Question
Akash bought a sofa for Rs. 12500. After one year he
sold it to Deepak at 12% less of his cost price. Deepak spends extra Rs. 500 for its repair. And offered sofa to Sujit for Rs.X. Sujit requested to get a discount of 20% on that price. But Deepak gave him two successive discounts of 8% and 12% instead of 20%.By this Deepak got Rs. 300 more from Sujit. What is the profit % of Deepak?Solution
Let the SP of sofa be Rs. x which is given to Sujit. x * (92/100 * 88/100 – 80/100) = 300 x * 0.0096 = 300 x = 31250 Now Sujit purchased for 31250 * 92/100 * 88/100 = 25300 Deepak purchased sopha = 12500 * 88/100 + 500 = 11000 + 500 = 11500 Profit% = (25300 – 11500) x 100/11500 = 120%
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