A is 40% less than B, and C is 40% of the sum of A and B.
Posted on 15-12-2022
Ques - A is 40% less than B, and C is 40% of the sum of A and B. The difference between A and B is what percentage of C? (SSC CPO 2019, 11.12.2019 Shift-1)
(a) 60.5%
(b) 64%
(c) 62.5%
(d) 60%
Solution -
Given,
A = B - 40%
C = 40% × (A + B)
Let,
B = 100
A/C
A = 100 - 40
A = 60
C = 40% × (A + B)
C = 40/100 × (60 + 100)
C = 40/100 × (160)
C = 64
Difference b/w A and B = 100 - 60
= 40
The difference between A and B is what percentage of C = (40 /64 * 100)
= 62.5
Hence,
The correct answer is option (c) 62.5%
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