Discussion :: Arithmetic Reasoning - Section 1 (Q.No.43)
In a family, the father took 1/4 of the cake and he had 3 times as much as each of the other members had. The total number of family members is
Answer: Option C
|Suresh said: (Apr 1, 2013)|
|How there could be (x+1) members why can't x members?|
|Apeksha said: (Aug 24, 2013)|
|Suppose there is 100 kg of cake, then father's share = 25kg.
So each family member will get 25/3 kg.
Let x be the no.of members.
x(25/3) = 75.
x = 9.
Total members 9+1(father).
|Teja said: (Oct 20, 2014)|
|Let total number of family members be a.
Total amount of cake be x.
1/4x is fathers part.
3/4x is remaining members part (a-1).
1/4x = 3(3/4x)/a-1 (remaining members excluding father).
a-1 = 9.
a = 10.
|Ravi. U S said: (May 3, 2017)|
|This type of problem can be solved still easier way.
Father had 1 part of a cake in 4 parts. Remaining parts are 3. Multiply the remaining parts with the number of times it is more. As given in the problem 3*3= 9. Including father, it is 10 members.
|Gauri said: (Sep 21, 2017)|
|Arjun said: (Apr 2, 2018)|
|Let the family members b x.
Father ate 1/4 of the cake;
Rest members got 3/4x,
ATQ, the father had 3 times more than other members share i.e 3/4,
3(3/4x) = 1/4,
3/4x = 1/12,
36 = 4x,
X = 9,
9 + 1(father) = 10 total family member.
|Tharini said: (Jun 30, 2019)|
|Good explanation. Thanks @Ravi.|
|Kanchik said: (Dec 11, 2019)|
|Kavi said: (Oct 23, 2020)|
|Rakesh said: (May 20, 2021)|
|Nice, thanks @Ravi.|
|Dhruvan said: (Jul 14, 2021)|
Why take x for 3/4 term and not for 1/4 term? I think x term will be both sides of the eqn.
|Isa said: (Oct 14, 2021)|
|As per the question, each and every other 1/4 of the cake was shared by 3 people as compared to that of their father.
Remaining quarters are 3*3(people) for all 3 quarters = 9 + 1(Father) = 10.
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