Question

Rajeshwar bought $16$ dozen ball point pens and sold them by and by. Due to a calculation mistake in fixing selling price he lost an amount equal to SP of $4$ dozen pens. Find the loss percent. Find the SP of one dozen pens, if he purchased these $16$ dozen pens for Rs. $240$

• A. Rs. $18$
• B. Rs. $10$
• C. Rs. $12$
• D. Rs. $14$

Answer 1

Answer: (C)

Rs. $12$

Let the S.P. of one dozen pens be Rs. $x$.

Then S.P. of $16$ dozen pens $=$ Rs. $16x$, Loss $=$ S.P. of $4$ dozen pens $=$ Rs. $4x$
$\therefore$ C.P. $=$ S.P. $+$ Loss $=$ Rs. $16x+$ Rs. $4x=$ Rs. $20x$
$\therefore$ Loss per cent $=(\frac{4x}{20x}\times 100)=20$
C.P. of $16$ dozen pens $=$ Rs. $240$, Loss $=20\%$

$\therefore$ $\frac{240\times 80}{100}=$ Rs. $192$

$\therefore$ S.P. of $1$ dozen pens $=$ Rs. $\frac{192}{16}$ $=$ Rs. $12$