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Question

At Pravins University, $$3$$ out of every $$5$$ student live in an on-campus dormitory.If one out of every $$10$$ student who do not live in an on-campus dormitory lives in a university -owned apartment, what fractional part of the student body does not live in either in an on-campus dormitory or a university-owned apartment?


A
710
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B
12
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C
925
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D
310
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E
725
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Solution

The correct option is C $$\dfrac{9}{25}$$
Let $$50$$ be total number of students 

$$\therefore 50\times \dfrac{3}{5} = 30$$ - so $$30$$ students live on campus dormitory. 
$$20\times \dfrac{1}{10} = 2$$ - so $$2$$ students live in a university-owned apartment. 

$$Remaining \ students = 18$$ 

$$\therefore$$ The no. of students who does not live in either an on-campus dormitory or a university owned apartment $$= \dfrac{18}{50}$$
$$= \dfrac{9}{25}$$

Option C

Maths

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