Q1 of 90 Page 133

A dealer marks his goods 35% above the cost price and then allows a 15% discount on it. What is the cost price of an article on which he gains Rs.88.50?

Let’s suppose the cost price of the article = Rs. x


Dealer mark 35% above the cost price so,



He gave 15% discount on mark price so



Selling price = Mark price – Discount



According to the question Dealer gain Rs. 88.50


So,


Gain = Sale price – Cost price



(x + 0.35 x) – 0.15(x + 0.35 x) – x = 88.50


1.35 x – 0.15 × 1.35 x – x = 88.50


0.1475 x = 88.50


x = 600


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