1. A shopkeeper bought two units of an article at the same price. He sold one unit at a profit of 30%. If on selling the second unit, he incurred a loss which was one-third of the profit earned on the first unit, what was his overall profit percent ?
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By: anil on 05 May 2019 01.21 am
Let cost price of each unit = Rs. $$100x$$ => C.P. of both units = $$2 imes 100x = 200x$$ Profit % on 1st unit = 30% => S.P. of one unit = $$frac{130}{100} imes 100x = 130x$$ => Profit earned on first unit = Rs. $$(130x - 100x) = 30x$$ Now, loss incurred is one-third of the profit => Loss incurred on second unit = Rs. $$frac{30x}{3} = 10x$$ => S.P. of second unit = Rs. $$(100x - 10x) = 90x$$ Thus, total S.P. of both units = $$130x + 90x = 220x$$ $$ herefore$$ Overall profit % = $$frac{220x - 200x}{200x} imes 100$$ = $$frac{20}{2} = 10 \%$$
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