Avinash_R1 wrote:
Bunuel wrote:
A florist found that 60% of his customers on Valentine's Day bought roses. People had the option that day of buying red roses, yellow roses or orange roses and half of all the people who bought roses bought red roses. Did more than half the customers buy exactly two varieties of rose?
(1) Of the 80 customers the florist had, only those people buying red roses also bought exactly one other type of rose.
(2) Of the 80 customers the florist had, half of the people who bought red roses bought exactly one other type of rose.
can you please throw light on this problem?
for me it looks B is sufficient. for the following reason. Out of 48 customers who bought rose. 24 bought red. second statement says half of them bought exactly one other type rose. that means 12 people bought red + exactly one other type of rose. Remaining 12 customers who bought red rose might have got either only red (or) all three. Remaining 24 if all would have got one other type of rose. If you sum it will be only 36 < 40.
B should be sufficient. why it is wrong?
In B Total 48 people bought roses. 24 bought Red Roses. Out of those 24, 12 bought Red + (Either Orange or Yellow). Rest 12 either bought only Red or three varieties which do not fit our criteria of exactly two varieties.
Till here We have 12 people who fit our criteria and 12 who do not after analyzing 24 people
Now the other half which is 24 people their are 4 scenarios
A) All 24 have bought Yellow then our criteria will be 12<24
B) All 24 have bought Orange then our criteria will be 12<24
C) All have bought both Orange and Yellow then our criteria will be 36>24
D) A mix of people (Orange, Orange+Yellow) (Yellow, Orange+Yellow). Here we cannot identify our criteria
Hence B is insufficient
Hope you understand