Venu invested a certain amount in shares. The shares rose by 25% on the first day, fell by 8% on the second day and fell by 10% the next day. The percentage profit or loss made by Venu is:

Correct option is C

Given:

Shares increased by 25%

Then Shares decreased by 8%

Shares further fell by 10%

Formula Used:

Successive percentage =$$x +y + \frac{xy}{100}$$​​

Solution:

Let the value of shares be 100

Then increased value= 100 + 25% of 100 = 125

Then the value of shares is decreased by 8%

New value = 125 - 8% of 125

= 125 - 10 = 115

Furhter decrease in price = 10%

New vlaue = 115 -10%of 115

= 115 - 11.5=103.5

Intital value =100

Final Value = 103.5

Profit = 103.5-100= 3.5

Profit Percentage =$$\frac{3.5}{100} \times 100 = 3.5\%$$​​

Alternative Method:

Successive percentage = $$25 -8 + \frac{(25)(-8)}{100}$$​​

= 17-2

=15%

Now further decrease of 10%

Successive percentage =$$15-10 + \frac{(15)(-10)}{100}$$​​

= 5-1.5

=3.5%