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 1 of 6.

Abhiruchi said:   1 decade ago
Can any one explain in detail?

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

Bhavya said:   1 decade ago
Thank you vamshidhar reddy.

Jatin said:   1 decade ago
I am still not agree on this. As in the question it is asking for the increament in share of remaining persons. 1/7 is the new share but not the increament.

Deepi said:   1 decade ago
Let take the arrangement cost is 64 rupees.
originally 8 person share is as each 8 rupees.
Due to one person withdraw the amount is divided as 64/7=9.1
i.e each one amount is increased by 1.1 instead of 8.

So from the question how it is calculated explain any one please?

Surojit saha said:   1 decade ago
See according to the question the answer will be 1/56 in my logic.
now explain it-

Let the cost of car be 1 since we dont know the price of car.
Now it is divided equally among 8 people so each person's share=1/8
Then it is divided equally among 7 people so each's person share=1/7
So, increase in share of each person should be 1/7-1/8=1/56.

Jaya said:   1 decade ago
Example if Rs.30 is shared by six persons one's share = Rs.5 (1/6) if one person is withdraw from it then one person's share.

= Rs.6 (1/5).

Here there are 5 persons each one's share is increased by one rupee so the share of each one increased by 1/5 likewise here finally 7 persons each one share is increased by 1/7.

Ragavendran said:   1 decade ago
What is mean by required fraction please explain?

(1/56) / (1/8) ?


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