Question

In a class of 100 students, 45 have bicycles. The number of students who have neither
a bike nor a bicycle is 25% of the students who have a bike. 33 % of students
having bicycles also have bikes.
How many students have a bike but not a bicycle?
A) 56
B) 55
C) 41
D) 26​

Answer 1

Answer:

write answer is 55 students

Answer 2

Given :-

• Total students = 100
• Students have bicycle = 45
• students who have neither a bike nor a bicycle = 25% of the students who have a bike .
• 33.33% of students having bicycles also have bikes.

To Find :-

• How many students have a bike but not a bicycle ?

Solution :-

given that,

• 33.33% of students having bicycles also have bikes.
• Students have bicycle = 45 .

so,

→ Number of students having both bicycle and bike = 33.33% of Students have bicycle = (100/3)% of 45 = (1/3) of 45 = 15 students .

then,

→ Number of students having only bicycle = Students have bicycle - Number of students having both bicycle and bike = 45 - 15 = 30 students .

now, given that,

• students who have neither a bike nor a bicycle = 25% of the students who have a bike .

now, let us assume that, number of students with only bike is equal to x .

so,

→ Number of students neither a bike nor a bicycle = 25% of

Number of students having both bicycle and bike + Number of students having only bike.

→ Number of students neither a bike nor a bicycle = 25% of (15 + x)

→ Number of students neither a bike nor a bicycle = (1/4) * (15 + x)

A/q,

→ 100 - (30 + x + 15) = (1/4)(15 + x)

→ 100 - (45 + x) = (1/4)(15 + x)

→ 55 - x = (1/4)(15 + x)

→ 4(55 - x) = 15 + x

→ 220 - 4x = 15 + x

→ 4x + x = 220 - 15

→ 5x = 205

→ x = 41 . (C) (Ans.)

Hence, 41 students have a bike but not a bicycle .

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