If A is 48% more than B and C is 60% less than the sum of A and B,
Posted on 16-12-2022
Ques - If A is 48% more than B and C is 60% less than the sum of A and B, then A is what percentage more than C? (Correct to one decimal place.)
(SSC CPO 2019, 11.12.2019 Shift-2)
(a) 50.8
(b) 49.2
(c) 50.2
(d) 49.8
Solution - Let,
B = 100
A = B + 48% × B
A = 100 + (48/100×100)
A = 148
C = (A + B) - 60% (A + B)
C = (148 + 100) - 60/100 (148 + 100)
C = 248 - (0.6 × 248)
C = 248 - 148.8
C = 99.2
Then,
A is more than C in percentage = [(A - C)/C × 100]
= [(148 - 99.2)/99.2 × 100]
= (48.8/99.2) × 100
= 49.2
Hence, The correct option is (b) 49.2
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