CLAT Exam  >  CLAT Questions  >  An amount of Rs 735 was divided between A B C... Start Learning for Free
An amount of Rs 735 was divided between A B C if each of them had received rs. 25 less their shares would have been in the ratio of 1:3:2 the money received by C was?
Verified Answer
An amount of Rs 735 was divided between A B C if each of them had rece...
If each of them have received 25rs less means overall they have recieved rs 75  less.

Then the total amount is 735 - 75 = rs 660

Now the ratio is 1:3:2 if 25 rs less is distributed to each . Let a have x amount , then b and c will have 3x and 2x rs with them .

Total money = x+3x+2x = 660 

or, 6x = 660

or, x= 110 rs .

Money received by c was 2x = 2 (110) + 25 = 220 + 25  = Rs245. 
This question is part of UPSC exam. View all CLAT courses
Most Upvoted Answer
An amount of Rs 735 was divided between A B C if each of them had rece...
Given:
- Total amount = Rs 735
- Shares after deducting Rs 25 from each person's share: 1:3:2

To Find:
- The amount received by person C

Solution:
Let's assume the original shares of A, B, and C as x, y, and z respectively.

1. Formulating Equations:
We can form equations based on the given information.
- Equation 1: x + y + z = 735 (total amount)
- Equation 2: (x-25) : (y-25) : (z-25) = 1:3:2 (shares ratio after deducting Rs 25 from each share)

2. Solving Equations:
We can solve these equations to find the values of x, y, and z.

From Equation 2, we can express y and z in terms of x:
- y - 25 = 3(x - 25)
- z - 25 = 2(x - 25)

Expanding the equations:
- y - 25 = 3x - 75
- z - 25 = 2x - 50

Simplifying the equations:
- y = 3x - 50
- z = 2x - 25

Substituting the values of y and z in Equation 1:
x + (3x - 50) + (2x - 25) = 735

Simplifying the equation:
6x - 75 = 735
6x = 810
x = 810/6
x = 135

Substituting the value of x in Equation 1:
135 + y + z = 735
y + z = 735 - 135
y + z = 600

Using the values of y and z obtained earlier:
3x - 50 + 2x - 25 = 600
5x - 75 = 600
5x = 675
x = 675/5
x = 135

Now, we have the values of x and y. We can find the value of z using the equation:
z = 2x - 25
z = 2(135) - 25
z = 270 - 25
z = 245

3. Answer:
The original amount received by person C is Rs 245.
Community Answer
An amount of Rs 735 was divided between A B C if each of them had rece...
Why u have added 25 again In last step..
Explore Courses for CLAT exam

Similar CLAT Doubts

Directions: Study the following information carefully and answer the questions given beside.In a small village called Sunderpur, there were 200 families. Each family had an average of 5 members. One day, the village held a festival to celebrate the harvest season. At the festival, the villagers prepared food, music and dance performances to entertain the guests. One of the highlights of the festival was a traditional game of tug-of-war. The game was played between two teams, each consisting 15 players. The first team had a ratio of 3 : 2 of males to females, while the second team had a ratio of 2 : 3 of males to females. The game was played with a thick rope that was 100 feet long. The team that managed to pull the rope to their side won the game. In the end, the first team won the game, and the villagers cheered them on. The winning team received a prize of Rs. 1000, which was divided among the team members in the ratio of their individual contributions to the game. The first team decided to divide the prize money in the ratio of 1 : 2 : 3 : 4 between their four strongest male players. The remaining male players received Rs. 50 each, while the female players received Rs. 30 each. The villagers were proud of their community spirit and the successful festival. They hoped to continue organizing such events to bring people together and celebrate their traditions.Q.What was the difference between the prize money that all female players got and the prize money of the male player who got the highest prize money?

Top Courses for CLAT

An amount of Rs 735 was divided between A B C if each of them had received rs. 25 less their shares would have been in the ratio of 1:3:2 the money received by C was?
Question Description
An amount of Rs 735 was divided between A B C if each of them had received rs. 25 less their shares would have been in the ratio of 1:3:2 the money received by C was? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about An amount of Rs 735 was divided between A B C if each of them had received rs. 25 less their shares would have been in the ratio of 1:3:2 the money received by C was? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An amount of Rs 735 was divided between A B C if each of them had received rs. 25 less their shares would have been in the ratio of 1:3:2 the money received by C was?.
Solutions for An amount of Rs 735 was divided between A B C if each of them had received rs. 25 less their shares would have been in the ratio of 1:3:2 the money received by C was? in English & in Hindi are available as part of our courses for CLAT. Download more important topics, notes, lectures and mock test series for CLAT Exam by signing up for free.
Here you can find the meaning of An amount of Rs 735 was divided between A B C if each of them had received rs. 25 less their shares would have been in the ratio of 1:3:2 the money received by C was? defined & explained in the simplest way possible. Besides giving the explanation of An amount of Rs 735 was divided between A B C if each of them had received rs. 25 less their shares would have been in the ratio of 1:3:2 the money received by C was?, a detailed solution for An amount of Rs 735 was divided between A B C if each of them had received rs. 25 less their shares would have been in the ratio of 1:3:2 the money received by C was? has been provided alongside types of An amount of Rs 735 was divided between A B C if each of them had received rs. 25 less their shares would have been in the ratio of 1:3:2 the money received by C was? theory, EduRev gives you an ample number of questions to practice An amount of Rs 735 was divided between A B C if each of them had received rs. 25 less their shares would have been in the ratio of 1:3:2 the money received by C was? tests, examples and also practice CLAT tests.
Explore Courses for CLAT exam

Top Courses for CLAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev