The marked price of a watch is 30% above the cost price. When it is sold allowing 20% discount on it, there is a gain of Rs 150. Find the marked price of watch.

The marked price =  Rs 4,475.

Step-by-step explanation:

Let the marked price of the watch = x

Let the cost price of the watch = y

The given information are;

The marked price of the watch = 30% above the cost price

The discount when it was sold = 20%

The gain when it was sold = Rs 150

Therefore, we have marked price = y + 30/100×y = y + 0.3·y = 1.3·y

The selling price with 20% discount is therefore, 1.3·y - 0.2×1.3·y

The selling price = 1.04·y

The gain = Selling price - cost price = 1.04·y - y = 0.04·y

Rs 150= 0.04·y

y = Rs 150/0.04 = Rs 3,750

Therefore, the marked price = 1.3×y = 1.3×3,750 = Rs 4,875

The marked price =  Rs 4,475.

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step-by-step explanation: