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 2 of 6.

Aadarsh kumar said:   5 years ago
It is clearly asked , "increased by "
(not increase in share , otherwise answer would be 1/56)
This means increment w.r.t initial share.

So,
Initial share of one person =1/8,
Nd now after withdrawal of one person, new share = 1/7,
so, increment =(1/7 - 1/8)=1/56.

So, share increased by,
=(increment in share /initial share)
=1/56÷1/8 = 1/7 answer.

Hope you all will get the point.
(2)

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.

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

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.

AMAN SAJWAN said:   7 years ago
Let take the cost of the car as 8 unit. All have to pay 1 unit each. When one person withdraws then his 1 unit will be paid combined by those 7 peoples.

So each have to pay 1/7 unit extra. So this is the increment.

Mars said:   7 years ago
The Answer is 1/7.

Initially share is 1/8 (since 8 people are sharing) so it means there are eight of 1/8).

Then one back off, therefore only seven 1/8 is left, so the eighth one has to be distributed equally among seven of those who did not back off, so 1/8 x7 =1/56 (which is the extra share). So now each of the eight-person share increase by 1/8 + 1/56 = 15/56.

Therefore increased in share is.

New share - old share.

Therefore, 1 15/56 - 1/8 = 1/7.

Balu said:   7 years ago
Answer is 1/8 because at last, only 7 people remaining hence 1/56/1/7=1/8.

Prem said:   7 years ago
Let the price be 56000/.

-----------------------> Initially Later
no. of persons -> 8 ----- 7
amount for each= 7000/- ----- 8000/-
increment for each = 8000-7000 = 1000/-
The actual share of each = 7000/-
The share of each is increased by = 1000/7000 = 1/7th.

Deepa said:   8 years ago
1/56 of Rs 8 is also equal to 1/7.

Deepa said:   8 years ago
Let, the total amount be Rs. 8.
for 8 persons per head=Rs.1 which is(1/8),
for 7 persons per head =Rs.1.1 which is(1/7),
so the increment is 1.1-1=0.1 which is1/7-1/8=1/56,
let's check the increment,
(1/56) of Rs.8=0.1.


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