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A shopkeeper loses RS 400 due 20% discount in watch If he gains RS 200 without any discount find the market price of the watch​

User DontRelaX
by
8.2k points

1 Answer

5 votes

Answer: Let's assume the cost price (CP) of the watch (without any discount) is 'x' rupees.

With a 20% discount:

After a 20% discount, the selling price (SP) of the watch is 80% of the cost price (as he loses Rs. 400). We can represent this as:

SP = x - 0.2x = 0.8x

Now, it is given that the shopkeeper gains Rs. 200 without any discount. So, the selling price without any discount is the cost price plus Rs. 200:

SP = x + 200

Equating the two selling prices:

Since both the expressions represent the selling price (with discount and without discount), we can set them equal to each other:

0.8x = x + 200

Solving for 'x':

Subtract 'x' from both sides:

0.8x - x = 200

0.2x = 200

Now, divide both sides by 0.2 to find the value of 'x':

x = 200 / 0.2

x = 1000

So, the cost price (market price) of the watch is Rs. 1000.

User SparkAndShine
by
7.3k points
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