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:
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.
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.
So according to the question, the correct answer should be 1/56.
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.
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.
Sandhya said:
9 years ago
Assume total rent is 100.
100 ÷ 8 = 12.5.
Each share 12.5.
One person withdraws 8 - 1 = 7,
12.5 ÷ 7 = 1/7.
100 ÷ 8 = 12.5.
Each share 12.5.
One person withdraws 8 - 1 = 7,
12.5 ÷ 7 = 1/7.
Rishabh raj said:
9 years ago
The increased amount share in remaining 7, so the answer should be 1/8.
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.
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.
Vikas kumar said:
8 years ago
Let us take price of car R.s 80.
Can share 8 peple8/8 each R.s1.
One person withdraws so now.
can share 7 people 8/7,
1-8/7 = 1/7.
Can share 8 peple8/8 each R.s1.
One person withdraws so now.
can share 7 people 8/7,
1-8/7 = 1/7.
Sara said:
8 years ago
Can anyone explain the meaning of question?
I didn't get the question.
I didn't get the question.
Ajay said:
8 years ago
When 8 are sharing 1/8.
When seven are sharing 1/7.
Individual increment (1/7)-(1/8)=1/56.
So, the answer is 1/56.
When seven are sharing 1/7.
Individual increment (1/7)-(1/8)=1/56.
So, the answer is 1/56.
Ammar said:
8 years ago
Let the cost be 300 and the number of people initially be 6.
The share of one person =1/6.
ie the share is 300*(1/6)=50.
Now if one person leaves the new share would be1/5.
ie 300*(1/5)=60.
So the share per person increased by 10.
Now according to the answer provided above the share will increase by 1/5 in this equation. which should then be equal to 10..lets try this,
300(1/5)=60 which by the way is the total amount every person has to pay.
The real increment how ever is,
1/5-1/6=1/30.
Let us check this out now,
300(1/30)=10And we know this is the right answer.
So in the real question, it will be 1/7-1/8=1/56.
The share of one person =1/6.
ie the share is 300*(1/6)=50.
Now if one person leaves the new share would be1/5.
ie 300*(1/5)=60.
So the share per person increased by 10.
Now according to the answer provided above the share will increase by 1/5 in this equation. which should then be equal to 10..lets try this,
300(1/5)=60 which by the way is the total amount every person has to pay.
The real increment how ever is,
1/5-1/6=1/30.
Let us check this out now,
300(1/30)=10And we know this is the right answer.
So in the real question, it will be 1/7-1/8=1/56.
(1)
Shakti Prasad Dash said:
8 years ago
The easiest way to understand :
Initially, 8 people were to share the cab but since 1 person opted out, 7 had to share the bill.
Let's take the LCM of 8 & 7 which equals to 56.
So if 8 were to share, the cost per head would have been Rs. 7 per person
but now the cost per head = 56/7 = Rs. 8.
The question is by how much did the share increase? or to put it here, how much is the increase from 7 to 8?
its (8-7)/7 = 1/7 (Ans).
Initially, 8 people were to share the cab but since 1 person opted out, 7 had to share the bill.
Let's take the LCM of 8 & 7 which equals to 56.
So if 8 were to share, the cost per head would have been Rs. 7 per person
but now the cost per head = 56/7 = Rs. 8.
The question is by how much did the share increase? or to put it here, how much is the increase from 7 to 8?
its (8-7)/7 = 1/7 (Ans).
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