Question

The cost price of $10$ articles is equal to the selling price of $9$ articles. Find profit percent.

Answer 1

Given that the CP of $10$ articles is equal to the SP of $9$ articles.

Let the CP of $1$ article $=Rs.1$

Then the CP of $10$ articles $=1\times 10=Rs.10$

Since, given that

SP of $9$ articles $=$ CP of $10$ articles

SP of $9$ articles $=Rs.10$

Now we calculate the CP of $9$ articles.

CP of $9$ articles $=1\times 9=Rs.9$

Thus,

Profit made on the selling of 9 articles $=$ SP of $9$ articles $-$ CP of $9$ articles

Profit made on the selling of 9 articles $=Rs.10-9=Rs.1$

Profit or, Gain $\%$ $=\frac{\text{Profit}}{\text{Cost Price}}\times 100\%$

Gain $\%=\frac{1}{9}\times 100\%$

Gain $\%=11.11\%$