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%

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).