Question
Ratio of cost price of article ‘R’ and article
‘S’ is 6:7, respectively. Profit percentage earned on selling article ‘R’ is same as loss percentage incurred on selling article ‘S’. Total selling price of both the articles is Rs. 25200. If average of cost price of both the articles is Rs. 13000, then find the difference between their selling prices.Solution
Total cost price of articles ‘R’ and ‘S’ together
= 13000 × 2 = Rs. 26000 Cost price of article ‘R’
= 6/13 × 26000 = Rs. 12000 Cost price of article ‘S’
= 26000 – 12000 = Rs. 14000 Let profit percentage earned on selling article ‘R’ is x%. So, 12000 × (1 + x/100) + 14000 × (1 – x/100) = 25200 Or, 12000 + 120x + 14000 – 140x = 25200 Or, 26000 – 20x = 25200 Or, 20x = 800 Or, x = 40 So, desired difference
= 1.40 × 12000 – 0.60 × 14000
= 16800 – 8400
= Rs. 8400
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