To express the given quantity as a percentage of other, we have to consider the following.
Are they in same unit or different units.
Express the first quantity as a percentage of the second :
Problem 1 :
10 km, 50 km
Solution :
Expressing 10 km of 50 km as fraction :
= 10/50
Converting as percentage :
= (10/50) × 100
= 20%
So, the answer is 20%.
Problem 2 :
€2, €8
Solution :
Expressing €2 of €8 as fraction :
= 2/8
Converting as percentage :
= (2/8) × 100
= (1/4) × 100
= 25%
So, the answer is 25%.
Problem 3 :
300 m, 0.7 km
Solution :
1 km = 1000 m
0.7 km = 0.7 ×1000 = 700 m
Expressing 300 m of 700 m as fraction :
= 300/700
Converting as percentage :
= (300/700) × 100
= 42.9%
So, the answer is 42.9%.
Problem 4 :
60 cents, $2
Solution :
$1 = 100 cents
$2 = 200 cents
Expressing 60 cents of 200 cents as fraction :
= 60/200
Converting as percentage :
= (60/200) × 100
= 30%
So, the answer is 30%.
Problem 5 :
8 months, 2 years
Solution :
1 year = 12 months
2 year = 24 months
Expressing 8 months of 24 months as fraction :
= 8/24
= 1/3
Converting as percentage :
= (1/3) × 100
= 33%
So, the answer is 33%.
Problem 6 :
50 g, 1.2 kg
Solution :
1 kg = 1000 g
1.2 kg = 1.2 × 1000 = 1200 g
Expressing 50 g of 1200 g as fraction :
= 50/1200
Converting as percentage :
= (50/1200) × 100
= 4.2%
So, the answer is 4.2%.
Problem 7 :
24 min, 2 hours
Solution :
1 hour = 60 minutes
2 hour = 120 minutes
Expressing 24 minutes of 120 minutes as fraction :
= 24/120
Converting as percentage :
= (24/120) × 100
= 20%
So, the answer is 20%.
Problem 8 :
0.5 m, 25 cm
Solution :
1 m = 100 cm
0.5 m = 50 cm
Expressing 50 cm of 25 cm as fraction :
= 50/25
Converting as percentage :
= (50/25) × 100
= 200%
So, the answer is 200%.
Problem 9 :
5 mg, 2 g
Solution :
1 mg = 0.001 g
5 mg = 0.005 g
Expressing 0.005 g of 2 g as fraction :
= 0.005/2
Converting as percentage :
= (0.005/2) × 100
= 0.25%
So, the answer is 0.25%.
Problem 10 :
3 weeks, 15 days
Solution :
1 week = 7 days
3 weeks = 7 × 3 = 21 days
Expressing 21 days of 15 days as fraction :
= 21/15
= 7/5
Converting as percentage :
= (7/5) × 100
= 140%
So, the answer is 140%.
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