the lectures of a certain college contributed for a charity. all the lectures of the college are classified as senior and junior lectures. the senior lectures contributed an average of Rs 250 per head and the junior lectures contributed an average of rs 100. if average contribution per lecture is rs 160 on the whole what percentage of the lectures are junior lectures
Answers
Given : senior lectures contributed an average of Rs 250 per head and the junior lectures contributed an average of rs 100. average contribution per lecture is rs 160 on the whole
To find : what percentage of the lectures are junior lectures
Solution:
Let say Junior lecturers are J
& Total Lectures = T
Hence Senior lecturers = T - J
senior lectures contributed an average of Rs 250 per head
Contribution of senior lectures = 250(T-J)
junior lectures contributed an average of rs 100
=> Contribution of Junior lectures = 100J
Total Contribution = 250(T - J) + 100J
= 250T - 150J
Average contribution per lecture is rs 160
=> Total Contribution = 160T
250T - 150J = 160T
=> 90T = 150J
=> J = 90T/150
=> J = 3T/5
=> (J/T) = 3/5
=> (J/T) * 100 = 100 * 3/5
=> (J/T) * 100 = 60 %
60 % lectures are junior lectures
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