Question

$A$ sells an article to $B$ for Rs. $45000$ losing $10\%$ in the transaction. $B$ sells it to $C$ at a price which would have given a profit of $10\%$ to $A$. By what percent does $B$ gain ?

• A. $22\%$
• B. $20\%$
• C. $24\%$
• D. $26\%$

Answer 1

Answer: (A)

$22\%$

Let cost price for $A$ is Rs. $x$

Given that Selling price for $A$ $=$ Rs. $45000$ and Loss percentage $=10\%$

We know that $\text{Selling price}=\text{Cost price}-\text{loss}$

$\Rightarrow 45000=x-10\%\text{of}x=x-\frac{x}{10}$

$\Rightarrow 45000=\frac{9x}{10}$

$\Rightarrow x=$ Rs. $50000$

Now, cost price for $B=$ Selling price for $A$ $=$ Rs. $45000$

$B$ gets $10\%$ profit on $A$'s cost price.

Therefore, $\text{Selling price for B}=\text{Cost price for A}+\text{Profit on A's cost price}$

$\Rightarrow$ SP for $B=50000+10\%\text{of}50000=55000$

So, for $B$:

CP $=45000$, SP $=55000$

Hence, $\text{Profit}=$ SP $-$ CP $=55000-45000=$ Rs. $10000$

Therefore, $\text{Profit percentage}=\frac{\text{Profit}\times 100}{CP}=\frac{10000\times 100}{45000}=\frac{1000}{45}=22.22\%=22\%\left(\text{Approx}\right)$