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Rs. 720 was divided among A, B, C, D, E. The sum received by them was in ascending order and in arithmetic progression. E received Rs. 40 more than A. How much did B receive?
Correct answer is '134'. Can you explain this answer?
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Rs. 720 was divided among A, B, C, D, E. The sum received by them was...
Let A receive Rs. a and let the difference between each consecutive person be Rs. d.
Amount received by E = a + 4 d
According to question,
Amount received by E = Amount received by A + 40
a + 4d = a + 40
4d = 40
d = 10
Also,
Total amount = a + (a + d) + (a + 2d) + (a + 3d) + (a + 4d)
720 = 5a + 10d
720 = 5a + 100
a = 124
∴ Amount received by B = a + d = 124 + 10 = Rs.134.
Hence, the correct answer is Rs. 134.
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Rs. 720 was divided among A, B, C, D, E. The sum received by them was...
Given:
- The total amount is Rs. 720.
- The sum received by A, B, C, D, E is in ascending order and in arithmetic progression.
- E received Rs. 40 more than A.

To find:
- How much did B receive?

Solution:

Let's assume that A received x amount of money.

Since E received Rs. 40 more than A, E received (x + 40) amount of money.

The sum received by A, B, C, D, E is in ascending order. Let's assume that B received y amount of money.

- C receives (x + 2y) amount of money.
- D receives (x + 3y) amount of money.

The sum of the amounts received by A, B, C, D, E is equal to Rs. 720.

So, we can write the equation as:
x + (x + y) + (x + 2y) + (x + 3y) + (x + 40) = 720.

Simplifying the equation, we get:
5x + 6y + 40 = 720,
5x + 6y = 720 - 40,
5x + 6y = 680.

Since the sum received by A, B, C, D, E is in arithmetic progression, the difference between any two consecutive terms is the same.

So, the difference between B and A is y.

The difference between C and B is y.

The difference between D and C is y.

Hence, the common difference is y.

Now, let's find the values of x and y by substituting y = 1, 2, 3... and solving the equation 5x + 6y = 680.

When y = 1, x = 100.

When y = 2, x = 80.

When y = 3, x = 60.

When y = 4, x = 40.

When y = 5, x = 20.

When y = 6, x = 0.

The sum received by A, B, C, D, E should be positive, so we can ignore the values of x and y when y > 4.

Therefore, when y = 1, the value of x is 100.

So, A received Rs. 100 and B received Rs. (100 + 1) = 101.

Hence, B received Rs. 101.

The correct answer is 101.
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Rs. 720 was divided among A, B, C, D, E. The sum received by them was in ascending order and in arithmetic progression. E received Rs. 40 more than A. How much did B receive?Correct answer is '134'. Can you explain this answer?
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Rs. 720 was divided among A, B, C, D, E. The sum received by them was in ascending order and in arithmetic progression. E received Rs. 40 more than A. How much did B receive?Correct answer is '134'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Rs. 720 was divided among A, B, C, D, E. The sum received by them was in ascending order and in arithmetic progression. E received Rs. 40 more than A. How much did B receive?Correct answer is '134'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rs. 720 was divided among A, B, C, D, E. The sum received by them was in ascending order and in arithmetic progression. E received Rs. 40 more than A. How much did B receive?Correct answer is '134'. Can you explain this answer?.
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