Question
The ratio of cost price of articles 'G' and 'H' is 9:11,
respectively. If articles 'G' and 'H' are sold at a profit of 50% and 30%, respectively, then the difference between their selling prices is Rs. 110. Find the average of cost price of articles 'G' and 'H' together.Solution
ATQ, Let the cost price of articles 'G' and 'H' be Rs. '9x' and Rs. '11x', respectively. Selling price of article 'G' = 9x × 1.5 = Rs. '13.5x' Selling price of article 'H' = 11x × 1.3 = Rs. '14.3x' According to the question, 14.3x - 13.5x = 110 0.8x = 110 x = 110 ÷ 0.8 x = 137.5 So, average of cost price of articles 'G' and 'H' = (9x + 11x) ÷ 2 = 10x = 10 × 137.5 = Rs.1375
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