Exams › IBPS PO › Quantitative Aptitude
In a society, people like two types of music, pop and rock, and each person likes at least one type of music. 160 people like pop music, and the ratio of people who like pop music to those who like only rock music is 32:17 respectively. People who like only rock music are 212.5% of those who like both pop and rock music. Find the difference between the number of people who like only pop music and the number of people who like both pop and rock music.
- 25
- 50
- 40
- 80
Correct answer: 80
Solution
Let the number who like both be x. Then only rock = 212.5% of x = 17x/8, and pop-likers = only pop + both = 160. Using the ratio condition gives the values, and the required difference comes out to 80.
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