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Total Rs.700 are divided among 3 persons (A, B, and C). A gets 1/2 of B and B gets 1/2 of C. How much C have
- a)400
- b)100
- c)200
- d)300
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Total Rs.700 are divided among 3 persons (A, B, and C). A gets 1/2 of ...
A = 1/2B => A : B = 1 : 2
B = 1/2C => B : C = 1 : 2
A : B : C = 1 : 2 : 4
C's share = 4/7 x 700
= RS. 400
This question is part of UPSC exam. View all Quant courses
Most Upvoted Answer
Total Rs.700 are divided among 3 persons (A, B, and C). A gets 1/2 of ...
Given:
Total money = Rs. 700
A gets 1/2 of B
B gets 1/2 of C
To find:
Amount of money C has
Solution:
Let's assume the amount of money C has to be x.
Then, according to the given conditions:
B = 2A (as A gets 1/2 of B)
C = 2B (as B gets 1/2 of C)
C = 2(2A) = 4A
Now, we know that the total money is divided among A, B, and C.
So, A + B + C = 700
Substituting the values of B and C in terms of A, we get:
A + 2A + 4A = 700
7A = 700
A = 100
As we know that B = 2A, we get:
B = 2 x 100 = 200
And, C = 4A = 4 x 100 = 400
Therefore, the amount of money C has is Rs. 400.
Hence, the correct answer is option A.
Total money = Rs. 700
A gets 1/2 of B
B gets 1/2 of C
To find:
Amount of money C has
Solution:
Let's assume the amount of money C has to be x.
Then, according to the given conditions:
B = 2A (as A gets 1/2 of B)
C = 2B (as B gets 1/2 of C)
C = 2(2A) = 4A
Now, we know that the total money is divided among A, B, and C.
So, A + B + C = 700
Substituting the values of B and C in terms of A, we get:
A + 2A + 4A = 700
7A = 700
A = 100
As we know that B = 2A, we get:
B = 2 x 100 = 200
And, C = 4A = 4 x 100 = 400
Therefore, the amount of money C has is Rs. 400.
Hence, the correct answer is option A.
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Total Rs.700 are divided among 3 persons (A, B, and C). A gets 1/2 of B and B gets 1/2 of C. How much C havea)400b)100c)200d)300Correct answer is option 'A'. Can you explain this answer?
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