Question
Ratio of cost price of article ‘A’ and article
‘B’ is 3:5, respectively. Profit percentage earned on selling article ‘A’ is same as loss percentage incurred on selling article ‘B’. Total selling price of both the articles is Rs. 13600. If average of cost price of both the articles is Rs. 8000, then find the difference between their selling prices.Solution
Total cost price of articles ‘A’ and ‘B’ together
= 8000 × 2 = Rs. 16000 Cost price of article ‘A’
= 3/8 × 16000 = Rs. 6000 Cost price of article ‘B’
= 16000 – 6000 = Rs. 10000 Let profit percentage earned on selling article ‘A’ is x%. So, 6000 × (1 + x/100) + 10000 × (1 – x/100) = 13600 Or, 6000 + 60x + 10000 – 100x = 13600 Or, 16000 – 40x = 13600 Or, 40x = 2400 Or, x = 60 So, desired difference = 1.60 × 6000 – 0.40 × 10000 = 9600 – 4000 = Rs. 5600
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