The ratio of profit percentage and discount percentage on an article is 4 : 5. And the ratio of the discount percentage and the increase in the price is in the ratio 1 : 2. Then find the profit? If the selling price of the article is ₹ 1620
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Ratio of Marked Price to Cost Price = 5 : 4
Ratio of Discount to Profit=3 : 5
Marked Price - discount = Cost Price + Profit
Equating we get:
5(100- 3p)/100 = 4(100+5p)/100
=> 500 - 15p = 400+ 20p
=> 35p = 100 therefore p = 100/35=20/7
Discount% = 15×20/7 =300/7%
Profit %=20 × 20/7 = 400/7%
Hence Discount % =42.86%
Ratio of Discount to Profit=3 : 5
Marked Price - discount = Cost Price + Profit
Equating we get:
5(100- 3p)/100 = 4(100+5p)/100
=> 500 - 15p = 400+ 20p
=> 35p = 100 therefore p = 100/35=20/7
Discount% = 15×20/7 =300/7%
Profit %=20 × 20/7 = 400/7%
Hence Discount % =42.86%
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