Question

A businessman sold two-third of his stocks at a gain of 20% and the rest at a gain of 14%. Find the gain percentage of a businessman

Answer 1

Answer:

18%

Step-by-step explanation:

20% gain on 2/3 of total

gain = 20 × 2/3 = 40/3 = 13.33%

14% gain on 1/3 of total

gain = 14 × 1/3 = 14/3 = 4.67%

total gain = 13.33 + 4.67 = 18%

total gain percentage is 18%

Answer 2

Answer:

Gain Percentage of a businessman is 18 %.

Step-by-step explanation:

Let x be the Cost Price of stocks.  

then, Cost Price of 2/3rd of stock =  2x/3    

Cost Price of left of the stock .i.e, 1/3 = x/3

Selling Price of stocks = $\frac{120}{100}\times\frac{2x}{3}+\frac{114}{100}\times\frac{x}{3}=\frac{4x}{5}+\frac{19x}{50}=\frac{59x}{50}$

Gain = $\frac{59x}{50}-x=\frac{9x}{50}$

Gain % = $\frac{\frac{9x}{50}}{x}\times100=18$

Therefore, Gain Percentage of a businessman is 18 %.