A survey was conducted among 1000 people to know about their eating ha

Question

A survey was conducted among 1000 people to know about their eating habits. It was found that 3/5 of the people prefer homemade food and rest prefer eating outside, 1/4th of the people who prefer eating outside like continental. If in total there were 650 people who do not like continental, how many people who prefer homemade food do not like continental?

A. 250
B. 300
C. 350
D. 400
E. None of these

A. 250
B. 300
C. 350
D. 400
E. None of these

newyork2012 · Answer

Homemade : 1000*3/5=600
Outside:400

Con:1/4*outside=100

650-300=350

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ScottTargetTestPrep · Answer

Solution:
 
We seet that 2/5 x 1000 = 400 people prefer eating outside, and of these 400 people, 1/4 x 400 = 100 people like continental. Since 650 people do not like continental, 1000 - 650 = 350 people like continental.

We also see that 3/5 x 1000 = 600 people prefer homemade food. Since 350 - 100 = 250 of these 600 people like continental, 600 - 250 = 350 of these people don’t like continental.

Alternatively, since 100 of 400 people who prefer eating outside like continental, 400 - 100 = 300 people who prefer eating outside do not like continental. Since the total number of people who don’t like continental is 650, it must be true that 650 - 300 = 350 people who prefer homemade food don’t like continental.

Answer: C

MathRevolution · Answer

Total: 1000 people

=>  \frac{3}{5}  of the people prefer homemade food:  \frac{3}{5}  * 1000 = 600

=> Rest prefer eating outside: 1000 - 600 = 400

=> \frac{1}{4}  of the people who prefer eating outside like continental:  \frac{1}{4}  * 400 = 100

=> People eating outside but do not like continental: 400-100 = 300.

If in total there were 650 people who do not like continental, then people who prefer homemade food but do not like continental are 650 - 300 = 350.

Answer C

SaquibHGMATWhiz · Answer

Solution: \frac{3}{5}*1000=600 of the people prefer homemade food Rest i.e., 400 prefer eating outside homemade.png 1/4th of the people who prefer eating outside like continental i.e., \frac{1}{4}*400=100 prefer eating outside like continental homemade1.png 650 people who do not like continental So, people who prefer homemade food do not like continental = 650-300=350 homemade2.png Hence the right answer is Option C

A survey was conducted among 1000 people to know about their eating ha

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