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28 Jan 2016, 12:31
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C
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All of the shoppers in a grocery store are either male or female. Are there more than 25 male shoppers in the store?
(1) There are 10 more male shoppers than female shoppers in the grocery store.
(2) 40 percent of the shoppers are female.
Pls explain this.
(1) There are 10 more male shoppers than female shoppers in the grocery store.
(2) 40 percent of the shoppers are female.
Pls explain this.
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28 Jan 2016, 12:57
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dheerajkaushik90
All of the shoppers in a grocery store are either male or female. Are there more than 25 male shoppers in the store?
(1) There are 10 more male shoppers than female shoppers in the grocery store.
(2) 40 percent of the shoppers are female.
Pls explain this.
(1) There are 10 more male shoppers than female shoppers in the grocery store.
(2) 40 percent of the shoppers are female.
Pls explain this.
Let T, M and F be the total number of shoppers, male shoppers and female shoppers respectively.
The question asks whether M>25 ?
Per statement 1, M=F+10 , without the value of T, this statement is clearly not sufficient. If T= 50, then F=20, M = 30 ("yes") but if T = 30 , then M = 20 ("no") and F = 10. Thus you get 2 different answers for question asked. Not sufficient.
Per statement 2, F=0.4T --> again clearly not sufficient.
Combining the 2 statements you get, F = 0.4T, M=0.6T and M=F+10 , you have 3 equations to solve for 3 variables. Sufficient.
C is the correct answer.
Hope this helps.
Sirakri
dheerajkaushik90
All of the shoppers in a grocery store are either male or female. Are there more than 25 male shoppers in the store?
(1) There are 10 more male shoppers than female shoppers in the grocery store.
(2) 40 percent of the shoppers are female.
Pls explain this.
(1) There are 10 more male shoppers than female shoppers in the grocery store.
(2) 40 percent of the shoppers are female.
Pls explain this.
Let's take shoppers=s; male shppers=m; female shoppers=f
Question: IS m>25?
Answer can be: TRUE or FALSE, we don't need value here.
1) m=f+10 => we don't know f here, so we don't know if m>25.
2) f=0.4s => we don't need this information alone
1) & 2) We have
m=f+10 & f=0.4s
Substituting => m=0.4s+10
From this, we can derive m which can be > or < than 25.
Hence C
