Ratio between marked price of article A to article B is 5:6. Shopkeeper allowed d% discount on article ‘A’ and (d + 16)% discount on article ‘B’, so selling price of both articles become equal. If shopkeeper made a profit of 25% on article A and 35% on article B and profit made on article B is Rs. 1224 more than that of article A, then find the cost price of article ‘A’ and article ‘B’ respectively?

Solution

Let marked price of article A and B be 500x and 600x respectively.   According to question,    500x × (100 – d)/100 = 600x × (100 – d − 16)/100     500 – 5d = 600 – 6d - 84    ⇒ d = 16%    Cost price of article A = 500x × (84/100) × (100/125) = Rs 336x   Cost price of article B = 600x × (65/100) × (100/130) = Rs 300x     According to question,    (600x × 70/100 – 300x) – (500x × 84/100 – 336x) = 1224       120x – 84x = 1224      ⇒ x = 34    Cost price of article A = 34 × 336 = Rs. 11424     Cost price of article B = 34 × 300 = Rs. 10200