A merchant purchases a watch for Rs. 560 and fixes its marked price in such a way that even after allowing a discount of 20%, he earns a profit of 40%. What is the marked price (in Rs) of the watch?600980660750None

Step 1: The merchant earns a profit of 40% on the cost price of Rs. 560. So, the selling price of the watch will be Rs. 560 + 40% of Rs. 560 = Rs. 560 + Rs. 224 = Rs. 784.

Step 2: This selling price is after allowing a discount of 20% on the marked price. So, Rs. 784 is 80% of the marked price.

Step 3: Let's denote the marked price as 'x'. So, we can set up the equation 80/100 * x = 784.

Step 4: Solving this equation for 'x' gives us x = 784 * 100/80 = Rs. 980.

So, the marked price of the watch is Rs. 980.

Step 1: The merchant earns a profit of 40% on the cost price of Rs. 560. So, the selling price of the watch will be Rs. 560 + 40% of Rs. 560 = Rs. 560 + Rs. 224 = Rs. 784.

Step 2: This selling price is after allowing a discount of 20% on the marked price. So, if the marked price is 100%, the selling price is 80% (because 100% - 20% discount = 80%).

Step 3: Therefore, if Rs. 784 is 80% of the marked price, we can find the 100% value (the marked price) by dividing Rs. 784 by 80 and then multiplying by 100.

Step 4: The marked price = (784 / 80) * 100 = Rs. 980.

So, the marked price of the watch is Rs. 980.

Step 1: The merchant earns a profit of 40% on the cost price of Rs. 560. So, the profit amount is 40% of 560 = Rs. 224.

Step 2: Therefore, the selling price of the watch (after profit) is cost price + profit = Rs. 560 + Rs. 224 = Rs. 784.

Step 3: This selling price is after a discount of 20% on the marked price. So, Rs. 784 is 80% of the marked price (because 100% - 20% discount = 80%).

Step 4: To find the marked price, we need to calculate what 100% would be. If 80% is Rs. 784, then 100% (the marked price) is (784 / 80) * 100 = Rs. 980.

So, the marked price of the watch is Rs. 980.