Comparing Quantities

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

Solution

(a) Rs 5 to 50 paise

1 rupee = 100 paise

5 rupee = 500 paise

$\frac{Rs 5}{50 Paise} = \frac{500}{50} = \frac{10}{1}$

Hence, the required ratio is 10:1.

(b) 15 kg to 210 g

1 kg = 1000 g

15 kg = 15000 g

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

Hence, the required ratio is 500:7.

1 m = 100 cm

9 m = 900 cm

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

Hence, the required ratio is 100:3.

(d) 30 days to 36 hours

1 days = 24 hrs

30 days = 24 × 30 = 720 hrs

$\Rightarrow \frac{30 d a y s}{36 h r s} = \frac{720}{36} = \frac{20}{1}$

Hence, the required ratio is 20:1.