1. A cycle merchant allows 25% discount on the marked price of the cycles and still makes a profit of 20%. If he gains rs. 360 over the sale of one cycle, find the marked price of the cycle.
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By: anil on 05 May 2019 02.24 am
Let marked price of the article = Rs. $$100x$$ Discount % = 25% => Selling price = $$100x-(frac{25}{100} imes100x)$$
= $$100x-25x=Rs.$$ $$75x$$ Profit % = 20% => Cost price = $$frac{75x}{(100+20)}{} imes100$$ = $$frac{75x}{6} imes5=Rs.$$ $$62.5x$$ According to ques, => Profit = $$75x-62.5x=360$$ => $$x=frac{360}{12.5}=28.8$$ $$ herefore$$ Marked price of the cycle = $$100 imes28.8=Rs.$$ $$2880$$ => Ans - (C)
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= $$100x-25x=Rs.$$ $$75x$$ Profit % = 20% => Cost price = $$frac{75x}{(100+20)}{} imes100$$ = $$frac{75x}{6} imes5=Rs.$$ $$62.5x$$ According to ques, => Profit = $$75x-62.5x=360$$ => $$x=frac{360}{12.5}=28.8$$ $$ herefore$$ Marked price of the cycle = $$100 imes28.8=Rs.$$ $$2880$$ => Ans - (C)