Question 14 - Figure it out - Page 28, 29, 30 - Chapter 1 Class 8 - Fractions in Disguise (Ganita Prakash II)

Transcript

Question 14 In a room of 100 people, 99% are left-handed. How many left-handed people have to leave the room to bring that percentage down to 98%?Since 99% are left handed in a group of 100 Number of left handed people = 99% × Total = 99/100 × 100 = 99 Thus, for 100 people - 99 are Left handed, 1 is Right handed Now, We want 98% Left-handed. This means 2% must be Right-handed. Since the number of Right-handed people does not change, there is still exactly 1 Right-handed person. Since we want left-handed people to leave, our Total people will go down We can write 2% of Total people = 1 person 2/100 × Total = 1 1/50 × Total = 1 Total = 1 × 50 Total = 50 people Thus, our new group will have total 50 people, in which 1 person is right handed Now, We started with 100 people, and now 50 are left And, right handed people didn’t leave So, all left handed people left Thus, 50 left handed people hand to leave the room