Question

John sold his watch for Rs. 301 and lost 14 % on it. Find the cost price of the watch.

Answer 1

Let the cost price of the watch $=\text{Rs.}x$
The loss on it $=14$% of $x$ $=\frac{14}{100}\times x=\frac{14x}{100}$
Selling price of the watch $=$ Cost price $-$ Loss
$\Rightarrow$ $301=x-\frac{14x}{100}$
$301=\frac{100x-14x}{100}$
$301=\frac{86x}{100}$
$\frac{301\times 100}{86}=x$
$350=x$
Therefore the cost price of the watch $=\text{Rs.}350$