Question

By selling a pen for $\text{Rs.}15$, a man loses one-sixteenth of what it costs him. Find the cost price of one pen.

• A. $\text{Rs.}16$
• B. $\text{Rs.}18$
• C. $\text{Rs.}20$
• D. $\text{Rs.}21$

Answer 1

The correct option is A $\text{Rs.}16$

Let's assume the cost price of the pen is $x$
According to the question, Loss $=\frac{x}{16}$
Cost Price$=$ Selling Price $+$ Loss
Hence,
$15+\frac{x}{16}=x$
$15=x-\frac{x}{16}$
$15=\frac{15x}{16}$
$x=16$
Hence, the cost of $1$ pen is $\text{Rs.}16$