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.

V.vinod said:   1 decade ago
Let us take price of the car is Rs. 8.

It can share 8 people by 8/8rp each i.e 1 rupee.

But 1 person is withdrawn so now it can shares 7 people by 8/7 rupees.

So the increment is 1-8/7 = 1/7.

Hope you understand now :).

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.

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.

Mahmud said:   8 years ago
Let, the rent is tk. 1. so per head share of first 8 people = 1/8,
After one person opted share per person become = 1/7.
Now, per head share increase=(1/7-1/8) =1/56. This is the information wanted.

Vikram said:   8 years ago
Let the total cost of rent be 1.
No Of person = 8,
Share of every body= 1/8,
When one withdrew, then total persons remain = 7,
Now, the total cost divided into 7 persons.
Share of every body= 1/7.

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.

Karthikeyan R said:   9 years ago
Original share of 1 person = 1/8.
New share of 1 person = 1/7.

Increase in the share of each person = 1/7 - 1/8 = 1/56.

ie. 1/7 of 1/8 means 1/7 of the original share of the each person.

Soureek said:   1 decade ago
Let's say that the cost of the car is Rs 56.

Share of 1 person = 56/8 = Rs 7.

Share of 1 person after leaving = 56/7 = Rs 8.

Cost increased = 8-7 = Rs 1.

Required fraction = 1/7.

Debajyoti Chowdhury said:   9 years ago
In this question, they asked for how much each person's cost is increased by and not the ratio of the increase.

So according to the question, the correct answer should be 1/56.

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.


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