Solved Questions on Fraction
1. When Thor buys a ready-made shirt, two-fifths of my pocket money is spent. If $1836 is still left with me, what is the money I had before I bought the shirt?
a) $1101.60
b) $3010.00
c) $3030.00
d) $3060.00
Answer: d) $3060.00
Explanation: Let total pocket money = $1
Fraction of amount spent on shirt = 2⁄5 × 1 = 2⁄5
Fraction of balance amount = 1 − 2⁄5 = 3⁄5
Now, 3⁄5 of total money = $1836
Total money = $1836 × 5/3 = $3060
2. A string of length 25200 centimetres is cut into pieces each of length 5 ¼ metres. How many pieces are obtained?
a) 24
b) 48
c) 2400
d) 4800
Answer: b) 48
Explanation: Length of string = 25200 cm ÷ 100 = 252 m
Length of each piece = 5 1⁄4 m = 21/4 m
Number of pieces = 252 ÷ 21/4
= 252 × 4/21
= 12 × 4
= 48
3. Hercules’s home is 7/10 kilometres from his school. He walked some distance and then took a van for 2/3 kilometres up to the school. How far did he walk?
a) 1/15
b) 2/15
c) 1/30
d) 7/30
Answer: c) 1/30
Explanation: Distance of Hercules’s home from his school = 7/10 km
Distance covered by a van = 2/3 km
Distance of Hercules’s home from his school = Distance covered by a van + Distance covered by walking
Distance covered by walking = Distance of Hercules’s home from his school – Distance covered by a van
4. An amount of $13250 is divided among three friends Jason, Orion and Xavier. If Jason gets one-fifth of it and Orion gets one-fourth of it, how much does Xavier get?
a) $7177.5
b) $7187.5
c) $7277.5
d) $7287.5
Answer: d) $7287.5
Explanation:
Total amount = $13250
Jason gets of amount $13250 = 1⁄5 × $13250 = $2650
Orion gets of amount $13250 = 1⁄4 × $13250 = $3312.5
Hence, Xavier gets the remaining money.
Xavier gets amount = $13250 − ($2650 + $3312.5)
= $13250 − ($5962.5) = $7287.5
5. Mr Perseus gave one-third of his money to his daughter, two-fifths of his money to his son and the remaining amount to his wife. If his wife got $10320, how much money did Mr Perseus have originally?
a) $35700
b) $37700
c) $38700
d) $39700
Answer: c) $38700
Explanation:
