Discussion Forum : True Discount
Question -
Anand marks up the price of an article by 50% and then allows a discount of 20% and sells it to Balaji. Balaji sells it for Rs.20 more than what he purchased for, this S.P is 30% more than the original C.P of the article. Then Balaji's profit % is
Answer: Option C
Answer: (c)For Anand,Cost price = Rs.xMarked price = Rs.$3/2$xSelling price= ${3x}/2 × 80/100$ = Rs.${6x}/5$For Balaji,Cost price = Rs.${6x}/5$Selling price = Rs.$({6x}/5 + 20)$${6x}/5 + 20 = {x × 130}/100$${13x}/10 - {6x}/5 = 20$${13x - 12x}/10 = 20$$x/10$ = 20 ⇒ x = Rs.200Required gain percent= $20/{{6x}/5} × 100$= ${20 × 5 × 100}/{6 × 200} = 25/3 =8.33%$
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Answer: (c)For Anand,Cost price = Rs.xMarked price = Rs.$3/2$xSelling price= ${3x}/2 × 80/100$ = Rs.${6x}/5$For Balaji,Cost price = Rs.${6x}/5$Selling price = Rs.$({6x}/5 + 20)$${6x}/5 + 20 = {x × 130}/100$${13x}/10 - {6x}/5 = 20$${13x - 12x}/10 = 20$$x/10$ = 20 ⇒ x = Rs.200Required gain percent= $20/{{6x}/5} × 100$= ${20 × 5 × 100}/{6 × 200} = 25/3 =8.33%$
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