Question
Ramesh sets the price of an item
at 36% above its cost price. If he raises the discount offered from 12% to 18%, his profit decreases by ₹61.20. What will be Ramesh's profit if he provides a 20% discount instead?Solution
ATQ, Let cost price of the item be Rs. 100x Marked price of the item = 1.36 × 100x = 136x Selling price of the item after a discount of 12% = 0.88 × 136x = Rs. 119.68x Selling price of the item after a discount of 18% = 0.82 × 136x = Rs. 111.52x According to question, 119.68x – 111.52x = 61.2 8.16x = 61.2 x = 7.5 Cost price of the item = Rs. 750 Marked price of the item = 136 × 7.5 = Rs. 1020 Selling price after 20% of discount = 0.8 × 1020 = Rs. 816 Desired profit = 816 – 750 = Rs. 66
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