Question

# A watch sold for $$Rs\ 448$$ gives a profit of only $$12\%$$. Find the profit $$\%$$ if the selling price has been $$Rs\ 512$$.

Solution

## Let cost price of watch be $$Rs.\ x$$Profit $$=Rs.\ \dfrac {12x}{100}$$$$\therefore \$$ Selling price  $$=Rs.\ \left (x+\dfrac {12x}{100}\right) =Rs.\ \dfrac {112x}{100}$$According to the problem$$448=\dfrac {112x}{100}$$$$\therefore \ x=400$$$$\therefore \$$ Cost price of eatch $$=Rs.\ 400$$New Selling price $$=Rs.\ 512$$$$\therefore \$$ Profit $$=Rs.\ (512-400)=Rs.\ 112$$$$\therefore \$$ Profit $$\% =\dfrac {112}{400}\times 100=\boxed {28\%}$$Mathematics

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