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The cost of C is thrice that of B and the cost of B is half that of A. If the cost of each type increases by 50%, then the overall percentage increase in the sum of the cost of A, B and C.
  • a)
    50%
  • b)
    120%
  • c)
    80%
  • d)
    100%
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The cost of C is thrice that of B and the cost of B is half that of A....
Topper's approach:
Let the cost of A, B and C be 20, 10, 30.
According to the question,
New cost will be 30, 15, 45 after increasing 50% each.
Total percentage increase of their sum = [(90 – 60)/60] × 100 = 50%
Detailed solution:
Let a, b and c be the respective costs of A, B and C respectively.
According to the question,
b = a/2 and c = 3b
So, c = 3a/2
As the cost of A, B and C increases by 50%
New costs of A, B and C = 3a/2, 3a/4, 9a/4 respectively
Thus the total percentage increase
= (((3a/2 + 3a/4 + 9a/4) – (a + a/2 + 3a/2))/(a + a/2 + 3a/2)) × 100
= 50%
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The cost of C is thrice that of B and the cost of B is half that of A. If the cost of each type increases by 50%, then the overall percentage increase in the sum of the cost of A, B and C.a)50%b)120%c)80%d)100%Correct answer is option 'A'. Can you explain this answer?
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