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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?

A. 300

B. 250

C. 400

D. 500

Answer: Option A

Solution(By Examveda Team)

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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Comments ( 2 )

  1. Sydavali Shaik
    Sydavali Shaik :
    5 years ago

    by simple steps also we can get
    consider 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

  2. Sydavali Shaik
    Sydavali Shaik :
    5 years ago

    by simple steps also we can get
    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

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