find the ratio of
1. 50kg: 1 quintal
2. 25 paise : RS. 2
3. 200m : 4km
4. 6months : 1 1/4
5.5 hours ; 2 days
6. 1 1/3 : 2 1/4 ; 2 1/2
7.30days : 5 weeks
8.500 g :2.5 kg
9.400cm : 8m
Answers
To Find:-
The ratio of tne followings:-
Solution:-
1. 50kg : 1 quintal
→ Here the units are not same. So for finding the ratio we need to bring these into same units.
We know 1 quintal = 100 kg
So the ratio = 50 kg : 100 kg
Now,
50 kg : 100 kg
= 50kg/100kg
Reducing these to lower term,
= 50/100
= 1/2
= 1 : 2
Hence the final ratio is 1 : 2
________________________________
2. 25 paise : Rs. 2
→ Here the units are not same. So we need to bring these into same units.
We know,
Rs.1 = 100 paise
Hence
Rs.2 = 2 × 100 paise = 200 paise
Now,
Ratio is as follows:-
25 paise : 200 paise
= 25 paise/200 paise
Reducing into lower term,
= 1/8
= 1 : 8
Hence the final ratio is 1 : 8
________________________________
3. 200m : 4 km
→ Here the units are not same. So we need to bring these into same units.
We know,
1 km = 1000 m
Hence,
4 km = 4 × 1000 = 4000 m
Now,
The ratio is as follows:-
200 m : 4000 m
= 200 m/4000 m
Reducing into lower terms,
= 1/20
= 1 : 20
Hence, the final ratio is 1 : 20
________________________________
4. 6 months : 1 1/4 years
Here the units are not same. So we need to bring these into same units.
We know,
1 year = 12 months
1 1/4 years = 5/4 × 12 = 15 months
Now,
The ratio is as follows:-
6 months : 15 months
= 6 months/15 months
Reducing into lower terms,
= 2/5
= 2 : 5
Hence the final ratio is 2 : 5
________________________________
5. 5 hours : 2 days
Here the units are not same. So we need to bring these into same units.
We know,
1 day = 24 hours
Hence,
2 days = 2 × 24 hours = 48 hours
Now,
The ratio is as follows:-
5 : 24
This cannot be reduced into lower terms.
Hence the final ratio is 5 : 24.
________________________________
6. 1 1/3 : 2 1/4 : 2 1/2
→ = 4/3 : 9/4 : 5/2
Taking LCM of the denominator,
LCM of 3, 4 and 2 is 12
Now multiplying all the ratios by 12
= 4/3 × 12 : 9/4 × 12 : 5/2 × 12
= 16 : 27 : 30
Hence the final ratio is 16 : 27 : 30
________________________________
7. 30 day : 5 weeks
→ Here the units are not same. So we need to bring these into same units.
We know,
1 week = 7 days
Hence,
5 weeks = 5 × 7 = 35 days
Now,
The ratio is as follows:-
30 days : 35 days
= 30 days : 35 days
Reducing into lower terms,
= 6/7
= 6 : 7
Hence the final ratio is 6 : 7.
________________________________
8. 500 g : 2.5 kg
→ Here the units are not same. So we need to bring these into same units.
We know,
1 kg = 1000 g
Hence,
2.5 kg = 2.5 × 1000 = 2500 g
Now,
The ratio is as follows:-
500g : 2500g
= 500g/2500g
Reducing into lower term,
= 1/5
= 1 : 5
Hence the final ratio is 1 : 5.
________________________________
9. 400 cm : 8 m
→ Here the units are not same. So we need to bring these into same units.
We know,
1 m = 100 cm
Hence,
8 m = 8 × 100 = 800 cm
Now,
The ratio is as follows:-
400 cm : 800 cm
= 400 cm/800 cm
Reducing into lower terms,
= 1/2
= 1 : 2
Hence the final ratio is 1 : 2.
________________________________
Answer:
To Find:-
The ratio of tne followings:-
Solution:-
1. 50kg : 1 quintal
→ Here the units are not same. So for finding the ratio we need to bring these into same units.
We know 1 quintal = 100 kg
So the ratio = 50 kg : 100 kg
Now,
50 kg : 100 kg
= 50kg/100kg
Reducing these to lower term,
= 50/100
= 1/2
= 1 : 2
Hence the final ratio is 1 : 2
________________________________
2. 25 paise : Rs. 2
→ Here the units are not same. So we need to bring these into same units.
We know,
Rs.1 = 100 paise
Hence
Rs.2 = 2 × 100 paise = 200 paise
Now,
Ratio is as follows:-
25 paise : 200 paise
= 25 paise/200 paise
Reducing into lower term,
= 1/8
= 1 : 8
Hence the final ratio is 1 : 8
________________________________
3. 200m : 4 km
→ Here the units are not same. So we need to bring these into same units.
We know,
1 km = 1000 m
Hence,
4 km = 4 × 1000 = 4000 m
Now,
The ratio is as follows:-
200 m : 4000 m
= 200 m/4000 m
Reducing into lower terms,