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A college has raised 75% of the amount it needs for a new building by receiving an average donation of Rs. 600 from the people already solicited. The people already solicited represent 60% of the people, the college will ask for donations. If the college is to raise exactly the amount needed for the new building, what should be the average donation from the remaining people be solicited?
Answer & Solution
Correct Answer:
Option
A
Let the number of people be x who has been asked for the donations
People already solicited = 60% of x = 0.6x
Remaining people = 40% of x = 0.4x
Amount collected from the people solicited, = 600 × 0.6x = 360x
360x = 75% of the amount collected
Remaining amount = 25% = 120x
Thus,
Average donations from remaining people,
$$\eqalign{
& = \frac{{120{\text{x}}}}{{0.4{\text{x}}}} \cr
& = 300 \cr} $$
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Loginconsider no: of students are 100
then in 100------> 60 are people already solicited
then we have 0.75X is the amount from people already solicited
then we have money from each people already solicited =600
then
600*60=0.75X
from here we get X =total amount=48000
then remaing pepole are 40 and from them we get 0.25X% of amount then
===>0.25*48000=12000 for 40 members and for each member we get ===>12000/40=300
this is the ans
consider no: of students are 100
the in 100------> 60 are people already solicited
the we have 0.75X is the amount from people already solicited
then we have money from each people already solicited =600
then
600*60=0.75X
from here we get X =total amount=48000
then remaing pepole are 40 and from them we get 0.25X% of amount then
===>0.25*48000=12000 for 40 members and for each member we get ===>12000/40=300
this is the ans