Question
Ratio of cost price of article ‘M’ and article
‘N’ is 5:6, respectively. Profit percentage earned on selling article ‘M’ is same as loss percentage incurred on selling article ‘N’. Total selling price of both the articles is Rs. 30600. If average of cost price of both the articles is Rs. 16500, then find the difference between their selling prices.Solution
Total cost price of articles ‘M’ and ‘N’ together
= 16500 × 2 = Rs. 33000 Cost price of article ‘M’
= 5/11 × 33000 = Rs. 15000 Cost price of article ‘N’
= 33000 – 15000 = Rs. 18000 Let profit percentage earned on selling article ‘M’ is x%. So, 15000 × (1 + x/100) + 18000 × (1 – x/100) = 30600 Or, 15000 + 150x + 18000 – 180x = 30600 Or, 33000 – 30x = 30600 Or, 30x = 2400 Or, x = 80 So, desired difference
= 1.80 × 15000 – 0.20 × 18000
= 27000 – 3600
= Rs. 23400
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