$ to $50$ paise

$1$ rupee = $100$ paise

$\Rightarrow 5$ rupee = $5\times 100=500$ paise

$\Rightarrow \frac{\text{Rs.5}}{\text{50 paise}}=\frac{500}{50}=\frac{10}{1}$

Hence, the required ratio is $10:1$.

(b) $15$ kg to $210$ g

$1$ kg = $1000$ g

$\Rightarrow 15$ kg = $15\times 1000=15000$ g

$\Rightarrow \frac{\text{15 kg}}{\text{210 g}}=\frac{15000}{210}=\frac{500}{7}$

Hence, the required ratio is $500:7$.

(c) $9$ m to $27$ cm

$1$ m = $100$ cm

$\Rightarrow 9$ m = $900$ cm

$\Rightarrow \frac{\text{9 m}}{\text{27 cm}}=\frac{900}{27}=\frac{100}{3}$

Hence, the required ratio is $100:3$.

(d) $30$ days to $36$ hours

$1$ days = $24$ hrs

$\Rightarrow 30$ days = $24\times 30=720$ hrs

$\Rightarrow \frac{\text{30 days}}{\text{36 hours}}=\frac{720}{36}=\frac{20}{1}$

Hence, the required ratio is $20:1$.