Question

Question No. 8
A salesman starts buying his goods from a
wholesaler at 5% lesser price than usual but
sells at the same selling price he used to. If his
profit increases from x% to (x + 10)% , what is
the value of x?
O 10
O 100
O 90
O 80​

Answer 1

Let the Usual cost price of goods = y

The selling price of goods = SP

Profit =$\frac{SP-CP}{CP}$×100

Given,

x/100 =$\frac{SP-y}{y}$ →Eq(1)

Now the Cost price has become 0.95y

The selling price= SP

Given,

(x+10)/100 =$\frac{SP-0.95y}{0.95y}$→Eq(2)

Taking the value of SP from Eq(1) and substituting in Eq(2) , we get:

0.05xy =4.5y

Therefore, x =90