Question
Cost price of an article is Rs. (6p + 240). It is marked
50% above its cost price and sold after allowing a discount of 'k%'. If the profit earned is (k - 20) %, then which of the following can be calculated using the provided information? I. Selling price of the article. II. Discount percentage offered. III. Profit earned (in Rs) on selling the article.Solution
Marked price of article = 1.5 × (6p + 240)
Selling price of article = 1.5 × (6p + 240) × [(100 - k) ÷ 100]
Also, selling price of article = [(100 + k - 20) ÷ 100] × (6p + 240)
So,
1.5 × (100 - k) = k + 80
150 - 1.5k = k + 80
2.5k = 70
k = 28
Value of 'p' cannot be determined.
So, Cost price, selling price, marked price and profit earned on article cannot be determined.
Discount percentage = 28%
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