Q56. 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 to be solicited?

(a) Rs.300

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(b) Rs. 250

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(d) Rs. 500

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Solution

The correct option is A
(a) Rs.300

(a)Let the total population be X.

Then amount received right now is = 0.6X × 600 = 360X.

This is 75% of the amount. Thus the total amount required is 480X. Hence,

remaining amount = 480X – 360X = 120X

∴ Required contribution per head = 300

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Q. 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?

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The correct option is A (a) Rs.300 (a)Let the total population be X. Then amount received right now is = 0.6X × 600 = 360X. This is 75% of the amount. Thus the total amount required is 480X. Hence, remaining amount = 480X – 360X = 120X ∴ Required contribution per head = 300

The correct option is A
(a) Rs.300

(a)Let the total population be X.

Then amount received right now is = 0.6X × 600 = 360X.

This is 75% of the amount. Thus the total amount required is 480X. Hence,

remaining amount = 480X – 360X = 120X

∴ Required contribution per head = 300