In a class of 80 students, the ratio of the urban to the rural is 5 : 3. In a test, the average score of the rural students is 40% more than the urban students. If the average score of all the students is 69, then what is the average score of the rural students?
Show answer & explanation
Correct answer: A
Explanation
Correct Answer is option 1 i.e. 84
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Understanding |
Application |
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Since total students = 80 Ratio of the urban to the rural students = 5 : 3 Hence, Urban students in the class = 80 × 5/8 = 50 Rural students in the class = 80 × 3/8 = 30
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Let the average score of urban students be x. Total score of urban students = 50x Average score of rural students = 1.4x Total score of rural students = 30 × 1.4x = 42x Since average score of all the students is 69; Total score of all students = 69 × 80 = 5520 Now, 50x + 42x = 5520 ⇒ x = 5520/92 = 60 Average score of rural students = 1.4 × 60 = 84 |