Question

The marke price of an article is rs 18000 . If it is sold at a discount of 20% , the profit made 20% . If it is sold at discount of 12% , then find profit % .​

Answer 1

Given:

Market Price (or) Selling Price = ₹. 18,000/-

PART - I
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Selling Price after 20% discount on original Selling Price = Selling Price - 20% discount on Selling Price = 18000 - (20/100)*18000 = 18000 - 3600 = ₹. 14,400/-

Selling Price = Cost Price*(1 + Profit %)

14400 = Cost Price*(1 + (20/100)(

14400 = Cost Price*(1 + (1/5))

14400 = Cost Price*(6/5)

Cost Price = (14400*5)/6 = ₹. 12,000/-

Cost Price of the article = ₹. 12,000/-

PART - II
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Selling Price after 12% discount on original Selling Price = Selling Price - 12% discount on Selling Price = 18000 - (12/100)*18000 = 18000 - 2160 = ₹. 15,840/-

Selling Price = Cost Price*(1 + Profit %)

15,840 = 12,000*(1 + Profit %)

1 + Profit % = 15840/12000 = 1.32

Profit % = 1.32 - 1 = 0.32

Profit = 0.32 * 100 = 32% ——> Answer