A is 75% less than B and C is 75% of the difference between A and B

A is 75% less than B and C is 75% of the difference between A and B
Posted on 16-12-2022

Ques - A is 75% less than B and C is 75% of the difference between A and B, C is what percentage more than A? (SSC CPO 2019, 13.12.2019 Shift-1)

(a) 125

(b) 100

(c) 75

(d) 90

Solution -  Let,

B = 100

A = B - 75% of B

A = 100 - (75/100) × 100

A = 25

C = 75% of (B - A)

C = (75/100) × (100 - 25) 

C = (75/100) × 75 

C = 56.25

C is more than A in percentage = [(C - A)/25] × 100

                                             = (56.25 - 25) × 4

                                             = 31.25 × 4

                                             = 125

Hence,

The correct option is (a)125.         

Thank You