Question

The selling price of $9$ articles is equal to the cost price of $15$ articles. In this transaction, there is a profit of $66\frac{2}{3}\%$.

• A. True
• B. False

Answer 1

The correct option is A True

The given statement is true.

Let, Selling price of $9$ articles $=$ Cost price of $15$ articles $=x$

So,

S.P of $1$ article $=\frac{x}{9}$

And C.P of $1$ article $=\frac{x}{15}$

hence,

Profit $=\frac{\frac{x}{9}-\frac{x}{15}}{\frac{x}{15}}\times 100=\frac{6}{9\times 15}\times 100$

$=66\frac{2}{3}\%$