Question

A bussineman sold two -thirds his stock at a gain of 20% and rest at a gain of 14%. Find the gain percentage of the bussinesman

Answer 1

Answer:

18%

Step-by-step explanation:

Let say  Items in stock  =  3x

& Let say Cost Price per item   = C  Rs

Total Cost Price = 3x * C  = 3Cx  Rs

(2/3) of 3x  = 2x

Selling Price = C + (20/100)C = 1.2C

Selling Price of 2x items =  2x * 1.2C  = 2.4Cx  Rs

Rest items = 3x - 2x = x

Selling Price = C + (14/100)C = 1.14C

Selling Price of x items =  x * 1.14C  = 1.14Cx  Rs

Total Selling Price = 2.4Cx + 1.14Cx = 3.54Cx  Rs

Gain = 3.54Cx - 3Cx =  0.54Cx  Rs

Gain % =  (0.54Cx / 3Cx) * 100

= 18 %

the gain percentage of the bussinesman = 18 %