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A earns 20% more than B. C earns 25% more than A. A earns 20% more than D. E earns 10% more than A. A, B, C, D, and E earn integer amounts less than Rs.100. What is the total amount earned by all five of them put together?
- a)301
- b)405
- c)456
- d)295
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A earns 20% more than B. C earns 25% more than A. A earns 20% more tha...
Let the earnings be A, B, C, D, E.
From given conditions,
B = 5/6 A, C = 5/4 A, D = 5/6 A and E = 11/10 A
Taking LCM, A= 60.
Now, E = 60, B = 50, C = 75, D = 50 and E = 66
Adding A + B + C + D + E = 60 + 50 + 75 + 50 + 66 = 301.
Total amount earned by all 5 is 301 Rs.
From given conditions,
B = 5/6 A, C = 5/4 A, D = 5/6 A and E = 11/10 A
Taking LCM, A= 60.
Now, E = 60, B = 50, C = 75, D = 50 and E = 66
Adding A + B + C + D + E = 60 + 50 + 75 + 50 + 66 = 301.
Total amount earned by all 5 is 301 Rs.
Most Upvoted Answer
A earns 20% more than B. C earns 25% more than A. A earns 20% more tha...
Given:
A earns 20% more than B
C earns 25% more than A
A earns 20% more than D
E earns 10% more than A
All of them earn integer amounts less than Rs. 100
To find:
The total amount earned by all five of them put together
Solution:
Let's assume that B earns Rs. x
Then, A earns 20% more than B = Rs. (x + 0.2x) = Rs. 1.2x
Also, A earns 20% more than D, which means D earns Rs. y and A earns Rs. (y + 0.2y) = Rs. 1.2y
Now, C earns 25% more than A, which means C earns Rs. (1.25 * 1.2x) = Rs. 1.5x
And, E earns 10% more than A, which means E earns Rs. (1.1 * 1.2y) = Rs. 1.32y
As per the given condition, all of them earn integer amounts less than Rs. 100
So, we can assume that x, y, 1.2x, 1.2y, 1.5x, and 1.32y are all integers less than Rs. 100
We can now try different values of x and y to see which ones satisfy all the conditions:
Let's assume x = 10 and y = 10
B earns Rs. 10
A earns Rs. 12
D earns Rs. 10
C earns Rs. 15
E earns Rs. 13
The total amount earned by all five of them put together is:
10 + 12 + 10 + 15 + 13 = Rs. 60
Therefore, the correct answer is option 'A'.
A earns 20% more than B
C earns 25% more than A
A earns 20% more than D
E earns 10% more than A
All of them earn integer amounts less than Rs. 100
To find:
The total amount earned by all five of them put together
Solution:
Let's assume that B earns Rs. x
Then, A earns 20% more than B = Rs. (x + 0.2x) = Rs. 1.2x
Also, A earns 20% more than D, which means D earns Rs. y and A earns Rs. (y + 0.2y) = Rs. 1.2y
Now, C earns 25% more than A, which means C earns Rs. (1.25 * 1.2x) = Rs. 1.5x
And, E earns 10% more than A, which means E earns Rs. (1.1 * 1.2y) = Rs. 1.32y
As per the given condition, all of them earn integer amounts less than Rs. 100
So, we can assume that x, y, 1.2x, 1.2y, 1.5x, and 1.32y are all integers less than Rs. 100
We can now try different values of x and y to see which ones satisfy all the conditions:
Let's assume x = 10 and y = 10
B earns Rs. 10
A earns Rs. 12
D earns Rs. 10
C earns Rs. 15
E earns Rs. 13
The total amount earned by all five of them put together is:
10 + 12 + 10 + 15 + 13 = Rs. 60
Therefore, the correct answer is option 'A'.
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Community Answer
A earns 20% more than B. C earns 25% more than A. A earns 20% more tha...
If B earns X rupees, the earnings of others can be listed as
A =1.2X
B=X
C=1.5X
D=X
E=1.32X
total =6.02X
now its enough to find a multiple of 6.02 from the options
A =1.2X
B=X
C=1.5X
D=X
E=1.32X
total =6.02X
now its enough to find a multiple of 6.02 from the options
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