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:

Option A):
21%
Option B):
27%
Option C):
23%
Option D):
18.5

Correct Answer is Option A):
21%

Explanation:
Ratio of CP given as 1:2:4.
Let cost of,
A = x
B = 2x
C = 4x
Ratio of Number of sell is given as 2:5:2.
Let number of items sold be,
A = 2y
B = 5y
C = 2y
Total cost (A+B+C),
= (2xy+10xy+8xy)
= 20xy
Profit of A = 0.2xy
Profit of B = 2xy
Profit of C = 2xy
Total profit = 4.2xy
% Profit = (4.2xy*100)/20xy = 21%.