## shopkeeper purchases the goods of Rs 2000 at 20% discount.if he sold at Rs 600 less than its marked price.Find its profit or loss percentage

Question

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## Answers ( )

Answer:5% loss

Step-by-step explanation:2000 is the cost price of the shopkeeper. This is after a 20% discount, so the before-discount price would be:

20% reduced of what number is 2000?

We let that price be x, so we can write an equation and solve:

x – 20% of x = 2000

Note: 20% = 20/100 = 0.2

So,

x – 0.2x = 2000

0.8x = 2000

x = 2000/0.8

x = 2500

Now, if he were to sell for 600 less, that would be:

2500 – 600 = 1900

That would be a 2000 – 1900 = 100 LOSS

To find as a percentage, we use the formula:

Where

New = 1900

Old = 2000 (original cost)

Substituting, we find the percentage:

So,

that’s a 5% loss