A is 40% more than B and B is 60% less than C. If C is 60% more than D

GovtVacancy.Net
Posted on 16-12-2022

Ques - A is 40% more than B and B is 60% less than C. If C is 60% more than D, then which of the following is true?(SSC CPO 2019, 12.12.2019 Shift-1)

(a) C is 60% more than B.

(b) B is 36% less than D.

(C) D is 4% more than A.

(d) A is 54% less than C.

Solution - Let,

D = 100

C = D + 60% × D

C = 100 + (60/100 × 100)

C = 160

B = C - 60% × C

B = 160 - (60/100 × 160)

B = 64 

A = B + 40% × B

A = 64 + (40/100 × 64)

A = 89.6 

Suppose,

B is less than D = [(D - B)/100 × 100]

                       = [100 - 64]

                       = 36

Therefore,

The correct answer is option (b) B is 36% less than D.

Thank You

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