Symbiosis National Aptitude Test SNAP 2012 Paper

Question : 1 of 150

Marks: +1, -0

At a college football game, 4/5 of the seats in the lower deck of the stadium were sold. If 1/4 of all the seating in the stadium is located in the lower deck, and if 2/3 of all the seats in the stadium were sold, then what fraction of the unsold seats in the stadium was in the lower deck ?

3/20
1/6
1/5
1/3

Validate

Solution:

Let total number of seats in the stadium be p;
number of seats in the lower deck be x and number of seats in upper deck be y.
∴ p = x + y, x = p/4, y = 3p/4
Now in the lower deck, 4x/5 seats were sold and x/5 seats were unsold.
No. of total seats sold in the stadium = 2p/3.
No. of unsold seats in the lower deck = x/5 = p/20
No. of unsold seats in the stadium = p/3
∴ Required fraction =

{p/{20}}/{p/3}

3/{20}

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