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 5 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But 1 person is withdrawn so now it can shares 7 people by 8/7 rupees.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 :).
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But 1 person is withdrawn so now it can shares 7 people by 8/7 rupees.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 :).
Vishal said:
1 decade ago
Let us assume the rent of the car is 80 Rs.
The rent is divided among 8 people then the share of each person is 10.
1 person is withdrawn the one person cost i.e 10Rs is divided among 7 people.
The divided amount is 10/7.
Hence all 7 persons get equal % of divided amount.
Hence the % is 10/7*80 = 1/7.
The rent is divided among 8 people then the share of each person is 10.
1 person is withdrawn the one person cost i.e 10Rs is divided among 7 people.
The divided amount is 10/7.
Hence all 7 persons get equal % of divided amount.
Hence the % is 10/7*80 = 1/7.
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.
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.
Sho said:
9 years ago
Let the cost of the car be c.
Let each share be x.
Since 8 people are sharing equally c = 8x.
But one person withdraws from arrangement so now let each share be y,
So c will become as 7y.
Since in both cases, the cost is same we can write 8x = 7y. -----> equation 1.
From equation 1.
7y = 8x.
y = (8/7) * x.
(8/7) * x can be written as (1 + 1/7) * x.
So, increase in share value is 1/7.
Let each share be x.
Since 8 people are sharing equally c = 8x.
But one person withdraws from arrangement so now let each share be y,
So c will become as 7y.
Since in both cases, the cost is same we can write 8x = 7y. -----> equation 1.
From equation 1.
7y = 8x.
y = (8/7) * x.
(8/7) * x can be written as (1 + 1/7) * x.
So, increase in share value is 1/7.
Pooja thakka said:
9 years ago
1/56 is total increment. That should be divided among 7 people then why 1/8?
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.
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