Question
Download Solution PDFComprehension
Direction: Read the information carefully and answer the following questions:
In a school of 750 students, each student likes atleast one of the three colors- Red, Green and Blue. 109 students like only red color, 150 students like only green color and 125 students like only blue color. The number of students who like red and green colors only is 70% of the students who like only green color. The number of students who like red and blue colors only is 60% of the students who like only blue color. 100 students like all the colors.
Find the number of students who like green and blue colours only.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Total number of students = 750
The number of students who like red and green colours only = 70% of 150 students
and The number of students who like red and blue colours only = 60% of 125 students
Calculation:
Let the number of students who like green and blue colours only be a.
Number of students who like red and green colours only = (70/100) × 150
⇒ 105 students
Number of students who like red and blue colours only = (60/100) × 125
⇒ 75 students
Now, The total number of students = 750
⇒ 109 + 150 + 125 + 100 + 105 + 75 + a = 750
⇒ 664 + a = 750
⇒ a = 750 – 664
⇒ a = 86 students
∴ 86 students like both green and blue colors only.
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