Aptitude - Simplification - Discussion

Discussion Forum : Simplification - General Questions (Q.No. 9)
9.
Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
1
7
1
8
1
9
7
8
Answer: Option
Explanation:

Original share of 1 person = 1
8

New share of 1 person = 1
7

Increase = 1 - 1 = 1
7 8 56

Required fraction = (1/56) = 1 x 8 = 1
(1/8) 56 1 7

Discussion:
51 comments Page 3 of 6.

Q nd Ans said:   7 years ago
Assume the price of the car be 100Rs.
By quuestion, Eight people will equally share the rental of the car But one leaves the deal so
Case beforehand
100/8= 12.5rs to be paid by each

One leaves the deal
100/7 = 14.285rs
Increase in price to be paid equally by all 7
14.285-12.5 = 1.785

Now how many times of the original price is contained in the increment value
1.785/12.5 = 1/7.

Kutty maman said:   6 years ago
Increased by 1/56.
Or say increased to 1/7 (from 1/8).

Upamanyu Dwivedi said:   6 years ago
@All.

It is asking "the share of each of the remaining persons increased by" which is the difference between new and old ration which is 1/56 this should be the answer.

Zafar said:   5 years ago
If car rate is x and initial contribution is why then,

Increased contribution of each person is x/56 or y/7.

San said:   5 years ago
@All.

Answer is 1/7 when it's is said that "increased to" as 1/56 + 1/8 =1/7.

But according to the question, "increased by" so answer will be 1/8 as (1/7-1/56).

Correct me, if I am wrong.

Dorji Gyeltshen said:   5 years ago
Let total cost beared by 8 be 64.
8-64
1 people have to bear 8 rupee
When one people withdrew
64÷7 = 9.243.
Additional cost = 9.243-8 =1.143.

Let's check the answer from the given option by converting it in %.
(1÷7)*100=14.3%.

And, as we get;
(1.143÷8)*100 = 14.3%.
Hence proved that 1/7 is correct.

Deepak said:   1 decade ago
It is given that share would be divided among remaining person so why 1/8 is divided, it should be 1/7 can anyone clarify?

Uma said:   1 decade ago
Need some clear and simple explanation.

Jojo negi said:   1 decade ago
I think 1/8 is right answer

total increase is 1/56

this is divided among 7 equally

means every one's share is 1/8

Vamshidhar reddy said:   1 decade ago
Simple one:

One's share is 1/8
Seven person's share is 7/8

Ans = (1/8)*(8/7)(simple one person's share divide by seven persons share)
= 1/7


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