Find the ratio of:
(a) ₹ 5 to 50 paise
(b) 15 kg to 210 g
(c) 9 m to 27 cm
(d) 30 days to 36 hours
Answers
Step-by-step explanation:
To find ratios, both quantities should be in the same unit.
(a) Rs. 5 to 50 paise
5 x 100 paise to 50 paise
\left[\because Rs.1=100paise\right][∵Rs.1=100paise]
500 paise to 50 paise
Thus, the ratio is = \frac{500}{50}=\frac{10}{1}=10:1
50
500
=
1
10
=10:1
(b) 15 kg to 210 g
15 x 1000 g to 210 g \left[\because1\ kg=1000g\right][∵1 kg=1000g]
15000 g to 210 g
Thus, the ratio is = \frac{15000}{210}=\frac{500}{7}=500:7
210
15000
=
7
500
=500:7
(c) 9 m to 27 cm
9 x 100 cm to 27 cm \left[\because1\ m\ =100\ cm\right][∵1 m =100 cm]
900 cm to 27 cm
Thus, the ratio is = \frac{900}{27}=\frac{100}{3}=100:3
27
900
=
3
100
=100:3
(d) 30 days to 36 hours
30 x 24 hours to 36 hours \left[\because1\ day\ =\ 24\ hours\right][∵1 day = 24 hours]
720 hours to 36 hours
Thus, the ratio is = \frac{720}{36}=\frac{20}{1}=20:1
36
720
=
1
20
=20:1
Answer:
a) we find the ratio of Rs. 5 to 50 paise by dividing them. Hence, the required ratio is 10:1.
b) ∴Ratio of 15 kg to 210 g = 15kg/210 g = 15000g/210g = 500:7
c) let us change units of 9 from meters to centimeters. We know that 1 meter is equal to 100 centimeters. Therefore, 9 meter will be equal to 9×100=900 centimeter. Hence, we need to find the ratio of 900cm to 27cm or we can say 900 to 27.
d) first we convert days into hours and then calculate their ratio. To convert days into hours, multiply the number of days to 24 (Since, 1 day has 24 hours). Hence, 30 days =30×24=720 hours. which shows that the ratio of 30 days to 36 hours is 20 hours to 1 hour.