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An amount is to be divided between A, B and C in the ratio 2:3:5 respectively. If C gives 200 of his share to B the ratio among A, B and C becomes 3:5:4. What is the total sum?
- a)5000
- b)6000
- c)7000
- d)8000
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
An amount is to be divided between A, B and C in the ratio 2:3:5 respe...
s2x, 3x + 200, 5x – 200
2x/(3x + 200) = 3/5, we will get x = 600, so total amount = 10*600 = 6000
Most Upvoted Answer
An amount is to be divided between A, B and C in the ratio 2:3:5 respe...
Given Information:
Amount is to be divided between A, B and C in the ratio 2:3:5 respectively.
If C gives 200 of his share to B the ratio among A, B and C becomes 3:5:4.
To Find: Total Sum
Explanation:
Let the total sum be x.
According to the question, the amount is divided in the ratio 2:3:5, so
A's share = (2/10)x = (1/5)x
B's share = (3/10)x
C's share = (5/10)x = (1/2)x
Now, C gives 200 of his share to B.
So, B's share becomes = (3/10)x + 200
And, C's share becomes = (1/2)x - 200
Now, the ratio among A, B and C becomes 3:5:4.
So, we can write the equation as:
A : B : C = 3 : 5 : 4
(1/5)x : (3/10)x + 200 : (1/2)x - 200 = 3 : 5 : 4
On solving the above equation, we get x = 6000
Therefore, the total sum is 6000.
Hence, the correct option is (b) 6000.
Amount is to be divided between A, B and C in the ratio 2:3:5 respectively.
If C gives 200 of his share to B the ratio among A, B and C becomes 3:5:4.
To Find: Total Sum
Explanation:
Let the total sum be x.
According to the question, the amount is divided in the ratio 2:3:5, so
A's share = (2/10)x = (1/5)x
B's share = (3/10)x
C's share = (5/10)x = (1/2)x
Now, C gives 200 of his share to B.
So, B's share becomes = (3/10)x + 200
And, C's share becomes = (1/2)x - 200
Now, the ratio among A, B and C becomes 3:5:4.
So, we can write the equation as:
A : B : C = 3 : 5 : 4
(1/5)x : (3/10)x + 200 : (1/2)x - 200 = 3 : 5 : 4
On solving the above equation, we get x = 6000
Therefore, the total sum is 6000.
Hence, the correct option is (b) 6000.
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