Question

The selling price of 10 pencils equal to the cost of 11 pencils. What is the profit percent?​

Answer 1

Answer:

Profit per cent = (Profit*100)/CP = (1*100/10) = 10% Ans.

Step-by-step explanation:

SP of 10 pencils = CP of 11 pencils

Let CP of each pencil be rs.1

So, CP of 10 pencils = Rs.10

SP of 10 pencils = Rs.11

SP is greater than CP

So, there is a profit.

Profit=11-10=rs.1

Profit per cent = (Profit*100)/CP = (1*100/10) = 10%  Ans.

Answer 2

Answer:

9.1%

Step-by-step explanation:

Since 10 pencils were sold equal to the cost of 11, there has been profit.

We know that, Profit = SP - CP

But we do know that 10 (SP) = 11 (CP)

So the ratio of SP : CP = 10 : 11.

And the formula for profit % = Profit / CP X 100.

Assuming that the price of each pencil is the same,

We get, profit as x which is the cost of 1 pencil.

We get, CP as 11x

We get SP as 10x

Substituting, we get =>   $\frac{x}{11x} (100)$

Cancelling x, we get 100/11

Simplifying 100/11, we get 9.090909 (or) 9.1%