The profit percentage on three articles A, B and C is 10%, 20% and 25%

Ques - 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 the overall profit percentage is:

(a) 18.5%

(b) 21%

(c) 75%

(d) none of these

Solution - 

The ratio of CP of A, B and C = 1 : 2 : 4

Let,

CP of A = 1x

CP of B = 2x

CP of c = 4x

The ratio of number of articles sold of A, B and C is 2 : 5 :2.

Number of article sold by A = 2y

Number of article sold by B = 5y

Number of article sold by C = 2y

So,

The total cost price of A, B and C = 2xy + 10xy + 8xy

= 20xy

The profit percentage on three articles A, B and C is 10%, 20% and 25%

Profit of A = 2xy (10/100)

= 0.2xy

Profit of B = 10xy (20/100)

= 2xy

Profit of C = 8xy (25/100)

= 2xy

Total profit of A, B and C = 0.2xy + 2xy + 2xy

= 4.2xy

SO,

Profit percentage = (Total profit / Total CP) × 100

= (4.2xy / 20xy) × 100

= 21%

Hence, The correct answer is option (b) 21%.

Thank You