Question 73

Selling price of first article is ₹ 470 and cost price of second article is ₹ 470. If there is a loss of 20% on first article and profit of 20% on second article, then what will be the overall profit or loss percentage?

Solution

Selling Price of first article = Rs.470
Loss = 20%
Cost Price of first article = $$Rs.470\times\dfrac{100}{80} = Rs.587.5$$
Cost Price of second article = Rs.470
Profit = 20%
Selling Price of second article = $$Rs.470\times\dfrac{120}{100} = Rs.564$$
Overall Cost Price of both articles = Rs.587.5+Rs.470 = Rs.1057.5
Overall Selling Price of both articles = Rs.470+Rs.564 = Rs.1034
Therefore, Loss percent = $$\dfrac{1057.5-1034}{1057.5}\times100 = \dfrac{23.5}{1057.5}\times100 = 2.22$$%


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