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Aptitude · Q276

Number System

Competitive Exams · Aptitude · question 276

Q276

A and B have together three times what B and C have, while A, B, C together have thirty rupees more than that of A. If B has 5 times that of C, then A has :

A.
Rs. 60
B.
Rs. 65
Answer
C.
Rs. 75
D.
Rs. 45

Answer: Option B

Solution

Answer: Option B
Solution:
A + B = 3(B + C)
A + B = 3B + 3C
A = 2B + 3C.....(i)
A + B + C = A + 30
B + C = 30.....(ii)
B = 5C (given)
5C + C = 30
C = Rs. 5
B = 30 - 5 = Rs. 25
A + 25 = 3(25 + 5)
A = 90 - 25
A = Rs. 65