Question

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 the donation. If the college is to raise exactly the amount needed for the new building what should be the average donation from the remaining people to be solicited?

• A. 300
• B. 250
• C. 400
• D. 500

Answer 1

The correct option is A 300

$\Rightarrow$ Let the number of people be $x$ who has been asked for donations.

$\Rightarrow$ People already solicited = $60\%ofx=0.6x.$

$\Rightarrow$ Remaining people = $40\%ofx=0.4x$.

$\Rightarrow$ Amount collected from the people solicited = $600\times 0.6x=360x$

$\Rightarrow$ Here, $360x$ is $75\%$ of amount collected.

$\Rightarrow$ So, Remaining $25\%$ amount = $120x$.

$\Rightarrow$ Thus, Average donation from remaining people = $\frac{Remainingamount}{Remainingpeople}=\frac{120x}{0.4x}=300$

$\therefore$ Average donation from remaining people to be solicited is $300.$