Question

The profit percentage on three articles A, B and C is 10%, 20%, and 25% and the ratio of the cost price is 1: 2: 4. Also the ratio of number of articles sold of A, B and C is 2: 5: 2, then overall profit percentage is:
A.18.5
B.0.21
C.0.23
D.0.27

Answer 1

Ratio of Cost Price is given 1:2:4.
Let cost of,
A = x
B = 2x
C = 4x

Ratio of Articles sold is given as 2:5:2.
Let number of Articles sold be,
A = 2y
B = 5y
C = 2y

Total cost (A+B+C) = (2xy+10xy+8xy)
= 20xy

Profit of A = 2xy×10/100= 0.2xy
Profit of B = 10xy×20/100= 2xy
Profit of C = 8xy×25/100= 2xy

So, Total profit = 4.2xy
% Profit = (4.2xy×100)/20xy
= 21% = 0.21

HENCE, ANSWER IN OPTION B.