Marked price is 1.45 times of cost price. Selling price is Rs1500. The profit is 25%. Find the discount percentage.(a) 14%(b) 15%(c) 16%
Question
Marked price is 1.45 times of cost price. Selling price is Rs1500. The profit is 25%. Find the discount percentage.(a) 14%(b) 15%(c) 16%
Solution
Sure, let's solve this step by step:
Step 1: Given that the profit is 25%, we can find the cost price. Since the selling price is Rs 1500 and this is 125% of the cost price (100% cost price + 25% profit), we can set up the equation:
1.25(Cost Price) = Rs 1500
Solving for Cost Price gives us Rs 1200.
Step 2: We know that the marked price is 1.45 times the cost price. So, the marked price is:
1.45(Cost Price) = 1.45 * Rs 1200 = Rs 1740
Step 3: The discount is the difference between the marked price and the selling price:
Discount = Marked Price - Selling Price = Rs 1740 - Rs 1500 = Rs 240
Step 4: The discount percentage is the discount divided by the marked price, times 100:
Discount Percentage = (Discount / Marked Price) * 100 = (Rs 240 / Rs 1740) * 100 = 13.79%
So, the discount percentage is approximately 14%, which corresponds to option (a).
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