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?

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

Step 2: Therefore, the selling price of the watch (after profit) will be the cost price plus the profit amount, which is 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 amount is Rs. 784 80% of. We can set up the equation 784 = 0.80 * Marked Price.

Step 5: Solving for Marked Price, we get Marked Price = 784 / 0.80 = Rs. 980.

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

Step 1: First, we need to calculate the selling price of the watch. The merchant earns a profit of 40% on the cost price of Rs. 560. So, the selling price will be the cost price plus the profit.

Profit = 40% of Rs. 560 = 0.40 * 560 = Rs. 224

Selling Price = Cost Price + Profit = Rs. 560 + Rs. 224 = Rs. 784

Step 2: Now, we know that the selling price is obtained after giving a discount of 20% on the marked price. Let's denote the marked price as 'x'. So, we can say that 80% (100% - 20%) of the marked price is equal to the selling price.

0.80 * x = Rs. 784

Step 3: Now, we just need to solve the above equation for 'x' to find the marked price.

x = Rs. 784 / 0.80 = Rs. 980

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

Step 1: Calculate the selling price of the watch

The merchant earns a profit of 40% on the cost price of Rs. 560. So, the selling price of the watch is 140% of the cost price.

Selling Price = 140/100 * 560 = Rs. 784

Step 2: Calculate the marked price of the watch

The merchant allows a discount of 20% on the marked price. So, the selling price is 80% of the marked price.

Let's denote the marked price as 'x'. Therefore, 80% of 'x' is equal to the selling price.

80/100 * x = 784

Solving for 'x' gives us:

x = 784 * 100/80 = Rs. 980

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

Step 1: Calculate the selling price of the watch

The merchant earns a profit of 40% on the cost price of Rs. 560. So, the selling price of the watch is 140% of the cost price.

Selling Price = 140/100 * 560 = Rs. 784

Step 2: Calculate the marked price of the watch

The merchant allows a discount of 20% on the marked price. So, the selling price is 80% of the marked price.

Let's denote the marked price as 'x'. Therefore, 80% of 'x' is equal to the selling price.

80/100 * x = 784

Solving for 'x', we get:

x = 784 * 100/80 = Rs. 980

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

Step 1: Calculate the selling price of the watch

The merchant earns a profit of 40% on the cost price of Rs. 560.

So, the profit = 40/100 * 560 = Rs. 224

Therefore, the selling price = cost price + profit = 560 + 224 = Rs. 784

Step 2: Calculate the marked price of the watch

The merchant allows a discount of 20% on the marked price. This means that the selling price is 80% of the marked price.

So, if 80% of the marked price = Rs. 784, then 100% of the marked price (which is the actual marked price) = 784 / 80 * 100 = Rs. 980

Therefore, 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 will be 40% of Rs. 560.

Profit = (40/100) * 560 = Rs. 224

Step 2: The selling price of the watch will be the cost price plus the profit.

Selling Price = Cost Price + Profit = Rs. 560 + Rs. 224 = Rs. 784

Step 3: The selling price is after a discount of 20% on the marked price. So, the selling price is 80% of the marked price.

Let's denote the marked price as 'x'.

So, 80% of 'x' = Selling Price

(80/100) * x = Rs. 784

Step 4: Solve the above equation to find the value of 'x' which is the marked price of the watch.

x = Rs. 784 * (100/80) = Rs. 980

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