# 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 donationsPeople 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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Related Questions on Percentage

A. $$\frac{1}{4}$$

B. $$\frac{1}{3}$$

C. $$\frac{1}{2}$$

D. $$\frac{2}{3}$$

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

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