Each of the articles was marked 25% above its cost price and while selling 12% discount was given on it. The cost price of article M is Rs. 500 more than the cost price of article K. If the sum of the selling prices of both articles is Rs. 79750, then find out the cost price of article K and difference between the MRP of both articles.

Solution

The cost price of article M is Rs. 500 more than the cost price of article K. Let’s assume the cost price of article K is Rs. ‘y’. cost price of article M = Rs. (500+y) Each of the articles was marked 25% above its cost price and while selling 12% discount was given on it. If the sum of the selling prices of both articles is Rs. 79750. y of (100+25)% (100-12)% + (500+y) of (100+25)% (100-12)% = 79750 y of 125% of 88% + (500+y) of 125% of 88% = 79750 yx1.25x0.88 + (500+y)x1.25x0.88 = 79750 1.25x0.88[y + (500+y)] = 79750 1.1[y + (500+y)] = 79750 [y + (500+y)] = 72500 (500+2y) = 72500 2y = 72500-500 = 72000 Cost price of article K = y = Rs. 36000 Difference between the MRP of both articles = (500+y) of (100+25)% - y of (100+25)% = (500+y) of 125% - y of 125% = (500+y) x 1.25 - y x 1.25 = 1.25[(500+y) - y] = 1.25x500 = 625